Pricing and hedging lookback options using black-scholes in borsa İstanbul

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Tezin Türü: Yüksek Lisans

Tezin Yürütüldüğü Kurum: Orta Doğu Teknik Üniversitesi, Uygulamalı Matematik Enstitüsü, Finansal Matematik Anabilim Dalı, Türkiye

Tezin Onay Tarihi: 2016

Öğrenci: SHAROY AUGUSTINE SAMUEL PAUL

Danışman: ALİ DEVİN SEZER

Özet:

The lookback option is a path dependent option that looks at the behaviour of the underlying asset for a specified time frame known as the lookback period. The maximum (minimum) attained during the lookback period is used to determine the option's payoff. In this thesis, the floating strike lookback option, which uses the maximum to determine the strike price for the put options will be examined and will be applied to the assets appearing in the BIST30 index. We estimate the historical volatility of these assets and compute the price of the floating strike lookback options written on these assets using the Black Scholes (BS) framework. We then apply the delta hedging algorithm given by Black Scholes to see its replication performance for these lookback options. We apply the algorithm in two different periods: October 2015 and January 2016.