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Titlebook: Derivative Security Pricing; Techniques, Methods Carl Chiarella,Xue-Zhong He,Christina Sklibosios N Book 2015 Springer-Verlag Berlin Heide

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Fachwörterbuch Kraftfahrzeugtechnikticle, we make use of Ito’s lemma to derive the expression for the option value and exploit the idea of creating a hedged position by going long in one security, say the stock, and short in the other security, the option. Alternative hedging portfolios based on Merton’s approach and self financing strategy approach are also introduced.
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https://doi.org/10.1007/978-3-030-45920-8om the conventional approach based on compound options and the free boundary value problem which can be solved by using either the Fourier transform technique or a simple approximation procedure. The framework developed is readily extended to other option pricing problems.
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An Initial Attempt at Pricing an Optionat investors are risk neutral and using the Kolmogorov equation for the conditional probability, we demonstrate how the Black–Scholes option formula can be arrived. We also illustrate how the option price can be viewed in a quite natural way as a martingale and the Feynman–Kac formula, two very important concepts of continuous time finance.
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