This paper proposes a new three-factor model with stochastic mean reversions for commodity prices and derives the closed-form solution for the term structure of futures prices. It also examines the relation of our model with Schwartz(1997) type models that explicitly include interest rates and...

This paper describes an asymptotic expansion approach to numerical problems on valuation of financial assets and securities.

This paper studies portfolio selection and performance analysis of hedge funds whose locations or investment targets are Asian-Pacific region. Utilizing Eurekahedge database, we investigate the characteristics of the funds' returns and optimization methods to create a fund of funds. Moreover, we...

We developed a variance reduction method of Monte Carlo simulations as well as an approximation formula based on an asymptotic expansion approach for pricing bond options and swaptions in HJM framework. As a numerical example we applied the technique to a realistic two-factor model and confirmed...

This paper derives an approximation formula for average options under two stochastic volatility models such as Heston and Lambda-SABR models by using an asymptotic expansion method. Moreover, numerical examples with various parameters some of which are obtained by calibration to WTI futures...

This paper proposes a structural model to price credit risk of firms with short-term and long-term debts. This enables one to distinguish between default probabilities in the short run and in the long run, and to identify how the composition of debts affects credit risk. We endogenize the banks'...