type="main" xml:lang="en" <title type="main">Abstract</title> <p>We develop an optimum risk–return hurricane hedge model in a doubly stochastic jump-diffusion economy. The model's concave risk–return trade-off dictates that a higher correlation between hurricane power and insurer's loss, a smaller variable hedging cost,...</p>

We generalize the standard lattice approach of Cox, Ross, and Rubinstein (1976) from a fixed sum to a random sum in a subordinated process framework to accommodate pricing of derivatives with random-sum characteristics. The asset price change now is determined by two independent Bernoulli trials...