In this paper, an alternative approach to pricing barrier options is presented that relies on the use of the first hitting time density to the barrier. The lateral Chapman-Kolmogorov relation is used as a major tool in order to determine option prices. It turns out that this approach allows for...

This study contributes to the valuation of employee stock options (ESO) in two ways: First, a new pricing model is presented, admitting a major part of calculations to be solved in closed form. Designed with a focus on good replication of empirics, the model fits with publicly observable...

In the past decades several versions of the binomial model for option pricing, originallyintroduced by COX, ROSS, AND RUBINSTEIN, have been discussed in the financeliterature. Some of these approaches model an arbitrage-free market in the discrete setupwhereas others attain this property only in...

We present a closed form solution to the perpetual American double barrier call option problem in a model driven by a Brownian motion and a compound Poissonprocess with exponential jumps. The method of proof is based on reducing the initialirregular optimal stopping problem to an...

We develop a novel pricing strategy that approximates the value of an American option with exotic features through a portfolio of European options with different maturities. Among our findings, we show that: (i) our model is numerically robust in pricing plain vanilla American options; (ii) the...

This paper presents new closed form solutions for the valuation of European put options and of "down-an-in" barrier options written on leveraged equity. Unlike in past literature (Toft and Prucyk, 1997) and in keeping with empirical evidence, the model allows equity to retain value even after...

We provide methodologies to price discretely monitored exotic options when the underlying evolves according to a double exponential jump diffusion process. We show that discrete barrier or lookback options can be approximately priced by their continuous counterparts’ pricing formulae with a...

The paper is motivated by the valuation problem of guaranteed minimum death benefits in various equity-linked products. At the time of death, a benefit payment is due. It may depend not only on the price of a stock or stock fund at that time, but also on prior prices. The problem is to calculate...

In this paper we comment on the paper "Pricing Double Barrier Options using Laplace Transforms" by Antoon Pelsser. We illustrate that the same solutions of double barrier option values in terms of Fourier sine series can be obtained by using both Laplace transform and the method of separation of...

This paper develops methods for relating the prices of discrete- and continuous-time versions of path-dependent options sensitive to extremal values of the underlying asset, including lookback, barrier, and hindsight options. The relationships take the form of correction terms that can be...