At the time of writing this article, Fourier inversion is the computational method of choice for a fast and accurate calculation of plain vanilla option prices in models with an analytically available characteristic function. Shifting the contour of integration along the complex plane allows for...

A new methodology is proposed to estimate theoretical prices of financial contingent-claims whose values are dependent on some other underlying financial assets. In the literature the preferred choice of estimator is usually maximum likelihood (ML). ML has strong asymptotic justification but is...

I was born in Timmins, Ontario, Canada on July 1, 1941. My father had ventured to Timmins, a relatively prosperous gold-mining region, to practice dentistry during the depression. My mother and her uncle established a chain of small department stores in and around Timmins. The death of her uncle...

Interview with Myron S. Scholes at the 3rd Meeting in Economic Sciences in Lindau, Germany, 22 August, 2008. The interviewer is Adam Smith, Editor-in-Chief of Nobelprize.org.

I was born in New York, New York, on July 31, 1944, the middle child between two sisters, Stephanie and Vanessa. I grew up in Hastings-on-Hudson, a village of about 8000 outside the city, in a house that Vanessa and her family live in today. My father, born in Philadelphia the son of immigrant...

Interview with Professor Robert C. Merton at the 1st Meeting of Laureates in Economic Sciences in Lindau, Germany, September 1-4, 2004. Interviewer is freelance journalist Marika Griehsel.

Prize Lecture to the memory of Alfred Nobel, December 9, 1997

Nobel Lecture to the memory of Alfred Nobel, December 9, 1997.

The characteristic functions of many affine jump-diffusion models, such as Heston’s stochastic volatility model and all of its extensions, involve multivalued functions such as the complex logarithm. If we restrict the logarithm to its principal branch, as is done in most software packages,...

In continuous time specifications, the prices of interest rate derivative securities depend crucially on the mean reversion parameter of the associated interest rate diffusion equation. This parameter is well known to be subject to estimation bias when standard methods like maximum likelihood...