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We study the pricing of contracts in fixed income markets in the presence of volatility uncertainty. We consider an … arbitrage-free bond market under volatility uncertainty. The uncertainty about the volatility is modeled by a G-Brownian motion … traditional models with the highest and lowest possible volatility. Due to these pricing formulas, the model naturally exhibits …
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In this article, we apply the forward variance modeling approach by L.Bergomi to the co-terminal swap market model. We build an interest rate model for which all the market price changes of hedging instruments, interest rate swaps and European swaptions, are interpreted as the state variable...
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The paper contributes to the stochastic volatility literature by developing simulation schemes for the conditional … distributions of the price of long term bonds and their variability based on non-standard distributional assumptions and volatility … tails (which gives rise to the volatility smile effect) are the elements which characterize the estimated PDFs). The …
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Options on Interest Rates -- 18 Elements of Stochastic Calculus -- 19 *The Mathematical Framework of Financial Markets Theory … -- 20 The State Variables Model and the Valuation Partial Differential Equation -- Part 3 Portfolio Theory and Portfolio … Asset Pricing Model -- 23 Arbitrage Pricing Theory and Multi-Factor Models -- 24 Strategic Portfolio Allocation -- 25 …
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