Pricing and Hedging Gap Risk
21 Pages Posted: 5 Sep 2008 Last revised: 10 Oct 2008
Date Written: September 4, 2008
Abstract
We analyze a new class of exotic equity derivatives called gap options or gap risk swaps. These products are designed by major banks to sell off the risk of rapid downside moves, called gaps, in the price of the underlying. We show that to price and manage gap options, jumps must necessarily be included into the model, and present explicit pricing and hedging formulas in the single asset and multi-asset case. The effect of stochastic volatility is also analyzed.
Keywords: Gap risk, gap option, exponential Levy model, quadratic hedging, Levy copula
JEL Classification: G13
Suggested Citation: Suggested Citation
Do you have negative results from your research you’d like to share?
Recommended Papers
-
Transform Analysis and Asset Pricing for Affine Jump-Diffusions
By Darrell Duffie, Jun Pan, ...
-
Transform Analysis and Asset Pricing for Affine Jump-Diffusions
By Darrell Duffie, Jun Pan, ...
-
The Impact of Jumps in Volatility and Returns
By Michael S. Johannes, Bjorn Eraker, ...
-
Implied Volatility Functions: Empirical Tests
By Bernard Dumas, Jeff Fleming, ...
-
Recovering Risk Aversion from Option Prices and Realized Returns
-
Recovering Probabilities and Risk Aversion from Option Prices and Realized Returns
-
Stock Return Characteristics, Skew Laws, and the Differential Pricing of Individual Equity Options
By Gurdip Bakshi, Nikunj Kapadia, ...
-
Stock Return Characteristics, Skew Laws, and the Differential Pricing of Individual Equity Options
By Nikunj Kapadia, Gurdip Bakshi, ...
-
Nonparametric Estimation of State-Price Densities Implicit in Financial Asset Prices
By Yacine Ait-sahalia and Andrew W. Lo