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The basic model of financial economics is the Samuelson model of geometric Brownian motion because of the celebrated Black-Scholes formula for pricing the call option. The asset's volatility is a linear function of the asset value and the model garantees positive asset prices. In this paper it...
Persistent link: https://www.econbiz.de/10011539634
currency options are employed to recover the impact of interventions on the variability of exchange rates. A contingent claims … valuation framework allowing to highlight the implications of infrequent interventions for the valuation of options on foreign …
Persistent link: https://www.econbiz.de/10011476547
Persistent link: https://www.econbiz.de/10012630769
Persistent link: https://www.econbiz.de/10003633711
The paper examines three equity-based structural models to study the nonlinear relationship between equity and credit default swap (CDS) prices. These models differ in the specification of the default barrier. With cross-firm CDS premia and equity information, we are able to estimate and compare...
Persistent link: https://www.econbiz.de/10003641322
Market option prices in last 20 years confirmed deviations from the Black and Scholes (BS) models assumptions, especially on the BS implied volatility. Implied binomial trees (IBT) models capture the variations of the implied volatility known as "volatility smile". They provide a discrete...
Persistent link: https://www.econbiz.de/10003727608
We will investigate valuation of derivatives with payoff defined as a nonlinear though close to linear function of tradable underlying assets. Derivatives involving Libor or swap rates in arrears, i.e. rates paid in a wrong time, are a typical example. It is generally tempting to replace the...
Persistent link: https://www.econbiz.de/10003755156
generalize their results to European power options. We derive Black-Scholes-Merton-like valuation formulas for European power put … options using Mellin transforms. Thereafter, we restrict our attention to plain vanilla options on dividend-paying stocks and … derive the integral equations to determine the free boundary and the price of American put options using Mellin transforms …
Persistent link: https://www.econbiz.de/10003839565
We extend a framework based on Mellin transforms and show how to modify the approach to value American call options on … boundary using modi ed Mellin transforms. We also show how to derive the pricing formula for perpetual American call options …
Persistent link: https://www.econbiz.de/10003839567
We introduce the Homoscedastic Gamma [HG] model where the distribution of returns is characterized by its mean, variance and an independent skewness parameter under both measures. The model predicts that the spread between historical and risk-neutral volatilities is a function of the risk...
Persistent link: https://www.econbiz.de/10003852916