We propose a simple but rigorous stochastic volatility – stochastic correlation model, formulated as a pair of correlated CIRCEV and Jacobi processes. Our model proves to fit both marginal and joint distributions of implied volatility and correlation. When risk factors estimated from...

We present a stochastic-market-risk extension of a popular doubly-mean-reverting Vasicek model. The model straddles the P and Q measures. By allowing for a stochastic market price of risk, we break the determninisitc link between the return-predicting factor and the market-price of risk, but we...