Study on the HMM of Nonlinear Nominal Exchange Rates

2011 ◽  
Vol 268-270 ◽  
pp. 1823-1827
Author(s):  
Shuo Zhang ◽  
Xiao Feng Hui

The exchange rate model for the study of the exchange rate theory has very important significance. After analyzing the successful nonlinear model of real exchange rate based on the purchasing power parity (PPP) theory, the nonlinear problem of nominal exchange rate is studied in this paper. Through a research on a period of nominal exchange rate with nonlinear characteristics, a nonlinear statistical model of nominal exchange rate based on the hidden Markov model (HMM) is proposed, and the parameters of the model are estimated. Hypothesis testing shows that the model can accurately describe the statistical characteristics of the nominal exchange rate time series. The parameters showed that the nominal exchange rate model proposed in this paper, to some extent, supports that deviations from purchasing power parity (PPP) are nonlinear mean reversions.

Complexity ◽  
2021 ◽  
Vol 2021 ◽  
pp. 1-7
Author(s):  
Kashif Ali ◽  
Hafsa Hina ◽  
Muhammad Ijaz ◽  
Mahmoud El-Morshedy

The current study explores nonlinear cointegration as well as asymmetric adjustment to investigate the long-run purchasing power parity in three major trading partners of Pakistan. The ESTAR and LSTAR models were used to investigate the behavior of the nominal exchange rates. The findings declared that series follows the nonlinear exchange rate. The asymmetric behavior of the exchange rate allows the threshold cointegration model to be implemented. In the case of Pakistan-China, the result suggests that long-run PPP holds. As a result, trading will be more profitable if the exchange rate is varied in relation to major trading partners rather than just the US dollar.


2008 ◽  
Vol 13 (1) ◽  
Author(s):  
Muhammad Arshad Khan ◽  
Abdul Qayyum Abdul Qayyum

The main focus of this paper is to measure the speed of adjustment of the exchange rate by means of the persistent profile approach developed by Pesaran and Shin (1996) to examine the symmetry and proportionality assumptions of the purchasing power parity (PPP) theory of exchange rates for the Pak-rupee vis-à-vis the US-dollar exchange rate over the period 1982Q2-2005Q4. Using cointegration and vector error-correction modeling approaches, we find considerable support for the validity of weak-form PPP in Pakistan. Furthermore, the symmetry and proportionality assumptions of PPP are not verified. In the short-run, the exchange rate and foreign prices play a significant role in the convergence process to achieve long-run equilibrium. However, the speed of adjustment is very slow and the persistence profiles suggest that almost 4-5 years are required to eliminate deviations and bring the nominal exchange rate in line with the long-run equilibrium path.


2016 ◽  
Vol 12 (3) ◽  
pp. 135-144
Author(s):  
John F. Boschen

In 2011 the ongoing appreciation in the yen against the US$ led Japanese firm Shiomi to consider relocating its production facilities outside of Japan. As a prelude to making this decision, Shiomi commissioned an evaluation of the historical impact of the yen’s appreciation on Japanese competitiveness. This evaluation is the basis for two important lessons in international financial management.  First, it is the real exchange rate, rather than the nominal exchange rate, that determines the relative cost competitiveness of countries. Second, in accordance with the rules of purchasing power parity, the historical evaluation showed that higher inflation in the U.S. relative to Japan caused the ratio of Japanese to U.S. prices to fall at roughly the same rate as the yen’s appreciation against the US$. Thus the long-term appreciation in the yen had little impact on Japanese competitiveness. Students are asked to assess the relocation decision in light of the post-case data on exchange rates and consumer prices supplied in the case. The case is appropriate for use in an international financial management or international economics course.


Author(s):  
Menzie D. Chinn

The idea that prices and exchange rates adjust so as to equalize the common-currency price of identical bundles of goods—purchasing power parity (PPP)—is a topic of central importance in international finance. If PPP holds continuously, then nominal exchange rate changes do not influence trade flows. If PPP does not hold in the short run, but does in the long run, then monetary factors can affect the real exchange rate only temporarily. Substantial evidence has accumulated—with the advent of new statistical tests, alternative data sets, and longer spans of data—that purchasing power parity does not typically hold in the short run. One reason why PPP doesn’t hold in the short run might be due to sticky prices, in combination with other factors, such as trade barriers. The evidence is mixed for the longer run. Variations in the real exchange rate in the longer run can also be driven by shocks to demand, arising from changes in government spending, the terms of trade, as well as wealth and debt stocks. At time horizon of decades, trend movements in the real exchange rate—that is, systematically trending deviations in PPP—could be due to the presence of nontraded goods, combined with real factors such as differentials in productivity growth. The well-known positive association between the price level and income levels—also known as the “Penn Effect”—is consistent with this channel. Whether PPP holds then depends on the time period, the time horizon, and the currencies examined.


Author(s):  
Tongam Sihol Nababan

The aim of this study is to identify : (1) profile of exchange rate and purchasing power parity of IDR against US $ based on Big Mac Index compared to the exchange rate of other countries, and (2) the position of the Big Mac Affordability of  Indonesia compared to other ASEAN countries. The results showed that based on Big Mac index during the period April 1998 up to January 2015, IDR exchange rate tends to be undervalued against the USA dollar. The cause of the currency tends to be in a position of undervalued due to the components of non-tradable have not been included in Big Mac index. The index of Big Mac Affordability indicates that there is a great disparity of income between Singapore and five other ASEAN countries. The purchasing power of the real income of the people in Singapore is nearly five times the real income of the people in Indonesia.


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