Abstract
Consider the problem of pricing options on forwards in energy markets, when spot prices follow a geometric multi-factor model in which several rates of mean reversion appear. In this paper, we investigate the role played by slow mean reversion when pricing and hedging options on forwards. In particular, we determine both upper and lower bounds for the error one makes neglecting low rates of mean reversion in the spot price dynamics in a jump diffusion setting. When including stochastic volatility as well as time dependent mean reversion into the model, we quantify a bound for the maximum error one makes.
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