Adding and subtracting Black-Scholes: A new approach to approximating derivative prices in continuous-time models

A-Tier
Journal: Journal of Financial Economics
Year: 2011
Volume: 102
Issue: 2
Pages: 390-415

Score contribution per author:

2.011 = (α=2.01 / 2 authors) × 2.0x A-tier

α: calibrated so average coauthorship-adjusted count equals average raw count

Abstract

We develop a new approach to approximating asset prices in the context of continuous-time models. For any pricing model that lacks a closed-form solution, we provide a closed-form approximate solution, which relies on the expansion of the intractable model around an “auxiliary” one. We derive an expression for the difference between the true (but unknown) price and the auxiliary one, which we approximate in closed-form, and use to create increasingly improved refinements to the initial mispricing induced by the auxiliary model. The approach is intuitive, simple to implement, and leads to fast and extremely accurate approximations. We illustrate this method in a variety of contexts including option pricing with stochastic volatility, computation of Greeks, and the term structure of interest rates.

Technical Details

RePEc Handle
repec:eee:jfinec:v:102:y:2011:i:2:p:390-415
Journal Field
Finance
Author Count
2
Added to Database
2026-01-25