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Ground-up losses (i.e., full-coverage losses), X, have cdf FX(x)=(x/5,000)3 for 0x5,000 and pdf fX(x). Calculate E[YL],E[YP],Var[YL] and Var[YP], and the loss-elimination ratio (LER) assuming: a)
Ground-up losses (i.e., full-coverage losses), X, have cdf FX(x)=(x/5,000)3 for 0x5,000 and pdf fX(x). Calculate E[YL],E[YP],Var[YL] and Var[YP], and the loss-elimination ratio (LER) assuming: a) Calculate E[X] and Var[X]; b) Given a policy has a franchise deductible d=2,000, calculate E[YL],E[YP],Var[YL] and Var[YP], and the loss-elimination ratio (LER); c) Given a policy has a franchise deductible d=1,000 and a policy limit u=3,000, calculate E[YL], E[YP],Var[YL] and Var[YP], and the loss-elimination ratio (LER); and d) Given a policy has a franchise deductible d=1,500, a policy limit u=4,000, coinsurance =75%, and inflation r=10%, calculate E[YL],E[YP],Var[YL] and Var[YP], and the loss-elimination ratio (LER). Ground-up losses (i.e., full-coverage losses), X, have cdf FX(x)=(x/5,000)3 for 0x5,000 and pdf fX(x). Calculate E[YL],E[YP],Var[YL] and Var[YP], and the loss-elimination ratio (LER) assuming: a) Calculate E[X] and Var[X]; b) Given a policy has a franchise deductible d=2,000, calculate E[YL],E[YP],Var[YL] and Var[YP], and the loss-elimination ratio (LER); c) Given a policy has a franchise deductible d=1,000 and a policy limit u=3,000, calculate E[YL], E[YP],Var[YL] and Var[YP], and the loss-elimination ratio (LER); and d) Given a policy has a franchise deductible d=1,500, a policy limit u=4,000, coinsurance =75%, and inflation r=10%, calculate E[YL],E[YP],Var[YL] and Var[YP], and the loss-elimination ratio (LER)
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