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Main Authors: Abudurexiti, Nuerxiati, He, Kai, Hu, Dongdong, Sayit, Hasanjan
Format: Preprint
Published: 2021
Subjects:
Online Access:https://arxiv.org/abs/2109.05431
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author Abudurexiti, Nuerxiati
He, Kai
Hu, Dongdong
Sayit, Hasanjan
author_facet Abudurexiti, Nuerxiati
He, Kai
Hu, Dongdong
Sayit, Hasanjan
contents In the papers Carmona and Durrleman [7] and Bjerksund and Stensland [1], closed form approximations for spread call option prices were studied under the log normal models. In this paper, we give an alternative closed form formula for the price of spread call options under the log-normal models also. Our formula can be seen as a generalization of the closed-form formula presented in Bjerksund and Stensland [1] as their formula can be obtained by selecting special parameter values to our formula. Numerical tests show that our formula performs better for certain range of model parameters than the closed-form formula presented in Bjerksund and Stensland [1].
format Preprint
id arxiv_https___arxiv_org_abs_2109_05431
institution arXiv
publishDate 2021
record_format arxiv
spellingShingle A note on closed-form spread option valuation under log-normal models
Abudurexiti, Nuerxiati
He, Kai
Hu, Dongdong
Sayit, Hasanjan
Mathematical Finance
62P05
G.0
In the papers Carmona and Durrleman [7] and Bjerksund and Stensland [1], closed form approximations for spread call option prices were studied under the log normal models. In this paper, we give an alternative closed form formula for the price of spread call options under the log-normal models also. Our formula can be seen as a generalization of the closed-form formula presented in Bjerksund and Stensland [1] as their formula can be obtained by selecting special parameter values to our formula. Numerical tests show that our formula performs better for certain range of model parameters than the closed-form formula presented in Bjerksund and Stensland [1].
title A note on closed-form spread option valuation under log-normal models
topic Mathematical Finance
62P05
G.0
url https://arxiv.org/abs/2109.05431