The valuation of nature-linked bonds with exchange rate risk

This paper develops an arbitrage approach to pricing insurance bonds that bear currency risk. Bondholders are shown to have a short position on path-dependent digital options written on risk-tracking indices. It implements the technique of forward-neutral change of numeraire and comes down to computing first-passage-time distributions of drifted Brownian motions. We derive closed-form formulas or perform simulations depending on whether interest rates are deterministic or stochastic. Along the way, we evaluate outside-barrier currency call options. Then this research studies the effects of both nature risk and exchange rate uncertainty and shows that the former is more significant than the latter. Copyright Academy of Economics and Finance 2001