PT - JOURNAL ARTICLE AU - Jacinto Marabel Romo TI - Pricing Composite and Quanto Derivatives under Stochastic Correlation and Stochastic Volatility AID - 10.3905/jod.2014.21.4.082 DP - 2014 May 31 TA - The Journal of Derivatives PG - 82--102 VI - 21 IP - 4 4099 - https://pm-research.com/content/21/4/82.short 4100 - https://pm-research.com/content/21/4/82.full AB - There is growing trade in options whose payoffs are a function of multiple stochastic variables. One common type is an option on an asset denominated in one currency with a payoff in a different currency. Two closely related structures of this kind are quantos and composite options. Pricing formulas for European payoff contracts are available under Black–Scholes assumptions, but they require the assumption of constant volatility and correlations, neither of which is supported empirically. Romo develops a model of time-varying volatilities and correlations under a multiasset Wishart process, which is solved using Fourier and Laplace transform methods to produce semi-closed-form valuation equations. One structure especially exposed to stochastic correlation risk is a forward-starting quanto, which is easily priced in this framework.TOPICS: Options, risk management