Question: solve this one Consider a 20-year endowment insurance with a sum insured of $100,000 Where the death benet is paid at the end of the

solve this one

Consider a 20-year endowment insurance with a sum insured of $100,000 Where the death benet is paid at the end of the year of death or at maturity, issued to (50). Premiums of P are payable annually throughout the term of the insurance. Assume that mortality follows the Standard Ultimate Life Table and an annual effective interest rate of 5%. 1. Derive an expression for L3. 2. Derive an expression for E [L3] and Var[L'3]. 3. Calculate the annual net premium

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