A self-contained theory is presented for pricing and hedging LIBOR and swap derivatives by arbitrage. Appropriate payoff homogeneity and measurability conditions are identified which guarantee that a given payoff can be attained by a self-financing trading strategy. LIBOR and swap derivatives...

This paper considers the measurement of the equity risk premium in financial markets from a new perspective that picks up on a suggestion from Merton (1980) to use implied volatility of options on a market portfolio as a direct 'ex-ante' estimate for market variance, and hence the risk premium....

Recent research suggests that fractional Brownian motion can be used to model the long-range dependence structure of the stock market. Fractional Brownian motion is not a semi-martingale and arbitrage opportunities do exist, however. Hu and Øksendal [Infin. Dimens. Anal., Quant. Probab. Relat....