This paper examines two numerical methods for pricing of American spread options in the case where both underlying assets follow the jump-diffusion process of Merton (1976). We extend the integral equation representation for the American spread option presented by Broadie and Detemple (1997) to...

The pricing problem of options with an early exercise feature, such as American options, is one of the important topics in mathematical finance. The pricing formulas for American options, however, have not been found in general and the numerical methods are required to derive the price of these...

Option pricing model with non-constant volatility models are compared to stochastic volatility ones. The non-constant volatility models considered are the Dupire's local volatility and Hobson and Rogers path-dependent volatility models. These approaches have the theoretical advantage of...

This paper compares the goodness-of-fit and the stability of six methods used to extract risk-neutral probability density functions from currency option prices. We first compare five existing methods commonly employed to recover risk-neutral density functions from option prices. Specifically, we...

This paper is concerned with the pricing of European continuous-installment options where the aim is to determine the initial premium given the installment payments schedule. The particular feature of this pricing problem is the determination, along with the initial premium, of an optimal...

The 1987 stock market crash, the LTCM debacle, the Asian Crisis, the bursting of the high technology Dot-Com bubble of 2001-2 with 30% losses of equity values, events such as 9/11 and sudden corporate collapses of the magnitude of Enron - have radically changed the view that extreme events have...

We model the joint distribution between the euro-sterling and the dollar-sterling exchange rate using option-implied markginal distributions that are connected via a copula function. We then derive univariate distributions for the simpliefied sterling effective exchange rate index (ERI). Our...

How to extract the asset price dynamics implicit in market prices of stock index options is an important research topic. The main factor in deciding the market price of a stock index option is the expectation of investors on future movement of the stock index level. Therefore, market prices of...

Consider a non-spanned security C_{T} in an incomplete market. We study the risk/return trade-offs generated if this security is sold for an arbitrage-free price Câ‚€ and then hedged. We consider recursive "one-period optimal" self-financing hedging strategies, a simple but tractable...

The fact that expected payoffs on assets and call options are infinite under most log-stable distributions led both Paul Samuelson (as quoted by Smith 1976) and Robert Merton (1976) to conjecture that assets and derivatives could not be reasonably priced under these distributions, despite their...