We consider portfolios whose returns depend on at least three variables and show the effect of the correlation structure on the probabilities of the extreme outcomes of the portfolio return, using a multivariate binomial approximation. The portfolio risk is then managed by using derivatives. We...

In this paper, we suggest an efficient method of approximating a general, multivariate lognormal distribution by a multivariate binomial process. There are two features of such multivariate distributions that are of interest. First, the state variables may have volatilities that change over...

The value and hedge ratio of an American-style option are shown to be closely approximated by a simple quadratic formula. The technique requires the estimation of the values and hedge ratios of just two options: a European option and a twice-exercisable option. These can be computed...

In this paper, we derive an equilibrium in which some investors buy call/put options on an asset while others sell them. Also, some investors supply and others demand forward contracts. Since investors are assumed to have similar risk-averse preferences, the demand for these contracts is not...

In general, the risk of a financial instrument on a future valuation date depends on several stochastic variables. In the case of a currency swap, its value on a future date can be modelled as a function of five stochastic variables. These represent the factors that determine the term structure...

The valuation of American-style bond options involves two important aspects that need to be modeled carefully. First, stochastic interest rates influence the volatility of the price of the bond, the underlying asset, in a complex fashion as the bond approaches maturity, and hence, the...

Recent research has shown that default risk accounts for only a part of the total yield spread on risky corporate bonds relative to their risk-less benchmarks. One candidate for the unexplained portion of the spread is a premium for liquidity. We investigate this possibility by relating the...

In this paper, we derive an equilibrium in which some investors buy call/put options on the market portfolio while others sell them. Also, some investors supply and others demand forward contracts. Since investors are assumed to have similar risk-averse preferences, demand for these contracts is...

We build a no-arbitrage model of the term structure, using two stochastic factors on each date, the short-term interest rate and the forward premium. The model is essentially an extension to two factors of the lognormal interest rate model of Black-Karazinski. It allows for mean reversion in the...

In this paper, we drive an equilibrium in which some investors buy call/put options on the market portfolio while others sell them. Also, some investors supply and others demand forward contracts. Since investors are assumed to have similar risk-averse preferences, the demand for these contracts...