In this paper, we define the "inflation forward rates" based on arbitrage arguments and develop a dynamic model for the term structure of forward inflation rates. This new model can serve as a framework for specific no-arbitrage models, including the popular practitioners' market model and all...

In this paper, we establish a market model for the term structure of forward inflation rates based on the risk-neutral dynamics of nominal and real zero-coupon bonds. Under the market model, we can price inflation caplets as well as inflation swaptions with a formula similar to the Black's...

In this paper we study a LIBOR market model with a volatility multiplier, which follows a square-root process. This model captures downward volatility skews through using negative correlations between forward rates and the multiplier. Approximate pricing formula is developed for swaptions, and...

In existing pricing theories, pricing of single-name credit default swaps and their options makes no reference of the market of defaultable bonds. This situation can cause price inefficiency and even generate arbitrage opportunities across the markets. In this paper, we introduce a new theory...

In an incomplete market, option prices depend on investors' utility functions. In this paper, we establish the connection between risk preference and optimal hedging strategy, and price options according to the principle of utility indifference. Taking the exponential utility function, we...

In this chapter, we define the “inflation forward rates” based on arbitrage arguments and develop a dynamic model for the term structure of inflation forward rates. This new model can serve as a framework for specific no-arbitrage models, including the popular practitioners’ market model...

We provide an alternative method for analysis of multifractal properties of time series. The new approach takes into account the behaviour of the whole multifractal profile of the generalized Hurst exponent $h(q)$ for all moment orders $q$, not limited only to the edge values of $h(q)$...

We construct explicitly a bridge process whose distribution, in its own filtration, is the same as the difference of two independent Poisson processes with the same intensity and its time 1 value satisfies a specific constraint. This construction allows us to show the existence of...