Title: Sensitivity of mountain range options prices

Authors: Krzysztof Echaust; Marcin Bartkowiak

Addresses: Department of Operations Research, Poznan University of Economics, Poland ' Department of Applied Mathematics, Poznan University of Economics, Poland

Abstract: Mountain range options are a particular class of multi-asset options for which no closed form formula for valuation exists and Monte Carlo simulation should be used. In this paper, we conducted an analysis of the sensitivity of mountain range options prices to changes in various risk factors, such as correlation coefficients, underlying prices, volatilities, risk-free rate, and time to expiration. We found numbers of non-typical and nonlinear dependencies in options valuation.

Keywords: mountain range options; sensitivity; structured products; Altiplano; Atlas; Everest; Himalaya; Kilimanjaro; options prices; multi-asset options; options valuation; Monte Carlo simulation; risk factors; correlation coefficients; underlying prices; volatility; risk-free rate; time to expiration.

DOI: 10.1504/IJBD.2016.077168

International Journal of Bonds and Derivatives, 2016 Vol.2 No.2, pp.87 - 107

Received: 20 May 2015
Accepted: 23 Jul 2015

Published online: 19 Jun 2016 *

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