In this paper, we present a novel method to extract the risk-neutral probability of default from American put option prices. Under the assumptions of Carr and Wu (2011), we derive a closed form expression for American put options from which the probability of default can be inferred. Our...

In this paper, we present a novel method to extract the risk-neutral probability of default of a from from American put option prices. Building on the idea of a default corridor proposed in Carr and Wu (2011), we derive a parsimonious closed-form formula for American put option price from which...

Based on the result of Orosi (2014), we derive an improved lower bound for European-style put options written on defaultable assets. Furthermore, we establish two additional no-arbitrage conditions, one for European-style puts and one for calls, which are tighter than the ones commonly reported...

There is a close link between prices of equity options and the probability of default of a firm. We show that in the presence of positive expected equity recovery, the standard methods that assume zero equity recovery at default misestimate the probability of default implicit in option prices....

In this paper, we present a novel method to extract the risk-neutral probability of default of a firm from American put option prices. Building on the idea of a default corridor proposed in Carr and Wu (2011), we derive a parsimonious closed-form formula for American put option prices from which...

Risk neutral densities recovered from option prices can be used to infer market participants expectations of future stock returns and are a vital tool for pricing illiquid exotic options. Although there is a broad literature on the subject, most studies do not address the likelihood of default....

In this work, we suggest a novel quadratic programming-based algorithm to generate an arbitrage-free call option surface. Our approach relies on a regression spline-based implementation of the framework proposed by Orosi (2011) who presents a multi-parameter extension of the models of Figlewski...

In this paper, we derive closed-form, interpolation-based expressions for European call options written on defaultable assets. Our results are based on the work of Henderson at al. (2007), who derive formulas that incorporate standard static no-arbitrage restrictions, and Orosi (2014) who...

In this study, we investigate how useful the information content of out-of-the-money S&P 500 index call options is to predict the size and direction of the underlying index for the period 2004-2013. First, we demonstrate that behavior of the right tail of the option implied risk-neutral...

The traditional derivation of risk-neutral probability in the binomial option pricing framework used in introductory mathematical finance courses is straightforward, but employs several different concepts and is is not algebraically simple. In order to overcome this drawback of the standard...