Abstract
Improvements in medical technology and longevity risk increase the popularity of healthcare insurance products. This article combines several well-known healthcare products and develops a theoretical model for a variable annuity product with some specific benefits. More precisely, the new product is a variable annuity product that accompanies with long-term care coverage, limited hospitalisation coverage and a guaranteed lifelong withdrawal benefit option. Under a non-arbitrage market (the geometric Brownian motion) investment, the fair lam sum premium of such insurance products has been evaluated. Using an MCMC simulation method, a numerical study has been conducted to illustrate the capability of the product.
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