The volatility estimation is a crucial problem for pricing derivatives. The traditional implied volatility approach induces the undesired smile effect and is therefore inconsistent with the market reality. A second more realistic approach is due to Bensoussan, Crouhy and Galai (1995) who derive...

We present a time series model that integrates properties from Levy-type and multifractal models. Formally, it is a stochastic volatility model with discrete time steps, t-distributed return innovations and a stochastic cascade for the volatility process. This model reproduces very well...

The Nobel Prize was given to Robert C. Merton and Myron S. Scholes for discovering a new method for determining the value of an option. This is known as the Black-Merton-Scholes option pricing formula. The purpose of this essay is to explain why the Black-Merton-Scholes option pricing formula is...

EU accession requires, inter alia, free movements of capital. If a massive capital outflow occurs, the central banks from the accession or acceding countries may carry two types of intervention: on money market, and introducing restrictions on capital account. The paper explains when is...

Cet article analyse les opportunités d’arbitrage sur le marché des options ODAX dans un cadre intra-journalier. Les tests d’arbitrage se basent sur la borne inférieure de prix et sur la relation de parité put-call. Pour éliminer le biais de synchronisation et tenir compte des frais de...

This paper presents a method for evaluating investments in decentralized renewable power generation under price un certainty. The analysis is applicable for a client with an electricity load and a renewable resource that can be utilized for power generation. The investor has a deferrable...

The Margrabe formula is used extensively by theorists and practitioners not only on exchange options, but also on executive compensation schemes, real options, weather and commodity derivatives, etc. However, the crucial assumption of a bivariate normal distribution is not fully satisfied in...

This chapter analyzes the possibility of manipulation in futures markets, concentrating on the effects that manipulation may have on their informational efficiency . We use the concept of manipulation as it arises in the study of noncooperative games with imperfect information . The problem can...

In this addendum to Carey (2005), we draw several more analogies with the Black-Scholes model. We derive the characteristic function of the underlying log process as a function of the volatilities of all orders. Option prices are shown to satisfy an infinite-order version of the Black-Scholes...

This paper uses currency option data from the BMF, the Commodities and Futures exchange in Sao Paulo, Brazil, to investigate market expectations on the Brazilian Real-U.S. dollar exchange rate from October 1994 through March 1999. Using options data, we derive implied probability density...