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Pricing Equity Options under a Double Exponential Jump Diffusion Process in the presence of Stochastic Barrier
Date
2016-09-12
Author
Yolcu Okur, Yeliz
Kozpınar Sarı, Sinem
Uğur, Ömür
Evcin, Cansu
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https://hdl.handle.net/11511/78392
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This paper deals with pricing of European and American options, when the underlying asset price follows Heston model, via the interior penalty discontinuous Galerkin finite element method (dGFEM). The advantages of dGFEM space discretization with Rannacher smoothing as time integrator with nonsmooth initial and boundary conditions are illustrated for European vanilla options, digital call and American put options. The convection dominated Heston model for vanishing volatility is efficiently solved utilizing...
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We consider the problem of hedging a contingent claim, in a market where prices of traded assets can undergo jumps, by trading in the underlying asset and a set of traded options. We give a general expression for the hedging strategy which minimizes the variance of the hedging error, in terms of integral representations of the options involved. This formula is then applied to compute hedge ratios for common options in various models with jumps, leading to easily computable expressions. The performance of th...
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Inflation indexed instruments are designed to help protect investors against the changes in the general level of prices. So, they are frequently preferred by investors and they have become increasingly developing part of the market. In this study, firstly, the HJM model and foreign currency analogy used to price of inflation indexed instruments are investigated. Then, the HJM model is extended with finite number of Poisson process. Finally, under the extended HJM model, a pricing derivation of inflation ind...
Pricing pension buy-outs under stochastic interest and mortality rates
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Pension buy-out is a special financial asset issued to offload the pension liabilities holistically in exchange for an upfront premium. In this paper, we concentrate on the pricing of pension buy-outs under dependence between interest and mortality rates risks with an explicit correlation structure in a continuous time framework. Change of measure technique is invoked to simplify the valuation. We also present how to obtain the buy-out price for a hypothetical benefit pension scheme using stochastic models ...
Pricing american options under discrete and continuous time setting
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In this thesis, pricing of American options are analyzed in discrete and continuous time markets. We first discuss the discrete-time valuation of American options assuming that the underlying asset pays no dividend during the life of the option. In this setting, we uniquely price American options by introducing the Snell envelope and optimal stopping time problem. We prove the main results studied in Lamberton and Lapeyre (1996) in details. In addition, we show that the price of an American call option with...
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Y. Yolcu Okur, S. Kozpınar Sarı, Ö. Uğur, and C. Evcin, “Pricing Equity Options under a Double Exponential Jump Diffusion Process in the presence of Stochastic Barrier,” 2016, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/78392.