We present the regression-based Monte Carlo simulation algorithms for solving the stochastic control models associated with pricing and hedging of the Guaranteed Lifelong Withdrawal Benefit (GLWB) in variable annuities, where the dynamics of the underlying fund value is assumed to evolve...

We consider pricing Guaranteed Lifelong Withdrawal Benefit (GLWB) that consists of the early phase of accumulation of benefit base and the later income phase of annuities. The most recent form of the GLWB provides flexibility in allowing additional purchases in the accumulation phase, dynamic...

The guaranteed minimum withdrawal benefi ts (GMWB) are popular riders in variable annuities with withdrawal guarantees. With withdrawals spread over the life of the annuities contract, the bene fit promises to return the entire initial annuitization amount irrespective of the market performance...

This paper presents the willow tree algorithms for pricing variable annuities with Guaranteed Minimum Withdrawal Benefits (GMWB), where the underlying fund dynamics evolve under the Merton jump-diffusion process or constant-elasticity-of-variance (CEV) process. The GMWB rider gives the...

Exact simulation schemes under the Heston stochastic volatility model (e.g., Broadie-Kaya and Glasserman-Kim) suffer from computationally expensive Bessel function evaluations. We propose a new exact simulation scheme without the Bessel function, based on the observation that the conditional...

Using real options game models, we consider the characterization of strategic equilibria associated with an asymmetric R&D race between an incumbent firm and an entrant firm in the development of a new innovative product under market and technological uncertainties. The random arrival time of...

Most of the existing pricing models of variance derivative products assume continuous sampling of the realized variance processes, though actual contractual specifications compute the realized variance based on sampling at discrete times. We present a general analytic approach for pricing...

We consider the stochastic control model with finite time horizon for a mixed duopoly R&D (Research and Development) race between the profit-maximizing private firm and welfare maximizing public firm. In our two-firm stochastic control R&D race model, the stochastic control variable is taken to...

Assuming the absence of market frictions, deterministic interest rates, and certainty in dividend payouts from the stocks in the index basket, an arbitrageur can lock in the profit of a positive (negative) arbitrage basis in a stock index futures by adopting a short (long) futures strategy. In...

Convexity correction arises when one computes the expected value of an interest rate index under a probability measure other than its own natural martingale measure. As a typical example, the natural martingale measure of the swap rate is the swap measure with annuity as the numeraire. However,...