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Derivatives Markets with Stochastic Volatility
Interest-Rate Derivatives and Value-at-Risk
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180 b
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Although the assumption of constant volatility is areasonable approximation for some markets, in thelast two decades the need for more general non-constant volatility models has been the drivingforce behind numerous works in FinancialMathematics. In this book we study systems thatarise in interest-rate markets when the volatilityof the short rate is modeled as a function of twomean-reverting diffusions that vary on differentscales. This allows us to capturea rich variety ofvolatility patterns. In the last part of the bookthe analysis is extended to other areas, like Value-at-Risk, in which similar systems arise when thevolatility is modeled as a stochastic process. Thebook is oriented to researchers who work in thefield of Mathematical Finance, as well as topractitioners who would like to gain a betterunderstanding of how to include stochasticvolatility in their models.
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