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PATH AVERAGED OPTION VALUE CRITERIA FOR SELECTING BETTER OPTIONSPATH AVERAGED OPTION VALUE CRITERIA FOR SELECTING BETTER OPTIONS

Other Titles
PATH AVERAGED OPTION VALUE CRITERIA FOR SELECTING BETTER OPTIONS
Authors
김준석유민현손혜주이승규김명현최용호정다래김영록
Issue Date
2016
Publisher
한국산업응용수학회
Keywords
Black–Scholes equations; European options; path-averaged option value.
Citation
Journal of the Korean Society for Industrial and Applied Mathematics, v.20, no.2, pp.163 - 174
Indexed
KCI
Journal Title
Journal of the Korean Society for Industrial and Applied Mathematics
Volume
20
Number
2
Start Page
163
End Page
174
URI
https://scholar.korea.ac.kr/handle/2021.sw.korea/90493
DOI
10.12941/jksiam.2016.20.163
ISSN
1226-9433
Abstract
In this paper, we propose an optimal choice scheme to determine the best option among comparable options whose current expectations are all the same under the condition that an investor has a confidence in the future value realization of underlying assets. For this purpose, we use a path-averaged option as our base instrument in which we calculate the time discounted value along the path and divide it by the number of time steps for a given expected path. First, we consider three European call options such as vanilla, cash-or-nothing, and assetor- nothing as our comparable set of choice schemes. Next, we perform the experiments using historical data to prove the usefulness of our proposed scheme. The test suggests that the pathaveraged option value is a good guideline to choose an optimal option.
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