Duru-Kleinert Asymptotic Expansions for Long-Term Foreign Exchange and Swaptions Implied Volatility Smile

2009 ◽  
Author(s):  
Marc Decamps ◽  
Ann De Schepper
2021 ◽  
Author(s):  
Andrew Na

In this work we propose a parametric model using the techniques of time-changed subordination that captures the implied volatility smile. We demonstrate that the Fourier-Cosine method can be used in a semi-static way to hedge for quadratic, VaR and AVaR risk. We also observe that investors looking to hedge VaR can simply hold the amount in a portfolio of mostly cash, whereas an investor hedging AVaR will need to hold more risky assets. We also extend ES risk to a robust framework. A conditional calibration method to calibrate the bivariate model is proposed. For a robust long-term investor who maximizes their recursive utility and learns about the stock returns, as the willingness to substitute over time increases, the equity demand decreases and consumption-wealth ratio increases. As the preference for robustness increases the demand for risk decreases. For a positive correlation, we observe that learning about returns encourages the investor to short the bond at all levels of u and vice versa


2021 ◽  
Author(s):  
Andrew Na

In this work we propose a parametric model using the techniques of time-changed subordination that captures the implied volatility smile. We demonstrate that the Fourier-Cosine method can be used in a semi-static way to hedge for quadratic, VaR and AVaR risk. We also observe that investors looking to hedge VaR can simply hold the amount in a portfolio of mostly cash, whereas an investor hedging AVaR will need to hold more risky assets. We also extend ES risk to a robust framework. A conditional calibration method to calibrate the bivariate model is proposed. For a robust long-term investor who maximizes their recursive utility and learns about the stock returns, as the willingness to substitute over time increases, the equity demand decreases and consumption-wealth ratio increases. As the preference for robustness increases the demand for risk decreases. For a positive correlation, we observe that learning about returns encourages the investor to short the bond at all levels of u and vice versa


Author(s):  
Katina Popova ◽  
◽  
Miroslava Malcheva ◽  

Tourism in Bulgaria is a cross cutting sector of particular importance for unemployment and poverty eradication. As a source of foreign exchange earnings and direct investments it ensures viable medium and long-term economic benefits for both the destination and the local community. In recent years, the sustainable development of tourism on the Bulgarian Black Sea coast is seriously threatened, mainly due to the consequences of mass sea tourism, the short-sighted use of available resources and the territorial concentration of accommodation facilities. The aim of the present study is to establish the achievements of the hospitality business on the Bulgarian Black Sea coast in terms of sustainability and environmentally friendly lifestyle.


Author(s):  
A. Binder ◽  
A. Kononov

The article analyzes the distinctive features of the PRC foreign exchange policy from the historical perspective, taking the national color into account and emphasizing the traditions-modernity unity in its strategy. It reviews the debates over renminbi exchange rate, disclosing the weakness of the modern international foreign exchange law. It systemizes the practices of international pressures applied to China in this aspect. It is stated, that China’s foreign exchange reforming process is of a long-term nature, and it will be completed only by the time the Chinese economy gets adjusted to the world market’s requirements.


2021 ◽  
Vol 9 ◽  
Author(s):  
Abdul Saqib ◽  
Tze-Haw Chan ◽  
Alexey Mikhaylov ◽  
Hooi Hooi Lean

Growing energy demand but stagnant production followed by volatile exchange rate leads Pakistan to energy imbalances and potential economic contraction. Yet, studies on sectoral energy imports are limited and inconclusive without accessing the asymmetric effect of currency fluctuations. We examine the impacts of Pakistani rupee volatility on monthly energy imports based on the nonlinear autoregressive distributed lag (NARDL) estimations. Augmented Dickey–Fuller and Phillips–Perron tests were used to conduct unit root testing, and the bound testing approach was used to examine the long-term cointegration. The long-run asymmetry was tested with the Wald test, and using the NARDL model, we examined both short-run and long-run asymmetric effects of exchange rate volatility on energy imports. The bound test was established and supported through ECMt−1 (t-test), cointegrating the relationship between exchange rate volatility and energy imports in a long term. Among others, both short-run and long-run asymmetric effects were found for crude oil, coal, electricity, and petroleum products. Rupee depreciation increased crude oil and electricity imports, while the appreciation effects were insignificant. Overall, the empirical assessment reveals that the foreign exchange volatility effect is sectoral specific and asymmetric in Pakistan. It offers new insights into re-strategizing the energy policy and refining the import substitution plan.


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