VAR estimates result for full period.
\r\n\t
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She joined the Center for Vascular and Inflammatory Diseases and the Program in Oncology of the University of Maryland Marlene and Stewart Greenebaum Cancer Center at University of Maryland School of Medicine in 2006 as an Assistant Professor. Dr. Chapoval’s research is focused on cellular and molecular mechanisms of lung chronic inflammatory diseases, asthma in particular, and novel molecules for disease immunotherapy. She is well-recognized for her work on HLA Class II-restricted allergen T cell epitopes, VEGF-induced lung DC modifications, and her recent discoveries on neuroimmune semaphorins 4A and 4D contributions to allergic airway inflammation and to Treg cell phenotype and function. Dr. Chapoval has served and continue to serve as a reviewer for 20+ peer-reviewed scientific journals. 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Venkateswarlu",coverURL:"https://cdn.intechopen.com/books/images_new/371.jpg",editedByType:"Edited by",editors:[{id:"58592",title:"Dr.",name:"Arun",surname:"Shanker",slug:"arun-shanker",fullName:"Arun Shanker"}],productType:{id:"1",chapterContentType:"chapter",authoredCaption:"Edited by"}},{type:"book",id:"878",title:"Phytochemicals",subtitle:"A Global Perspective of Their Role in Nutrition and Health",isOpenForSubmission:!1,hash:"ec77671f63975ef2d16192897deb6835",slug:"phytochemicals-a-global-perspective-of-their-role-in-nutrition-and-health",bookSignature:"Venketeshwer Rao",coverURL:"https://cdn.intechopen.com/books/images_new/878.jpg",editedByType:"Edited by",editors:[{id:"82663",title:"Dr.",name:"Venketeshwer",surname:"Rao",slug:"venketeshwer-rao",fullName:"Venketeshwer Rao"}],productType:{id:"1",chapterContentType:"chapter",authoredCaption:"Edited by"}}]},chapter:{item:{type:"chapter",id:"69601",title:"External Factors on Turkish Short-Term Interest Rates and Daily Exchange Rates: Tranquil Periods versus Politically Stressed Times",doi:"10.5772/intechopen.89931",slug:"external-factors-on-turkish-short-term-interest-rates-and-daily-exchange-rates-tranquil-periods-vers",body:'The risk exposures from the US during the 2007–2009 financial crisis spread rapidly to the global financial markets and gradually increased its severity while the great number of banks bankrupted due to increase in interest rates. The major role for the bankruptcies of the banks in European countries was the domino effect of the spread of interest rate risk in the interbank market and liquidity risk (e.g., [1, 2]). Since the liquidity risks correspond to counterparty risk, the idiosyncratic credit problems arising from the US subprime mortgage market spread rapidly to other countries through the channels of changes in interest rate (e.g., [2, 3, 4, 5]). Brunnermeier and Pedersen [3] empirically show that increase in interest rates affect the financial institutions that have liquidity problems as those institutions are more open to risk contagion arising from the interest rate rise. “For this reason, banks, which carry interbank credit risk threats, are exposed to liquidity risks and such a systemic risk contagion causes subsequent bankruptcies (see e.g., [6, 7, 8, 9, 10, 11])” ([12], p. 243).
Even though the existing literature mainly addresses the issues such as risk contagion across stock markets or foreign exchange markets due to counterparty relationships, macroeconomic risk or financial linkages; how interest rate risk propagates around global financial markets is not fully investigated (e.g., [10, 13, 14, 15]). As interest rates can be used domestically to absorb the external shocks and to balance the currency, the propagation of the interest rate risks between financial markets gains much more importance for economically semi- and fully open countries.
How foreign interest rates and the exchange rates affect the domestic interest rates can be shown with the following equation:
where
According to Edwards [17], the interest rate spread, which can be defined as the difference between lending and riskless rates, is a key transmission channel for interest rate risk propagation (e.g., [5, 18, 19, 20]). Borensztein et al. [21] examine the impact of international interest rate shocks and emerging market risk premia on domestic interest rates and exchange rates for both emerging and developed countries. The authors find different results for Latin American and Asian economies and for different exchange rate regimes. According to that in Mexico and Argentina, emerging market risk premia significantly affects the interest rates. On the other hand, the Asian countries show different reactions according to their exchange rate regimes; Singapore which has a floating exchange rate regime seems unaffected by the external shocks while Hong Kong responses significantly to the emerging market risk premia.
There are more recent papers that investigate the impacts of external shocks for various countries. In Ref. [22], Demirel investigates the impulse responses of the Turkish economy to the US interest rate shocks. The study reveals that Turkey is less sensitive to the interest rate shocks while she has lower levels of external debt. Therefore, the author concludes that the foreign interest rate shocks depend on the level of external debt for small-open economies. Allegret et al. [23] examine the relative importance of external shocks in domestic fluctuations for East Asian countries. Using a structural VAR model, the authors show that real oil price and the US GDP shocks have significant impacts on domestic activity. They also reveal that since the mid-1990s, external shocks have rising impacts on domestic variables in those countries. Using a trend-cycle VAR model, Andrle et al. [24] investigate how external factors affect the Poland’s domestic variables. According to that, the authors reach the conclusion that about 50% of Poland’s output and interest rate variance and about 25% of the variance of inflation can be explained with shocks from Euro zone. Pelipas et al. [25] test the significance of Russia’s GDP and oil prices as the external factors on Belarus’ economy. Using generalized impulse response functions, the authors show that oil prices have strong and negative impact on the economy while Russia’s GDP does not have that strong impact.
This chapter is motivated to some extent by the earlier work of Edwards [26] and Borensztein et al. [21]. Therefore, following those studies, in this study, I aim to construct a vector auto regression (VAR) model to examine the effect of external shocks on Turkish short-term interest rates and the exchange rate. Differently from Edwards [26] and Borensztein et al. [21] and the more recent papers, I investigate how the impact of external shocks change according to tranquil and politically stressed periods as Turkey is a rather politically instable country and this situation causes authorities to interfere with the floating exchange rate regime every now and then.
The chapter is structured as follows. Section 2 presents data we use to analyze the impacts of external shocks on the Turkish short-term interest rates and the exchange rate; and the VAR model under Section 2.2. Section 3 reports the estimation results according to full period, each politically stressed periods and the politically tranquil periods. Finally, the wrap up of the results and conclusions are offered in Section 4.
The time period, in this study, is determined as January 2011–December 2018. Turkey has been governed by one political party since 2002. Therefore, the period from 2002 to today can be counted as a rather politically stable period for Turkey. However, in our study we do not want to include the first 5 years of the AKP (The Justice and Development Party) governments as this period can be counted as the rebalancing and redevelopment period after the heavy financial crisis of 2001. Furthermore, as during the years between 2007 and 2010, global financial crisis may have a dominant role on the markets instead of local developments, we do not include this period into our study too. Therefore, the period that we decide to examine, 2011–2018, solely shows us the impact of external factors change on the short-term interest rates and the daily exchange rates according to politically stressed times or tranquil periods.
In this study, 3-months interbank rates are used as the short-term interest rates. To be able to assess how group of emerging countries affect Turkish domestic interest rates and the exchange rates, daily iShares MSCI emerging markets ETF is used as the proxy of the emerging market risk premia (difference between return of a risky asset and the risk-free rate). Finally for the exchange rate, daily spot exchange rate against the US Dollar is used. Therefore, our data set includes daily 3-months interbank interest rates for Turkey and the US, daily iShares MSCI emerging markets ETF and daily spot exchange rate against the US Dollar for Turkish Lira.
Data set covers the period January 1, 2011–December 31, 2018 for a total of 2087 daily observations and is downloaded from Bloomberg Terminal. Figure 1 represents the graphs of each group of data for the examined period.
Exchange rates in Turkey, interest rates in Turkey and the US and emerging markets risk premia (2011–2019).
In Figure 1, the first graph presents how USD/TRY exchange rate changes between 2011 and 2019. Second and third graphs present the pattern of short-term interest rates for USA and Turkey between 2011 and 2019. The final graph shows how emerging market risk premium changes during the 2011–2019 period.
To be able to determine the politically stressed times that have significant impacts on the financial markets of Turkey, we identify the financial stress periods. For this purpose, we first identify the anomalies on the daily price changes on Borsa Istanbul. We define the anomalies as 5% or above drop on the main index of Borsa Istanbul in total in at least 5 days period.
Financial markets experience either a crash or a bear market. The widely used criteria for a crash is 10% drop from the peak prices in 1 or 2 days and a drop of at least 20% off peak prices in a wider time period for the bear market. While identifying the price anomalies in Turkish market, we consider both of those criteria. To be able to decide on the exact drop rate, we examine the sharp drops in Borsa Istanbul for 20 years period. During that period, the average correction rate for the market is calculated as 3.7%. Therefore to able to identify a price movement as an anomaly, we need to determine a rate above this rate. However, as we do not want to keep that rate as high as a rate that is needed to classify the drop as a stock crash, we identify 5% and above rates as price anomalies. Finally, as we determine that Borsa Istanbul shows the strongest reactions to negative events or news in the first 5 days on average, we decide on the 5 days criterion.
After the examination of the daily price changes of Borsa Istanbul from 2011 till 2019, we identify eight different periods that BIST100 lose at least 5% in total in at least 5 days.
Following the identification of the financial stress periods, we identify the domestic political developments that occur on the same periods. These are;
10 days period which starts with the early retirement request of commanders of Turkish Army on 29th July 2011,
3 weeks period which starts with Gezi Park incidents on 28th May 2013,
1 month period which starts with the operation of FETO terror organization to government authorities on 17th December 2013,
10 days period which starts on 31st July 2014 prior to presidential election,
the period which starts with the 7th June 2015 general elections and continues until the announcement of new elections on 25th August 2015,
2 weeks period which starts with the shootdown of Russian plane on Turkish border on 24th November 2015,
2 weeks period which starts with the military coup attempt on 15th July 2016,
3 months period which starts with the announcement of new cabinet on 2nd July 2018 and strengthens with Pastor Branson’s house arrest and ends with Brunson’s return to USA.
To be able to show the relation between short-term interest rates of USA, short-term interest rates of Turkey and USD/TRY exchange rate, we prepare Figure 2. Although the figure does not allow us to statistically prove the correlation between the US interest rates, Turkish interest rates and USD/TRY exchange rate; it is still possible to see that especially in the latter period (after 2017) short-term interest rates of USA, short-term interest rates of Turkey and USD/TRY share significant common pattern.
Short-term interest rate of USA, short-term interest rate of Turkey and USD/TRY exchange rate.
Figure 2 presents the graphs of the short-term interest rates for both US and Turkey and the USD/TRY exchange rate for the 2011–2019 period.
Differently from Figure 2, Figure 3 brings emerging risk premia and short-term interest rates of Turkey and USD/TRY exchange rate together to show whether Turkish risky assets and emerging markets risk premia share common pattern during the examined period.
Emerging markets risk premia, short-term interest rate of Turkey and USD/TRY.
Figure 3 presents the graphs of iShares MSCI Emerging Markets ETF, Turkish short-term interest rate and USD/TRY exchange rate for the 2011–2019 period.
In this chapter, to be able to examine the effect of US interest rates and emerging market risk premia on the domestic short-term interest rate of Turkey and exchange rate against the US Dollar, we construct a vector auto regression (VAR) model. More specifically, the model includes the Turkish short-term interest rate, the US short-term interest rate, the natural logarithm of the exchange rate against the US dollar and iShares MSCI emerging markets ETF. We expect to see that during the tranquil periods, the Turkish short-term interest rate and the USD/TRY exchange rate are both positively and significantly affected by the US short-term interest rate and the emerging market risk premia. According to that, we expect to see that short-term Turkish interest rate and the USD/TRY exchange rate increase with the increasing short-term US interest rate and the emerging market risk premia. However, during the politically stressed periods it is not possible to estimate the relations between those variables as each political stress may have a different impact according to their dynamics. For instance, while a fully domestic political stress may cause Turkish financial markets to separate from the rest of the world, a political stress that is caused by an international development may cause Turkish markets to more sensitive to the external shocks.
“The vector autoregression (VAR) model is one of the most successful, flexible, and easy to use models for the analysis of multivariate time series” ([27], p. 385). It is a natural extension of the univariate autoregressive model to dynamic multivariate time series.1
Let Yt = (y1t, y2t, …, ynt)’ denote an (n × 1) vector of time series variables. The basic p-lag vector autoregressive model has the form;
where
where cov(
In lag operator notation, the VAR(p) is written as;
where
lie outside the complex unit circle (have modulus greater than one), or, equivalently, if the eigenvalues of the companion matrix have modules less than one. Assuming that the process has been initialized in the infinite past, then a stable VAR(p) process is stationary and ergodic with time invariant means, variances and autocovariances.
If
The mean-adjusted form of the VAR(p) is then;
The general form of the VAR(p) model with deterministic terms and exogenous variables is given by;
where
To be able to estimate the basic VAR(p) model, each equation in the model can be written as;
where
In this study, to be able to show how the impact of external shocks on domestic interest rates and the exchange rates change according to political stress in Turkey, we construct a VAR model. Figure 4 plots interest rates and exchange rates in Turkey over the period of 2011–2019. The politically stressed periods are highlighted on this figure to show how domestic interest rates and exchange rates react to political developments. Therefore, eight shaded lines on Figure 4 identify the following major political crises in Turkey;
10 days period which starts with the early retirement request of commanders of Turkish Army on 29th July 2011,
3 weeks period which starts with Gezi Park incidents on 28th May 2013,
1 month period which starts with the operation of FETO terror organization to the government authorities on 17th December 2013,
10 days period which starts on 31st July 2014 prior to presidential election,
The period which starts with the 7th June 2015 general elections and continues until the announcement of new elections on 25th August 2015,
2 weeks period which starts with the shootdown of Russian plane on Turkish border on 24th November 2015,
2 weeks period which starts with the military coup attempt on 15th July 2016,
3 months period which starts with the announcement of new cabinet on 2nd July 2018 and strengthens with Pastor Branson’s house arrest and ends with Brunson’s return to USA.
Short-term interest rates and spot exchange rate in Turkey.
Figure 4 presents the graphs of Turkish short-term interest rates and the USD/TRY exchange rate for the period of 2011–2019. Figure 4 also highlights the political stress periods to show how interest rate and exchange rate react to the political stresses.
Figure 4 highlights the political stress periods to show how short-term interest rates and the USD/TRY pair react to the political stresses. As it can be clearly seen from the graph, most of the time political crises coincide with the sharp depreciation of the Turkish Lira against the US Dollar, while interest rates seem to react shortly after the political crises. Political stress #8 which starts with the lawsuit of Pastor Branson seems to have the most remarkable impact on Turkish interest rates which causes a rise from around 17% to above 25%. According to Figure 4, Turkish Lira significantly depreciates and short-term interest rates significantly increase in the fourth quarter of 2011, the first quarter of 2017 and the fourth quarter of 2017. However, as we did not identify any political crisis during those periods, we are not in a position to relate these drastic moves with any political stress.
We use VAR analysis to model the behaviour of domestic interest rates and nominal exchange rates. By doing so while our main target is detecting the impact of external shocks on these variables, by identifying the major politically stress periods we also aim to see how political stress makes changes on the impacts of external factors on domestic interest rates and nominal exchange rates. From 1 January 2011 to 31 December 2018, I estimate a VAR model including domestic 3-months interest rates, the logarithm of the nominal exchange rate against the US Dollar, 3-months US interest rates and iShares MSCI Emerging Markets ETF. To be able to eliminate the serial correlation in the residuals, we use a specification with 3 lags. By following ([16], p. 12) “in order to identify the impulse responses, errors were orthogonalised by a Cholesky decomposition”.
VAR test reveals that for the period of 2011–2019, Turkish short-term interest rates and the USD/TRY exchange rate are not significantly affected by the US short-term interest rates in the short run. However, after our preliminary analysis, we increase the lag lengths to see if the US short-term interest rates have significant impact on Turkish interest rates and the exchange rate in longer term. The results reveal that while the exchange rate is not affected by the US short-term interest rates even in longer term; with 10 days lag interval the US short-term interest rates has a significant impact on the Turkish short-term interest rates at 90% confidence level. Therefore, for the examined period, we conclude that while the US short-term interest rates do not affect exchange rates in Turkey, Turkish short-term interest rates show a significant positive response to the shocks from the US after 10 days.
When we examine the impact of emerging markets on Turkish short-term interest rates and exchange rates we see that, emerging market risk premia has a stronger effect compared to the short-term US interest rates. According to that, the shocks coming from the emerging markets significantly affect the Turkish short-term interest rates and USD/TRY in the first 2 days. Unlike the US short-term interest rates, the impact of the emerging markets risk premia on the Turkish short-term interest rates and Turkish exchange rate disappear in the longer term.
To be able to explain the general pattern of the response of Turkish short-term interest rates and the exchange rate to the US short-term interest rates and the emerging market risk premia we perform the impulse response functions.
Figure 5 presents the impulse response functions of short-term interest rates of Turkey and USD/TRY exchange rate to the short-term interest rates of USA and the emerging market risk premia.
Impulse response functions: innovations ± 2 standard errors. Impact on interest rates and exchange rates (logs) of percentage point shock to US interest rates and emerging markets risk.
Figure 5 shows the impulse response functions of USD/TRY and the Turkish short-term interest rates to one percentage point US interest rate shock and emerging market risk premia shock. First, it is worth noting that the impact of the US interest rate shock to the exchange rate reaches its peak after 1 week while the impact of the US short-term interest rate shock to the Turkish short-term interest rates reaches its peak after 10 days. The interesting point is, while the US interest shocks affect Turkish exchange rate positively during the first 4 days, after the 4th day it starts to have a negative impact. However, the estimated impact on the exchange rate is not significantly different from zero during 10 days period, confirming that the exchange rate in Turkey is not affected by the US interest rates. The impact of the short-term US interest rates become significant on the short-term interest rates of Turkey on the 10th day confirming that short-term interest rates in Turkey are significantly affected by the US rates.
On the other hand, interest rate and the exchange rate react to emerging market risk premia shocks in a different way. According to that, the Turkish currency responds to emerging markets risk premia significantly and drastically on the first few days with increasing trend after the fourth day while Turkish short-term interest rate’s response deepens after the fourth day and reaches its peak on the 9th day.
During the political stress #1 emerging markets risk premia significantly affects both the USD/TRY pair and the Turkish short-term interest rates. The USD/TRY pair responds significantly on the first day while short-term interest rate responds to the shocks coming from emerging markets on both the first and the second days.
During this politically stressed period, while the US short-term interest rate significantly affects the exchange rate on the second day, it has no significant impact on the short-term interest rates on neither the first nor the second day.
Results reveal that during the political stress #2, neither the Turkish short-term interest rates nor the exchange rate in Turkey are significantly affected by both the US short-term interest rates and the emerging market risk premia. Therefore, we can clearly declare that the Gezi Park incidents cause Turkish capital markets to enter an extra sensitive period to domestic developments while external shocks stop affecting the short-term interest rates and the exchange rate. In other words, during this stressed period, the short-term interest rates and the USD/TRY pair respond to domestic shocks/news instead of external factors.
During the politically stressed period #3, the Turkish Lira depreciates, Borsa Istanbul crashes and interest rates rise significantly. VAR analysis reveals that the reasons of these drastic moves are totally domestic. According to that, during that period, neither emerging market risk premia nor the US short-term interest rates significantly affect the short-term interest rates and the exchange rates in Turkey.
Prior to 2014 presidential election, Turkish money markets show instability during a 10 days period. During that rather politically stressed period, Borsa Istanbul declines significantly and Turkish Lira depreciates. During this short period, VAR analysis reveals that external shocks do not have any significant impacts on the market. According to that, neither exchange rates nor interest rates respond to any shocks from the US interest rates and the emerging markets.
The fifth political stress has the same impact with the previous stresses as during that period the external factors do not have any significant effect on the short-term interest rates and the exchange rates of Turkey. According to that, during that period, sharp depreciation of the Turkish Lira and the rise in the interest rates occur due to domestic developments.
The results reveal different conclusion regarding the impacts of the external shocks during the politically stressed times for this specific incident. According that, during the political stress that arises due to shootdown of Russian plane on Turkish border, the Turkish currency is significantly affected by the short-term US interest rates. During that period, Turkish currency significantly responds to the changes on the US short-term interest rates in the first and the second days. During that period, the exchange rate significantly responds to also the emerging risk premia in the second day. However, Turkish short-term interest rates are not significantly affected by any of those external factors during the stress period.
After the military coup attempt, the exchange rate in Turkey starts to show significant response to the shocks that are coming from the emerging markets. During that period emerging risk premia has a significant impact on the short-term interest rates too. Differently from the previous political stress, this time the US short-term interest rates do not have any significant impact on the exchange rate. However, this time, the Turkish short-term interest rate significantly responds to the shocks coming from the US interest rates.
Probably, in the last decade, Turkey has experienced the deepest financial stress during this politically stress period. Right after Turkey and the USA start to have a serious diplomatic crisis due to trial of Pastor Branson, the Turkish Lira drastically depreciates and Turkish Central Bank has to increase the interest rates dramatically. During that period, our results show that the Turkish Lira and the short-term interest rates are not affected by the external shocks at all. As expected, during that period domestic news play significant role on the value of the Turkish Lira and the short-term interest rates.
According to Figure 4, although we do not identify any political crisis, Turkish Lira depreciates and short-term interest rate rises significantly during the fourth quarter of 2011, the first quarter of 2017 and the fourth quarter of 2017. To be able to understand the reasons of these changes, we run analysis specifically for these periods. The results reveal that the changes on the short-term interest rates and the exchange rate occur as a respond to the shocks from emerging markets in the fourth quarter of 2011 and the fourth quarter of 2017 while the depreciation of the Turkish Lira and the increase in interest rates in the first quarter of 2017 occur as a strong respond to the shocks coming from the US short-term interest rates.
This chapter analyses the reaction of short-term interest rate and exchange rate of Turkey to the external shocks and how this reaction changes according to domestic political tension. For this purpose, the reaction of interest rates and exchange rates to the American interest rate volatility and emerging market risk factor is tested for the period of 2011–2019. During that period, we identified eight major politically stressed periods that have significant negative impact on Turkish money markets.
The primary result that we get from the VAR test for the period of 2011–2019 is that Turkish short-term interest rates and the USD/TRY exchange rate are not significantly affected by the US short-term interest rates in the short run. However, Turkish short-term interest rates significantly respond to the US short-term interest rates after 10 days. On the other hand, emerging market risk premia seems to be much more important factor on Turkish short-term interest rates and the exchange rate as during the 2011–2019 period, Turkish short-term interest rates and the exchange rate significantly respond to the shocks coming from emerging markets in the first 2 days.
If we sum up the impacts of each political stress period on the impacts of external factors on the domestic interest rates and the exchange rate, we get a blurred picture as it is difficult to generalize the impacts of political stresses. According to that, while the political stress #1 and the political stress #7 do not change how external factors affect the domestic interest rate and the exchange rate as those keep significantly responding to emerging market risk premia and the short-term US interest, during the political stresses #2, #3, #4, #5, and #8, neither exchange rates nor interest rates respond to any shocks from the US interest rates and the emerging markets. Therefore, we suggest that while the early retirement request of commanders of Turkish Army and military coup attempt did not create strong enough impact to change the pricing structure of Turkish assets and/or perception of the investors; the Gezi Park incidents, the operation of FETO terror organization to the government authorities, 2014 presidential election, 7th June 2015 general elections and afterward, and the announcement of new cabinet after 2018 elections and the Branson incident were strong enough to change the pricing priorities of investors on Turkish risky assets. Following those developments, domestic news seem to have more significant effect on the short-term interest rates and the exchange rate compared to the external factors. Only during the political stress period #6, shooting down of Russian plane, created mixed impact on the external factors as during this period the Turkish currency significantly responded to the US short-term interest rates in shorter period while it kept significantly responding to the emerging market risk premia.
The findings of this paper are quite important to understand how an emerging country can deal or should deal with a possible financial shock/crisis. According to this, the first and maybe the most important outcome of the study was that although an emerging country is in a politically stressed situation, this stress’s impact on the money markets change according to the dynamics of the situation. While a fully domestic development may cause financial market to separate from the rest of the world or the countries that is normally strongly integrated with, another negative development that occurs due to foreign diplomatic issues might have an opposite impact. Therefore, policy makers should primarily determine and examine the reasons of a political tension to foresee the possible consequences in the financial markets. For the Turkish case, this study clearly showed that while during the tranquil periods Turkey is significantly integrated with both the US and the emerging markets and any shocks from those markets significantly affect both interest rates and the exchange rates, some political developments, especially army and USA related ones, cause Turkey to negatively separate from those markets. Secondly, this study quantitatively proved that the shocks that are originated from the group of emerging markets significantly affect other emerging markets in very short term while shocks from a developed country, USA in our case, show its impacts in a longer term. In this case, policy makers should be aware of the danger that instability of an emerging country may have a significant impact on their financial markets very quickly. In other words, while an emerging country has strong and healthy dynamics, a negative shock from other emerging countries may also negatively and significantly affect that specific country in the first or second day. Therefore, policy makers should be aware of the time periods while taking precautions to the negative developments in other countries.
As a result, the findings of this chapter clearly prove that an emerging country is open to financial shocks even if the country is politically tranquil due to significant effects of the group of emerging markets and the USA. In case of a political stress, on the other hand, the situation becomes more complicated as some of the political crisis cause financial markets to react negatively internal news instead of external shocks. Therefore, in emerging countries, investors and policy makers should always consider political stability of the country, dynamics of the political tension and the risk level of the group of emerging markets in the short term and the changes in the short-term interest rates of USA in the rather longer term.
Vector autoregression estimates | ||||
---|---|---|---|---|
USD_TRY | USA | TR | MSCI_EMERGING | |
USD_TRY(−1) | 1.239555 | −0.001096 | −0.149446 | −0.234697 |
(0.02242) | (0.00351) | (0.07595) | (0.30998) | |
[55.2812] | [−0.31261] | [−1.96770] | [−0.75714] | |
USD_TRY(−2) | −0.428334 | −0.001819 | 0.434834 | −0.279474 |
(0.03463) | (0.00541) | (0.11729) | (0.47870) | |
[−12.3698] | [−0.33595] | [3.70736] | [−0.58382] | |
USD_TRY(−3) | 0.188575 | 0.003611 | −0.244834 | 0.474752 |
(0.02251) | (0.00352) | (0.07624) | (0.31118) | |
[8.37756] | [1.02591] | [−3.21119] | [1.52566] | |
USA(−1) | 0.078956 | 0.973994 | −0.164896 | −1.484175 |
(0.13915) | (0.02176) | (0.47131) | (1.92359) | |
[0.56743] | [44.7690] | [−0.34987] | [−0.77157] | |
USA(−2) | −0.194843 | 0.189506 | −0.492364 | 0.445107 |
(0.19382) | (0.03031) | (0.65652) | (2.67948) | |
[−1.00526] | [6.25325] | [−0.74996] | [0.16612] | |
USA(−3) | 0.122793 | −0.162329 | 0.641158 | 1.137173 |
(0.13949) | (0.02181) | (0.47246) | (1.92829) | |
[0.88032] | [−7.44312] | [1.35705] | [0.58973] | |
TR(−1) | 0.018625 | −0.001770 | 1.175840 | −0.003223 |
(0.00649) | (0.00101) | (0.02198) | (0.08970) | |
[2.87047] | [−1.74446] | [53.5019] | [−0.03593] | |
TR(−2) | −0.031462 | 0.001251 | −0.158691 | 0.110968 |
(0.00993) | (0.00155) | (0.03362) | (0.13723) | |
[−3.16940] | [0.80626] | [−4.71967] | [0.80864] | |
TR(−3) | 0.011875 | 0.000448 | −0.022727 | −0.112278 |
(0.00647) | (0.00101) | (0.02191) | (0.08941) | |
[1.83610] | [0.44281] | [−1.03744] | [−1.25577] | |
MSCI_EMERGING(−1) | 0.006609 | −0.000374 | −0.013413 | 0.950738 |
(0.00164) | (0.00026) | (0.00556) | (0.02268) | |
[4.02779] | [−1.45922] | [−2.41343] | [41.9154] | |
MSCI_EMERGING(−2) | −0.008802 | 6.42E-05 | 0.019646 | 0.033825 |
(0.00229) | (0.00036) | (0.00776) | (0.03166) | |
[−3.84306] | [0.17935] | [2.53237] | [1.06829] | |
MSCI_EMERGING(−3) | 0.002344 | 0.000305 | −0.004392 | 0.004523 |
(0.00165) | (0.00026) | (0.00558) | (0.02277) | |
[1.42275] | [1.18279] | [−0.78721] | [0.19864] | |
C | 0.001672 | −0.000695 | −0.104660 | 0.530523 |
(0.01176) | (0.00184) | (0.03982) | (0.16252) | |
[0.14220] | [−0.37831] | [−2.62837] | [3.26443] | |
R-squared | 0.998765 | 0.999927 | 0.999116 | 0.985729 |
Adj. R-squared | 0.998758 | 0.999926 | 0.999111 | 0.985646 |
Sum sq. resids | 2.957368 | 0.072297 | 33.92978 | 565.1823 |
S.E. equation | 0.037798 | 0.005910 | 0.128028 | 0.522527 |
F-statistic | 139543.2 | 2,358,791. | 194978.8 | 11914.92 |
Log likelihood | 3873.742 | 7739.029 | 1332.489 | −1597.100 |
Akaike AIC | −3.706906 | −7.418175 | −1.266912 | 1.545943 |
Schwarz SC | −3.671697 | −7.382966 | −1.231703 | 1.581152 |
Mean dependent | 2.728274 | 0.738451 | 11.06632 | 40.88733 |
SD dependent | 1.072606 | 0.689107 | 4.293795 | 4.361402 |
VAR estimates result for full period.
Sample (adjusted): 1/06/2011–12/31/2018.
Included observations: 2083 after adjustments.
Standard errors in () & t-statistics in [].
Vector autoregression estimates | ||||
---|---|---|---|---|
USD_TRY | TR | USA | MSCI_EMERGING | |
USD_TRY(−1) | −0.872545 | 8.859426 | −0.060340 | −31.14791 |
(0.62071) | (3.47853) | (0.29360) | (41.8594) | |
[−1.40573] | [2.54689] | [−0.20552] | [−0.74411] | |
USD_TRY(−2) | 0.308087 | 13.98951 | 0.103715 | −92.17556 |
(0.60804) | (3.40756) | (0.28761) | (41.0055) | |
[0.50668] | [4.10543] | [0.36061] | [−2.24788] | |
TR(−1) | −0.021083 | 0.888519 | −0.005818 | −4.368654 |
(0.04691) | (0.26291) | (0.02219) | (3.16377) | |
[−0.44939] | [3.37956] | [−0.26218] | [−1.38084] | |
TR(−2) | 0.127874 | −0.081052 | −0.029449 | −12.88844 |
(0.05263) | (0.29492) | (0.02489) | (3.54897) | |
[2.42989] | [−0.27483] | [−1.18308] | [−3.63160] | |
USA(−1) | 1.360505 | 2.451433 | 0.474769 | −46.93249 |
(1.13015) | (6.33354) | (0.53457) | (76.2157) | |
[1.20382] | [0.38706] | [0.88814] | [−0.61579] | |
USA(−2) | 1.357323 | −27.54796 | 0.247523 | 32.81856 |
(1.41483) | (7.92892) | (0.66922) | (95.4140) | |
[0.95935] | [−3.47437] | [0.36987] | [0.34396] | |
MSCI_EMERGING(−1) | −0.013139 | 0.090067 | −0.001294 | 0.300612 |
(0.00716) | (0.04014) | (0.00339) | (0.48306) | |
[−1.83430] | [2.24372] | [−0.38187] | [0.62231] | |
MSCI_EMERGING(−2) | −0.002236 | 0.142830 | 0.002761 | 0.051437 |
(0.00847) | (0.04748) | (0.00401) | (0.57139) | |
[−0.26393] | [3.00808] | [0.68888] | [0.09002] | |
C | 1.753591 | −41.44923 | 0.239769 | 391.0476 |
(2.30845) | (12.9369) | (1.09191) | (155.678) | |
[0.75964] | [−3.20396] | [0.21959] | [2.51190] | |
R-squared | 0.981377 | 0.991826 | 0.951979 | 0.986179 |
Adj. R-squared | 0.906885 | 0.959132 | 0.759893 | 0.930895 |
Sum sq. resids | 0.000261 | 0.008212 | 5.85E-05 | 1.189129 |
S.E. equation | 0.011434 | 0.064077 | 0.005408 | 0.771080 |
F-statistic | 13.17424 | 30.33649 | 4.956014 | 17.83851 |
Log likelihood | 42.95073 | 23.99218 | 51.18588 | −3.372616 |
Akaike AIC | −6.172859 | −2.725851 | −7.670159 | 2.249567 |
Schwarz SC | −5.847309 | −2.400300 | −7.344609 | 2.575117 |
Mean dependent | 1.741182 | 8.368442 | 0.272727 | 42.97664 |
SD dependent | 0.037470 | 0.316965 | 0.011037 | 2.933228 |
VAR estimates result for political stress #1.
Sample: 7/29/2011–8/12/2011.
Included observations: 11.
Standard errors in () & t-statistics in [].
Vector autoregression estimates | ||||
---|---|---|---|---|
USD_TRY | TR | USA | MSCI_EMERGING | |
USD_TRY(−1) | 1.045822 | 1.551895 | 0.082439 | −16.61406 |
(0.35577) | (3.63916) | (0.07309) | (17.9657) | |
[2.93957] | [0.42644] | [1.12787] | [−0.92477] | |
USD_TRY(−2) | −0.592774 | 0.541974 | 0.086876 | 4.068066 |
(0.38266) | (3.91418) | (0.07862) | (19.3234) | |
[−1.54909] | [0.13846] | [1.10506] | [0.21053] | |
TR(−1) | 0.000282 | 0.879367 | −0.015476 | 1.021491 |
(0.03042) | (0.31120) | (0.00625) | (1.53631) | |
[0.00926] | [2.82575] | [−2.47605] | [0.66490] | |
TR(−2) | 0.020745 | −0.085642 | 0.007593 | −1.961514 |
(0.02836) | (0.29005) | (0.00583) | (1.43189) | |
[0.73162] | [−0.29527] | [1.30335] | [−1.36988] | |
USA(−1) | 1.896724 | 18.28130 | −0.244931 | −19.59458 |
(1.23033) | (12.5849) | (0.25277) | (62.1287) | |
[1.54164] | [1.45264] | [−0.96899] | [−0.31539] | |
USA(−2) | −0.351707 | 15.14300 | 0.055503 | −52.90086 |
(1.28545) | (13.1487) | (0.26409) | (64.9120) | |
[−0.27361] | [1.15167] | [0.21017] | [−0.81496] | |
MSCI_EMERGING(−1) | −0.006059 | −0.069716 | 0.002865 | 0.531484 |
(0.00809) | (0.08272) | (0.00166) | (0.40836) | |
[−0.74921] | [−0.84281] | [1.72434] | [1.30151] | |
MSCI_EMERGING(−2) | 0.011379 | −0.007283 | −0.003909 | −0.024268 |
(0.00942) | (0.09636) | (0.00194) | (0.47571) | |
[1.20785] | [−0.07558] | [−2.01978] | [−0.05101] | |
C | 0.270639 | −8.592797 | 0.095488 | 68.32132 |
(0.88691) | (9.07206) | (0.18221) | (44.7866) | |
[0.30515] | [−0.94717] | [0.52404] | [1.52549] | |
R-squared | 0.779097 | 0.964512 | 0.648236 | 0.870906 |
Adj. R-squared | 0.602375 | 0.936121 | 0.366825 | 0.767630 |
Sum sq. resids | 0.002105 | 0.220288 | 8.89E-05 | 5.368774 |
S.E. equation | 0.014510 | 0.148421 | 0.002981 | 0.732719 |
F-statistic | 4.408603 | 33.97284 | 2.303518 | 8.432841 |
Log likelihood | 59.56320 | 15.38413 | 89.63188 | −14.95336 |
Akaike AIC | −5.322442 | −0.672013 | −8.487566 | 2.521406 |
Schwarz SC | −4.875076 | −0.224648 | −8.040200 | 2.968772 |
Mean dependent | 1.884921 | 5.980695 | 0.271579 | 40.16632 |
SD dependent | 0.023011 | 0.587241 | 0.003746 | 1.520014 |
VAR estimates result for political stress #2.
Sample: 5/28/2013–6/21/2013.
Included observations: 19.
Standard errors in () & t-statistics in [].
Vector autoregression estimates | ||||
---|---|---|---|---|
USD_TRY | TR | USA | MSCI_EMERGING | |
USD_TRY(−1) | 0.252091 | 4.905135 | −0.100362 | −3.579565 |
(1.02806) | (3.21845) | (0.17927) | (6.53266) | |
[0.24521] | [1.52407] | [−0.55983] | [−0.54795] | |
USD_TRY(−2) | −0.294757 | 8.237847 | 0.007630 | 20.28858 |
(1.42700) | (4.46736) | (0.24884) | (9.06764) | |
[−0.20656] | [1.84401] | [0.03066] | [2.23747] | |
TR(−1) | 0.108817 | −0.159976 | 0.025424 | 1.179018 |
(0.15216) | (0.47636) | (0.02653) | (0.96690) | |
[0.71513] | [−0.33583] | [0.95816] | [1.21938] | |
TR(−2) | 0.043346 | −0.073717 | 0.004355 | 0.396928 |
(0.06720) | (0.21036) | (0.01172) | (0.42699) | |
[0.64507] | [−0.35042] | [0.37162] | [0.92960] | |
USA(−1) | 4.359186 | 6.880054 | 1.223262 | −8.315462 |
(5.69159) | (17.8181) | (0.99249) | (36.1663) | |
[0.76590] | [0.38613] | [1.23251] | [−0.22992] | |
USA(−2) | −4.603798 | −12.52887 | −1.557584 | −176.5719 |
(10.1715) | (31.8428) | (1.77369) | (64.6331) | |
[−0.45262] | [−0.39346] | [−0.87816] | [−2.73191] | |
MSCI_EMERGING(−1) | −0.042445 | −0.279831 | −0.012791 | −1.229423 |
(0.07507) | (0.23500) | (0.01309) | (0.47700) | |
[−0.56543] | [−1.19075] | [−0.97716] | [−2.57741] | |
MSCI_EMERGING(−2) | 0.076973 | 0.263341 | 0.010266 | 0.595434 |
(0.06557) | (0.20527) | (0.01143) | (0.41664) | |
[1.17394] | [1.28292] | [0.89786] | [1.42913] | |
C | −0.504984 | −14.32025 | 0.366730 | 64.21933 |
(2.80039) | (8.76691) | (0.48833) | (17.7947) | |
[−0.18033] | [−1.63344] | [0.75099] | [3.60891] | |
R-squared | 0.944309 | 0.994128 | 0.799905 | 0.977004 |
Adj. R-squared | 0.498785 | 0.947151 | −0.800856 | 0.793032 |
Sum sq. resids | 0.000592 | 0.005804 | 1.80E−05 | 0.023913 |
S.E. equation | 0.024336 | 0.076186 | 0.004244 | 0.154638 |
F-statistic | 2.119544 | 21.16193 | 0.499703 | 5.310618 |
Log likelihood | 34.48162 | 23.06937 | 51.94686 | 15.99023 |
Akaike AIC | −5.096325 | −2.813875 | −8.589371 | −1.398046 |
Schwarz SC | −4.823998 | −2.541548 | −8.317045 | −1.125720 |
Mean dependent | 2.093070 | 8.858114 | 0.249000 | 40.94500 |
SD dependent | 0.034374 | 0.331400 | 0.003162 | 0.339910 |
VAR estimates result for political stress #3.
Sample: 12/17/2013–12/30/2013.
Included observations: 10.
Standard errors in () & t-statistics in [].
Vector autoregression estimates | ||||
---|---|---|---|---|
USD_TRY | TR | USA | MSCI_EMERGING | |
USD_TRY(−1) | −0.519237 | 5.242203 | −0.018683 | 12.66113 |
(0.53772) | (8.59526) | (0.07212) | (28.5601) | |
[−0.96563] | [0.60989] | [−0.25906] | [0.44332] | |
USD_TRY(−2) | −0.521707 | 3.284314 | −0.116449 | 34.40483 |
(0.38776) | (6.19818) | (0.05201) | (20.5951) | |
[−1.34546] | [0.52988] | [−2.23911] | [1.67053] | |
TR(−1) | 0.033199 | 0.584900 | −0.002042 | −1.450924 |
(0.02810) | (0.44925) | (0.00377) | (1.49274) | |
[1.18128] | [1.30196] | [−0.54171] | [−0.97198] | |
TR(−2) | 0.024623 | 0.209647 | −0.007635 | 0.635585 |
(0.03095) | (0.49468) | (0.00415) | (1.64371) | |
[0.79564] | [0.42380] | [−1.83935] | [0.38668] | |
USA(−1) | −2.852733 | −1.444260 | −0.348541 | 65.70581 |
(2.87562) | (45.9662) | (0.38569) | (152.735) | |
[−0.99204] | [−0.03142] | [−0.90369] | [0.43019] | |
USA(−2) | 1.643630 | 56.99025 | −0.609977 | 39.20152 |
(2.56418) | (40.9878) | (0.34391) | (136.193) | |
[0.64100] | [1.39042] | [−1.77363] | [0.28784] | |
MSCI_EMERGING(−1) | −0.009292 | 0.051124 | −0.001046 | 1.098503 |
(0.01213) | (0.19387) | (0.00163) | (0.64419) | |
[−0.76609] | [0.26370] | [−0.64291] | [1.70524] | |
MSCI_EMERGING(−2) | 0.012677 | −0.037399 | −0.002046 | −0.335273 |
(0.01016) | (0.16248) | (0.00136) | (0.53989) | |
[1.24711] | [−0.23017] | [−1.50076] | [−0.62100] | |
C | 3.995803 | −30.06631 | 0.974848 | −107.8384 |
(2.68089) | (42.8534) | (0.35957) | (142.392) | |
[1.49048] | [−0.70161] | [2.71117] | [−0.75733] | |
R-squared | 0.893257 | 0.940998 | 0.955591 | 0.778050 |
Adj. R-squared | 0.608608 | 0.783658 | 0.837167 | 0.186182 |
Sum sq. resids | 0.000172 | 0.043909 | 3.09E−06 | 0.484785 |
S.E. equation | 0.007568 | 0.120980 | 0.001015 | 0.401989 |
F-statistic | 3.138103 | 5.980680 | 8.069210 | 1.314567 |
Log likelihood | 49.89570 | 16.63606 | 74.00372 | 2.226473 |
Akaike AIC | −6.815950 | −1.272677 | −10.83395 | 1.128921 |
Schwarz SC | −6.452270 | −0.908997 | −10.47027 | 1.492601 |
Mean dependent | 2.151733 | 9.187219 | 0.234792 | 44.07875 |
SD dependent | 0.012098 | 0.260102 | 0.002516 | 0.445605 |
VAR estimates result for political stress #4.
Sample: 7/31/2014–8/15/2014.
Included observations: 12.
Standard errors in () & t-statistics in [].
Vector autoregression estimates | ||||
---|---|---|---|---|
USD_TRY | TR | USA | MSCI_EMERGING | |
USD_TRY(−1) | 0.708805 | 0.249663 | 0.034715 | 2.442156 |
(0.16209) | (0.45042) | (0.02559) | (3.85036) | |
[4.37278] | [0.55429] | [1.35656] | [0.63427] | |
USD_TRY(−2) | 0.122357 | 0.043897 | −0.025023 | 1.655415 |
(0.16238) | (0.45120) | (0.02564) | (3.85707) | |
[0.75354] | [0.09729] | [−0.97614] | [0.42919] | |
TR(−1) | −0.004405 | 0.903572 | −0.009074 | −2.033973 |
(0.05723) | (0.15902) | (0.00903) | (1.35938) | |
[−0.07697] | [5.68205] | [−1.00429] | [−1.49625] | |
TR(−2) | −0.064607 | −0.116529 | −0.001492 | 0.684540 |
(0.05883) | (0.16348) | (0.00929) | (1.39745) | |
[−1.09819] | [−0.71282] | [−0.16062] | [0.48985] | |
USA(−1) | 0.329242 | 1.942183 | 0.669188 | −15.31464 |
(1.00376) | (2.78919) | (0.15847) | (23.8431) | |
[0.32801] | [0.69633] | [4.22288] | [−0.64231] | |
USA(−2) | 0.969726 | 0.107627 | 0.224866 | −24.57049 |
(1.01086) | (2.80893) | (0.15959) | (24.0118) | |
[0.95930] | [0.03832] | [1.40904] | [−1.02327] | |
MSCI_EMERGING(−1) | −0.009986 | −0.010206 | 0.000254 | 0.938702 |
(0.00657) | (0.01826) | (0.00104) | (0.15607) | |
[−1.51989] | [−0.55900] | [0.24527] | [6.01475] | |
MSCI_EMERGING(−2) | 0.009639 | 0.019322 | −0.001503 | −0.141877 |
(0.00673) | (0.01869) | (0.00106) | (0.15978) | |
[1.43299] | [1.03376] | [−1.41540] | [−0.88797] | |
C | 0.880645 | 0.680372 | 0.173718 | 23.55633 |
(0.46135) | (1.28196) | (0.07283) | (10.9587) | |
[1.90886] | [0.53073] | [2.38512] | [2.14956] | |
R-squared | 0.945737 | 0.897486 | 0.968769 | 0.962453 |
Adj. R-squared | 0.936693 | 0.880401 | 0.963564 | 0.956195 |
Sum sq. resids | 0.019811 | 0.152969 | 0.000494 | 11.17816 |
S.E. equation | 0.020316 | 0.056452 | 0.003207 | 0.482575 |
F-statistic | 104.5732 | 52.52882 | 186.1174 | 153.7995 |
Log likelihood | 146.1108 | 87.85686 | 251.3305 | −34.45046 |
Akaike AIC | −4.810905 | −2.766907 | −8.502823 | 1.524577 |
Schwarz SC | −4.488318 | −2.444320 | −8.180236 | 1.847164 |
Mean dependent | 2.743363 | 11.41014 | 0.297242 | 37.78491 |
SD dependent | 0.080744 | 0.163236 | 0.016803 | 2.305703 |
VAR estimates result for political stress #5.
Sample: 6/08/2015 8/25/2015.
Included observations: 57.
Standard errors in () & t-statistics in [].
Vector autoregression estimates | ||||
---|---|---|---|---|
USD_TRY | TR | USA | MSCI_EMERGING | |
USD_TRY(−1) | 0.208853 | 0.554838 | −0.258267 | −7.360014 |
(0.21444) | (0.27058) | (0.20349) | (13.1649) | |
[0.97393] | [2.05054] | [−1.26918] | [−0.55906] | |
USD_TRY(−2) | 0.028340 | −0.576283 | 0.151205 | −10.63891 |
(0.26409) | (0.33322) | (0.25060) | (16.2126) | |
[0.10731] | [−1.72944] | [0.60337] | [−0.65621] | |
TR(−1) | −0.847586 | 0.133623 | −0.028234 | −17.66526 |
(0.41552) | (0.52430) | (0.39430) | (25.5093) | |
[−2.03980] | [0.25486] | [−0.07161] | [−0.69250] | |
TR(−2) | −0.471574 | −0.045990 | 0.110749 | −0.187963 |
(0.36342) | (0.45856) | (0.34486) | (22.3107) | |
[−1.29759] | [−0.10029] | [0.32114] | [−0.00842] | |
USA(−1) | −2.406126 | −0.632717 | 1.249959 | −80.84426 |
(1.16439) | (1.46920) | (1.10491) | (71.4826) | |
[−2.06643] | [−0.43065] | [1.13127] | [−1.13096] | |
USA(−2) | 3.931361 | 0.807797 | −0.060307 | 66.93084 |
(1.29648) | (1.63587) | (1.23026) | (79.5917) | |
[3.03234] | [0.49380] | [−0.04902] | [0.84093] | |
MSCI_EMERGING(−1) | 0.010020 | −0.008902 | 0.004755 | −0.659546 |
(0.01389) | (0.01753) | (0.01318) | (0.85275) | |
[0.72132] | [−0.50792] | [0.36075] | [−0.77344] | |
MSCI_EMERGING(−2) | 0.035343 | −0.011427 | 0.000584 | 0.064169 |
(0.01135) | (0.01432) | (0.01077) | (0.69677) | |
[3.11402] | [−0.79790] | [0.05422] | [0.09210] | |
C | 15.00712 | 11.04252 | −0.880388 | 315.4749 |
(5.87354) | (7.41108) | (5.57353) | (360.580) | |
[2.55504] | [1.49000] | [−0.15796] | [0.87491] | |
R-squared | 0.976238 | 0.940271 | 0.993659 | 0.937157 |
Adj. R-squared | 0.881190 | 0.701355 | 0.968296 | 0.685786 |
Sum sq. resids | 6.20E−05 | 9.86E−05 | 5.58E−05 | 0.233487 |
S.E. equation | 0.005566 | 0.007023 | 0.005281 | 0.341677 |
F-statistic | 10.27098 | 3.935577 | 39.17780 | 3.728184 |
Log likelihood | 50.87040 | 48.31268 | 51.44711 | 5.580570 |
Akaike AIC | −7.612800 | −7.147761 | −7.717657 | 0.621715 |
Schwarz SC | −7.287250 | −6.822210 | −7.392107 | 0.947265 |
Mean dependent | 2.900682 | 11.35010 | 0.435164 | 34.01700 |
SD dependent | 0.016147 | 0.012850 | 0.029661 | 0.609542 |
VAR estimates result for political stress #6.
Sample: 11/24/2015–12/08/2015.
Included observations: 11.
Standard errors in () & t-statistics in [].
Vector autoregression estimates | ||||
---|---|---|---|---|
USD_TRY | TR | USA | MSCI_EMERGING | |
USD_TRY(−1) | −0.037991 | 1.379474 | 0.026738 | 1.548057 |
(0.15992) | (0.37246) | (0.03780) | (1.29406) | |
[−0.23756] | [3.70373] | [0.70742] | [1.19628] | |
USD_TRY(−2) | 0.664323 | 0.991110 | −0.007986 | −2.964535 |
(0.21112) | (0.49171) | (0.04990) | (1.70841) | |
[3.14659] | [2.01564] | [−0.16005] | [−1.73526] | |
TR(−1) | −0.162109 | 0.281267 | 0.021652 | 1.083173 |
(0.09284) | (0.21622) | (0.02194) | (0.75124) | |
[−1.74614] | [1.30083] | [0.98678] | [1.44184] | |
TR(−2) | −0.048103 | 0.104220 | −0.013276 | −0.898872 |
(0.07228) | (0.16834) | (0.01708) | (0.58489) | |
[−0.66551] | [0.61910] | [−0.77712] | [−1.53684] | |
USA(−1) | 2.328077 | −12.13171 | 1.062720 | 14.50641 |
(1.90754) | (4.44268) | (0.45085) | (15.4357) | |
[1.22046] | [−2.73072] | [2.35717] | [0.93980] | |
USA(−2) | −2.262053 | 13.16730 | 0.004139 | −7.328605 |
(1.82020) | (4.23925) | (0.43020) | (14.7289) | |
[−1.24275] | [3.10604] | [0.00962] | [−0.49757] | |
MSCI_EMERGING(−1) | −0.116796 | 0.068353 | −0.010143 | −0.187650 |
(0.04461) | (0.10390) | (0.01054) | (0.36098) | |
[−2.61818] | [0.65790] | [−0.96199] | [−0.51984] | |
MSCI_EMERGING(−2) | 0.023493 | −0.263795 | −0.004722 | −0.082381 |
(0.03527) | (0.08215) | (0.00834) | (0.28544) | |
[0.66601] | [−3.21096] | [−0.56636] | [−0.28861] | |
C | 6.501998 | 5.274677 | 0.351928 | 42.78517 |
(2.04631) | (4.76587) | (0.48364) | (16.5586) | |
[3.17743] | [1.10676] | [0.72766] | [2.58386] | |
R-squared | 0.855084 | 0.959389 | 0.991451 | 0.725483 |
Adj. R-squared | 0.661862 | 0.905240 | 0.980052 | 0.359461 |
Sum sq. resids | 0.002215 | 0.012015 | 0.000124 | 0.145044 |
S.E. equation | 0.019214 | 0.044750 | 0.004541 | 0.155480 |
F-statistic | 4.425407 | 17.71779 | 86.97880 | 1.982072 |
Log likelihood | 44.86974 | 32.18810 | 66.50640 | 13.50670 |
Akaike AIC | −4.782632 | −3.091747 | −7.667519 | −0.600893 |
Schwarz SC | −4.357802 | −2.666916 | −7.242689 | −0.176063 |
Mean dependent | 3.025113 | 9.883607 | 0.729647 | 35.91900 |
SD dependent | 0.033043 | 0.145372 | 0.032153 | 0.194268 |
VAR estimates result for political stress #7.
Sample: 7/15/2016–8/04/2016.
Included observations: 15.
Standard errors in () & t-statistics in [].
Vector autoregression estimates | ||||
---|---|---|---|---|
USD_TRY | TR | USA | MSCI_EMERGING | |
USD_TRY(−1) | 1.112781 | −0.296064 | −0.009584 | −0.251992 |
(0.14951) | (0.30256) | (0.00484) | (0.38034) | |
[7.44288] | [−0.97852] | [−1.97877] | [−0.66254] | |
USD_TRY(−2) | −0.203608 | 0.660003 | 0.004431 | −0.652522 |
(0.14567) | (0.29479) | (0.00472) | (0.37057) | |
[−1.39776] | [2.23891] | [0.93908] | [−1.76088] | |
TR(−1) | 0.129738 | 1.050609 | 0.000190 | −0.234949 |
(0.06417) | (0.12986) | (0.00208) | (0.16324) | |
[2.02184] | [8.09048] | [0.09140] | [−1.43930] | |
TR(−2) | −0.100454 | −0.143475 | 0.002212 | 0.448261 |
(0.06676) | (0.13511) | (0.00216) | (0.16984) | |
[−1.50463] | [−1.06192] | [1.02261] | [2.63932] | |
USA(−1) | −3.823444 | −4.286335 | 0.804341 | −9.608025 |
(4.55697) | (9.22198) | (0.14762) | (11.5926) | |
[−0.83903] | [−0.46480] | [5.44863] | [−0.82881] | |
USA(−2) | 1.561428 | 12.25069 | 0.093564 | −4.784711 |
(4.43729) | (8.97979) | (0.14375) | (11.2881) | |
[0.35189] | [1.36425] | [0.65090] | [−0.42387] | |
MSCI_EMERGING(−1) | 0.085443 | 0.064802 | −0.000532 | 0.614351 |
(0.05032) | (0.10183) | (0.00163) | (0.12800) | |
[1.49812] | [0.63640] | [−0.32661] | [4.79958] | |
MSCI_EMERGING(−2) | −0.021460 | −0.075181 | 0.001042 | 0.162597 |
(0.05144) | (0.10409) | (0.00167) | (0.13085) | |
[−0.41721] | [−0.72225] | [0.62550] | [1.24262] | |
C | 2.387621 | −18.00681 | 0.193460 | 43.62729 |
(4.73605) | (9.58438) | (0.15342) | (12.0481) | |
[0.50414] | [−1.87877] | [1.26095] | [3.62108] | |
R-squared | 0.954022 | 0.986646 | 0.949950 | 0.831893 |
Adj. R-squared | 0.947681 | 0.984804 | 0.943046 | 0.808706 |
Sum sq. resids | 1.615137 | 6.614623 | 0.001695 | 10.45240 |
S.E. equation | 0.166875 | 0.337706 | 0.005406 | 0.424516 |
F-statistic | 150.4354 | 535.6535 | 137.6044 | 35.87724 |
Log likelihood | 29.72776 | −17.50265 | 259.5212 | −32.83053 |
Akaike AIC | −0.618739 | 0.791124 | −7.478245 | 1.248673 |
Schwarz SC | −0.322587 | 1.087277 | −7.182093 | 1.544825 |
Mean dependent | 5.668028 | 22.54157 | 2.338678 | 43.14940 |
SD dependent | 0.729557 | 2.739510 | 0.022652 | 0.970606 |
VAR estimates result for political stress #8.
Sample: 7/02/2018–10/02/2018.
Included observations: 67.
Standard errors in () & t-statistics in [].
Comprehensively, much of the real industrial processes make use of several input variables (factors) at levels often unpredictable due to the instability displayed during operation in transient regime. The actual processes are very difficult to control, especially when it comes to numerous responses to be controlled.
Figure 1 shows in an illustrative way a real process where other factors that could directly influence the responses and interactions, called noise, were not considered. These noises can be related from the events of the environment where the process occurs, such as variations in the temperature of the medium, or events related to errors occurred by the operators. The use of complete second-order models to model processes should be restricted to only a certain interval specified by the levels presented for each of the factors analyzed. In the context of environmental processes, such as effluent decontamination in a treatment plant, the waste disposal parameters are defined according to country-specific standards and must be strictly followed. By using the effluent treatment plant as an example, it is practically impossible to maintain the constant input parameters such as the incoming organic load, heavy metals, and turbidity, among others. In order to keep the process running at steady state, with possible variations of input, it is necessary that the levels of the controllable factors be adequate in order to keep the responses at the exit within the pre-established parameters. This adjustment of levels can be achieved through sensors connected to programmable logic controllers, which usually operate through a set point.
General process diagram.
These types of equipment are microprocessor computers that perform the function of control through specific software. One of the major problems encountered in using this device can be attributed to numerous, generally correlated, input conditions that may occur throughout the operation. Even with controller performance due to the set point, it no longer considers the possibility of interactions between these input parameters, which may compromise the permanence of the steady state. When the noise source is not discovered for later quantification, instability in the process can lead to desired responses outside of the predefined standards, leading to losses, associated cost, and environmental damage. Therefore, the controllers currently applicable cannot consider this instability generated by the noise industrially.
In the environmental area, due to the large number of parameters that must be monitored and pre-established as waste disposal control standards in receiving bodies, it is very common to maintain a certain operation for numerous responses. Thus, it is fundamental that the process can be previously known, modeled, and later optimized through algorithms already fomented by the literature, allowing the implementation of robust multiobjective optimization from the polynomial that describes all the responses, factors, and levels of the process in detail.
The concept of multiobjective robust optimization can be described as the set of nonlinear constrained programming (NLP) methods and algorithms that are intended to simultaneously optimize the mean and variance of multiple process characteristics that are in a way correlated output quantities that are reasonably well modeled by complete quadratic models. However, in effluent treatment processes that have multiple output characteristics are generally correlated.
Any process can be defined through a quadratic polynomial, if it is properly constrained within certain predefined intervals. The original concept of “robust” process was introduced by Genichi Taguchi in 1980 [1]. To this concept we can associate the original idea of RPD (robust parameter design), applied to generic processes. The more “robust” the details of the process are known, the more accurately it can be modeled and optimized. Therefore, there are several situations in which the multiple means of responses must be optimized and the multiple variances associated with each of the responses individually, minimized. This routine can be performed in order to reduce the interference attributed to the noise and to maintain a more stable process. As already mentioned, independently of the innumerable responses to be analyzed to a process, they are easily analyzed individually, even knowing the existence of a high associated positive correlation. Thus, when the responses have a very high correlation, mainly positive, very common in processes that involve chemical reactions, it becomes impracticable to perform the modeling of the multiple objective functions in an independent way, leading to the wrong responses.
In multiobjective optimization problems, the assignment of convex combinations of weights to the multiple responses leads to the agglutination of the objective functions that represent each response through weighted sums, thus generating a Pareto border or surface. Pareto border or surface is therefore a set of optimal values for multiple features obtained from a list of viable optimal points, obviously within a region of viable space. This agglutination of functions can be performed according to some methods: weighted sum and global criterion method (GCM). Both allow the construction of the Pareto border with some constraints attributed to the convexity of the objective function presented in the region of the viable space where the boundary is constructed. When there is a non-convex region in a certain objective function to be analyzed, the Pareto boundary cannot detect optimal points in this region.
Analyzing Figure 2, it is possible to verify a Pareto frontier for two responses, where each of the points represents different operating conditions. However, there is a discontinuity indicating no convex region of both functions representing the responses. One way to solve this problem is to use the algorithm Normal Boundary Intersection (NBI) to construct the Pareto frontier. This algorithm is able to determine points along the boundary, even in non-convex regions of space. The NBI algorithm considers two fixed points of the frontier (“best of the best and worst of the worst”) known as utopia and nadir respectively. Between these fixed points, all others that make up the border are distributed.
Pareto frontier showing discontinuity.
One of the great possibilities in using this algorithm as a transfer function in control processes is precisely the possibility of choosing a number of different process setups, which consequently lead to optimized responses between the utopia and nadir points, which may be the limits of specification of the particular disposal parameter in an effluent treatment plant, for example. The polynomial (Figure 3), which represents the Pareto frontier, can be used as a transfer function in scaling of a possible dynamic process controller for multiobjectives.
Pareto border for bi-objective problem.
In order to facilitate the understanding of the possibility of implementing the NBI algorithm in controllers, let us take, for example, an industrial effluent treatment plant, which operates with a certain constant flow, due to the residence time necessary for part of the organic load to be degraded via bacteria and protozoa in an aerobic process. As a base of the input variables, we will work with initial organic load in terms of biochemical oxygen demand (BOD) and pH. As controllable factors, we will use the air or oxygen flow (aeration) and residence time. As desired responses, we will use as an illustration the removal of the organic load in terms of biochemical oxygen demand (BOD) and chemical oxygen demand (COD).
Modeling a typical problem processes, we could write that both responses have a direct relationship with the two factors presented as X1 and X2. However, keeping the process steady relative to the inputs becomes virtually impossible. By establishing, the two responses used, as an illustration of the application of the method, is it feasible to predict the aeration rate and residence time required. Certainly, the answer would be positive, if the entries were kept constant. However, if this standardization is not possible, how can we keep the responses within desirable patterns? Imagine in a situation of actual biological treatment process, where some changes can lead to periodic changes in the conditions of entry. For example, an increase in the rainfall rate may lead to the dilution of the organic matter present in the tributary and consequently the decrease of the initial BOD. The decrease of the initial BOD requires a lower concentration of dissolved oxygen so that bacteria and protozoa can decompose the organic matter in order to meet the exit standards, which would lead to the conclusion of shorter residence times required. There is a relationship as presented that can be considered a certainty. However, what is the relationship between them? What would be the best condition, to decrease aeration or increase residence time? These responses can only be met if we have this problem modeled. When working with models, we can easily predict the relationship of each of the factors to the expected response. This fact helps us reduce process costs and increase effectiveness in the targeted response. Through the use of models created from response surfaces, which have quadratic models, it is easily possible to determine local or global minimum or maximum points.
The response surface methodology (MSR) is a collection of mathematical and statistical techniques that allows modeling, analyzing, and optimizing problems whose response variables are influenced by many variables [2]. As mentioned earlier, there is great difficulty in knowing the behavior of independent and dependent variables in a process. Thus, the response surface allows the real approximation of the process from a quadratic model. The development through a Taylor polynomial, truncated in the quadratic term, takes what we call a second-order response surface:
where β represents the coefficients of the model, k is the number of independent variables considered in the study, and ε is the error term.
The fact of using the response surface in a region close to high curvature of the model, presented according to local or global maxima or minima, according to convexity, does not effectively determine the best points or operation setups. However, what can be verified is a region of space that, depending on the levels of each of the independent variables, leads to better responses.
From the color gradient shown in Figure 4, it is possible to verify regions, delimited through the Cartesian axes representing the levels of each of the factors studied, leading to better responses. Thus, the construction of models through the surface response method becomes paramount for the application of later optimization algorithms. Among several optimization algorithms, the Normal Boundary Intersection (NBI) [3] has been used in several researches, in several different fields.
Counter graphic.
The NBI algorithm is developed in terms of an array that we call the payoff matrix
Each line of
This vector is called utopia point. In the same way, by grouping the maximum (nonoptimal) values of each objective function, we have
This vector is called nadir points.
Using these two sets of extreme points, the normalization of the objective functions can be obtained as
This normalization therefore leads to the normalization of the payoff matrix,
Figure 5 illustrates the main elements associated with multiobjective optimization. The anchor points represent the individual solutions of two functions. Points a and b are calculated from the stepped payoff matrix,
Normal to intersect method (NBI).
The point of intersection of this normal with the boundary of the viable region that is closest to the origin will correspond to the maximization of the distance between the utopia line and the Pareto border. Thus, the NBI method can be written as a constrained nonlinear programming problem such that
For the process described as an example, there are two controllable factors represented by the aeration rate (x1) and residence time (x2). However, according to Figure 6, there are also two input variables that cannot be measured, mainly due to the instability of a biological treatment plant, according to initial organic charge z1 and pH z2. The first artifice presented will be the transformation of each of these variables into known values, from experiments carried out on a smaller scale.
General scheme of the process.
Thus, we will have the following factors: aeration rate (x1), residence time (x2), initial organic load (x3), and pH (x4). From a surface of response called central composite design (CCD), it is possible to construct a quadratic model, executing 31 experiments in laboratory scale:
Each of the coefficients presented in the two equations, represented by
Modeling and optimization flowchart.
The Pareto frontier constructed from the optimum of both responses can now, from each of the setups assigned to each point, serve as the basis for implementation in controllers.
For each point referring to the specific response condition, a different setup is considered. For the chosen point 1 according to Figure 8, there is a BOD of 33.2 and a COD of 67, and under these conditions, we have the levels of each of the factors:
Pareto frontier with sample choice point.
In the conditions of this chosen point, replacing in (Eqs. (6) and (7)) the response surface, we have two quadratic equations, one referring to Y1 (x) and Y2 (x).
The implementation of the transfer function in the control will be done according to Figure 9.
Proposed arrangement for implementation.
The two responses provided in the example, enter into a multiprocessor system according to pre-established parameters. The multiprocessing system introduces polynomials referring to each different setup that consisted of the Pareto frontier, and for each setup, there are specific values of COD and BOD in mgO2L−1. From these inputs, the factors can be determined in optimized terms, X1 *, X2 *, and X3 *.
An example of implementation for pH 5–9 and BOD values between 200 and 1000 mgL−1 follows the flow sheet (Figure 10).
Flow sheet of implementation algorithm.
As already mentioned, one of the advantages of the method is the correction of the input parameters belonging to the Pareto frontier, consisting of innumerable set points within an optimal solution space.
Although it has not yet been implemented in controllers, the use of algorithms such as NBI can facilitate the operation of this equipment, as well as lower costs of implementation and operation of environmental systems.
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