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1. For an n-year unit endowment insurance issued on a fully continuous basis to (x), define L, the prospective loss after duration t. Confirm

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1. For an n-year unit endowment insurance issued on a fully continuous basis to (x), define L, the prospective loss after duration t. Confirm that 2 Var(+L|T>t) x+t:n=t| (x+t:nt) (Sx:n) 2. The prospective loss, after duration t, for a single benefit premium n-year continuous temporary life annuity of 1 per annum issued to (x) is given by aT-t tL tT t] and Var[tL|T > t] in symbols of actuarial present values.

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