In a default corridor [0; B] that the stock price can never enter, a deep out-of-the-money American put option replicates a pure credit contract (Carr and Wu, 2011). Assuming discrete (one-period-ahead predictable) cash áows, we show that an endogenous credit-risk model generates, along with the...

In a standard option-pricing model, with continuous-trading and diffusion processes, this paper shows that the price of one European-style option can be factorized into two intuitive components: One robust, X0, which is priced by arbitrage, and a second, [Pi]0, which depends on a risk orthogonal...

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...

This paper presents a detailed analysis of the numerical implementation of the American put option decomposition into an equivalent European option plus an early exercise premium (Kim 1990, Jacka 1991, Carr et al. 1992). It subsequently introduces a new algorithm based upon this decomposition...