We propose a new derivation of the Heath–Jarrow–Morton risk-neutral drift restriction that takes into account nonzero instantaneous correlations between factors. The result allows avoiding the orthogonalization of factors and provides an approach by which interest rate derivatives can be...

Using a finite dimensional Hilbert space framework, this work proposes a new derivation of the HJM [D. Heath, R. Jarrow, A. Morton, Bond pricing and the term structure of interest rates: A New Methodology for Contingent Claims Valuation, Econometrica 60 (1992) 77-105] risk-neutral drift that...

Derivative pricing is especially challenging in novel and illiquid markets, where pricing relies greatly on assumptions and models, rather than on known flow of market prices. In the novel market of shekel bond options, the estimate of implied volatility for different strikes could be based on...

Two methods to derive Hurst exponent from option prices are proposed in this paper. They are based on fractional Brownian market setting. The first method is to use fractional Black-Scholes model inversely to derive implied Hurst exponent. The second one depends on no specific option pricing...

We study a novel implementation of the explicit and the implicit Crank-Nicolson (CN) numerical schemes for solving time-dependent Parabolic Partial Differential Equations (PDEs) in one spatial dimension in a variety of applications in computational finance related with the the One-Factor...

This paper examines the cross-dynamics of volatility term structures implied by foreign exchange options. The data used in the empirical analysis consist of daily observations of implied volatilities for OTC options on the euro, Japanese yen, British pound, Swiss franc, and Canadian dollar,...

This paper provides extensions to existing procedures for representing one-factor no-arbitrage models of the short rate in the form of a tree. It allows a wide range of drift functions for the short rate to be used in conjunction with a wide range of volatility assumptions. It shows that, if the...

Over the last decade, dividends have become a standalone asset class instead of a mere side product of an equity investment. We introduce a framework based on polynomial jump-diffusions to jointly price the term structures of dividends and interest rates. Prices for dividend futures, bonds, and...

In this article, we apply the forward variance modeling approach by L.Bergomi to the co-terminal swap market model. We build an interest rate model for which all the market price changes of hedging instruments, interest rate swaps and European swaptions, are interpreted as the state variable...

In this paper, a detailed proof is provided for the value of compound options based on geometric Brownian motion with maturity varying yields, maturity varying volatility, and maturity varying interest rates. Most research papers focused on compound options do not address yields on the...