Upside and downside correlated jump risk premia of currency options and expected returns

This research explores upside and downside jumps in the dynamic processes of three rates:domestic interest rates,foreign interest rates,and exchange rates.To fill the gap between the asymmetric jump in the currency market and the current models,a correlated asymmetric jump model is proposed to capture the co-movement of the correlated jump risks for the three rates and identify the correlated jump risk premia.The likelihood ratio test results show that the new model performs best in 1-,3-,6-,and 12-month maturities.The in-and out-of-sample test results indicate that the new model can capture more risk factors with relatively small pricing errors.Finally,the risk factors captured by the new model can explain the exchange rate fluctuations for various economic events.

Fast Fourier Transform Approximation of Foreign Currency Option Pricing Based on Exponential Lévy Model

To study the approximation of foreign currency option prices when the underlying assets＇ price dynamics are described by exponential Lévy processes, the convolution representations for option pricing formulas were given, and then the fast Fourier transform （FFT） algorithm was used to get the approximate values of option prices. Finally, a numerical example was given to demonstrate the calculate steps to the option price by FFT.

Valuation and Hedging Strategy of Currency Options under Regime-Switching Jump-Diffusion Model

The main purpose of this thesis is in analyzing and empirically simulating risk minimizing European foreign exchange option pricing and hedging strategy when the spot foreign exchange rate is governed by a Markov-modulated jump-diffusion model. The domestic and foreign money market interest rates, the drift and the volatility of the exchange rate dynamics all depend on a continuous-time hidden Markov chain which can be interpreted as the states of a macro-economy. In this paper, we will provide a practical lognormal diffusion dynamic of the spot foreign exchange rate for market practitioners. We employing the minimal martingale measure to demonstrate a system of coupled partial-differential-integral equations satisfied by the currency option price and attain the corresponding hedging schemes and the residual risk. Numerical simulations of the double exponential jump diffusion regime-switching model are used to illustrate the different effects of the various parameters on currency option prices.

Foreign exchange risk management by Indian IT companies:an empirical analysis

The increased volatility in the foreign exchange market in recent years has increased the foreign exchange risk faced by companies worldwide. This phenomenon holds good in the Indian context also. This paper tries to report on the foreign exchange risk-management practices among Indian IT (information technology) companies. The results are consistent with expectations that foreign exchange risks faced by Indian IT companies is very high especially in the light of the recent appreciation of the rupee against the USD and most of the companies are using all the available techniques to mitigate the risks. The evidence suggests that the forward cover is the most widely used derivative instrument in managing the risks and the respondents taking part in the survey believe that the government is failing in maintaining a stable exchange rate.

A Modified Binomial Tree Method for Currency Lookback Options

The binomial tree method is the most popular numerical approach to pricing options. However,for currency lookback options,this method is not consistent with the corresponding continuous models,which leads to slow speed of convergence.On the basis of the PDE approach,we develop a consistent numerical scheme called the modified binomial tree method.It possesses one order of accuracy and its efficiency is demonstrated by numerical experiments.The convergence proofs are also produced in terms of numerical analysis and the notion of viscosity solution.