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- Title
Analytical Upper Bounds for American Option Prices.
- Authors
Ren-Raw Chen; Shih-Kuo Yeh
- Abstract
American options require numerical methods, namely lattice models, to provide accurate price estimates. The computations can become expensive when more than one state variable is involved. Analytical upper bounds can therefore provide a useful guideline for how high American values can reach. In this paper, we derive analytical (closed-form) upper bounds for American option prices under stochastic interest rates, stochastic volatility, and jumps where American option prices are difficult to compute with accuracy. In a stochastic volatility model (Heston (1993) and Scott (1997)) that has two random factors, we demonstrate that the upper bound only takes a very small fraction of the time that the American option needs to compute.
- Subjects
MATHEMATICAL models of option; DIVIDEND yield; STOCHASTIC analysis; FUTURES market; PRICES of securities; EXPECTED returns
- Publication
Journal of Financial & Quantitative Analysis, 2002, Vol 37, Issue 1, p117
- ISSN
0022-1090
- Publication type
Article
- DOI
10.2307/3594997