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[An explicit weak solution for the 3/2 stochastic volatility model is obtained and used to develop a simulation algorithm for option pricing purposes. The 3/2 model is a non-affine stochastic volatility model whose variance process is the inverse of a CIR process. This property is exploited here to obtain an explicit weak solution, similarly to Kouritzin (Int J Theor Appl Finance 21(01):1850006, 2018) for the Heston model. A simulation algorithm based on this solution is proposed and tested via numerical examples. The performance of the resulting pricing algorithm is comparable to that of other popular simulation algorithms.]
Published: Aug 5, 2021
Keywords: 3/2 model; Explicit solutions; Weak solutions; Stochastic volatility; Monte Carlo simulations; Option pricing; Non-affine volatility
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