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A bank's stock price is modeled as a call option on the spread of random assets over random liabilities. The logarithm of assets and liabilities are jointly modeled as driven by four variance gamma processes and this model is estimated by calibrating to quoted equity options seen as compound...
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A major theme of this book is the development of a consistent unified model framework for the evaluation of bond options. In general options on zero bonds (e.g. caps) and options on coupon bearing bonds (e.g. swaptions) are linked by no-arbitrage relations through the correlation structure of...
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Partial differential equations -- Elements of the theory of the Stochastic processes -- Partial differential equation … in the consumer theory -- Partial differential equations in the producer theory -- Partial differential equations and … pricing of the financial -- Derivatives -- A theory of boundedly rational behavior -- Partial differential equations in game …
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The put-call parity is free from distributional assumptions. It is tempting to assume that this parity also holds when an asset pricing model includes reflecting barriers. This paper shows that in the case of geometric Brownian motion with reflection such barriers cause the standard put-call...
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