This paper suggests incorporating investor probability weighting and the default risk of individual firms into a consumption-based asset pricing model. The extended model provides a unified solution for several anomalous patterns observed on financial markets. The analysis addresses not only...

This paper proposes a new dynamically consistent framework for joint valuation of equity derivatives and credit products, in which uncertainness of the economy is represented by Levy processes. In the framework, the pre-default stock price of a given firm follows an extended exponential Levy...

This paper proposes a pricing method for path-dependent derivatives with discrete monitoring when an underlying asset price is driven by a time-changed Levy process. The key to our method is to derive a backward recurrence relation for computing the multivariate characteristic functions of the...

This paper presents an approximate formula for pricing average options when the underlying asset price is driven by time-changed Levy processes. Time-changed Levy processes are attractive to use for a driving factor of underlying prices because the processes provide a flexible framework for...

This paper proposes a new hedging scheme of European derivatives under uncertain volatility environments, in which a weighted variance swap called the polynomial variance swap is added to the Black-Scholes delta hedging for managing exposure to volatility risk. In general, under these...

In this paper we investigate the question of how many coalitions of a given relative size would block a non-Warlasian allocation in large finite economies. It is shown that in finite economies, if a Pareto optimal allocation is bounded away from being Walrasian, then, for any two numbers...

This paper proposes a dynamic equilibrium model that can provide a unified explanation for the stylized facts observed in stock index markets such as the fat tails of risk-neutral return distribution relative to physical distribution, negative expected returns on deep OTM call options, and...