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Risk neutral densities (RND) can be used to forecast the price of the underlying basis for the option, or it may be used to price other derivates based on the same sequence. The method adopted in this paper to calculate the RND is to firts estimate daily the diffusion process of the underlying...
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We analyze the implied volatility smile of a lognormal distribution on a on a 6 – month EUR/USD call currency option … contract using a random standard normal variable. There is significant time variation in the implied volatility smile and the … estimates of a risk adjusted measure. Deep in or out of the money contract has higher implied volatility. We have found that the …
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In this paper, we develop asymptotic formulas for long-dated Foreign Exchange (FX) and swaptions implied volatilities. We extend the method exposed in Decamps and De Schepper (2009b) to a generic model with time-dependent parameters. Imposing a condition on the skew, we derive averaging formulas...
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We construct multi-currency models with stochastic volatility and correlated stochastic interest rates with a full … interest rate by a stochastic volatility displaced-diffusion Libor Market Model [AA02], which can model an interest rate smile …
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