Recently, Ross (2015) showed that the real-world probability distribution of a discrete Markovian state variable can be recovered from observed option prices. The so-called recovery theorem follows from Perron-Frobenius matrix theory when the pricing kernel is transition independent. In this...

The solution to dynamic portfolio choice models can be formulated in terms of a value function by the Bellman principle of optimality, which reduces the multi-period optimal policy choice problem to a sequence of one-period maximization problems. For two adjacent periods, economists compute the...

This paper studies the optimal life cycle consumption and portfolio choice problem taking into account annuity risk due to stochastic interest rates. When the purchase of annuities is restricted to the retirement date, the annuitant is exposed to the risk of meeting low interest rates at the...

Ross recovery specifies conditions under which it is possible to recover the real-world probability measure as well as the pricing kernel from a family of pricing operators. In this paper, we study Ross recovery theoretically within a semigroup framework using Perron-Frobenius operator theory....

In this paper, we derive explicit expressions for certain joint moments of stock prices and option prices within a generic affine stochastic volatility model. Evaluation of each moment requires weighted inverse Fourier transformation of a function that is determined by the risk-neutral and...

Affine jump diffusion models in general and affine stochastic volatility models in particular are important modeling tools in finance. Their popularity resides in their exibility coupled with their analytical tractability, especially with respect to characteristic functions and polynomial...