Question: Develop revised formulas for YRT premiums and death benefits (Formulas 7.4.4, 7.4.5, and 7.4.6) to reflect the impact of recapture. Assume that, except for the


Develop revised formulas for YRT premiums and death benefits

(Formulas 7.4.4, 7.4.5, and 7.4.6) to reflect the impact of recapture.

Assume that, except for the impact of recapture, a constant percentage equal to ReinsPct is reinsured. Use the following additional notation:

RecapPct(t) = The percentage of the original reinsurance that is recaptured at the end of policy year t CumRecapPct(t) = The cumulative percentage of reinsurance that has been recaptured through the end of policy year f.

Develop a formula for CumRecapPct(t) in terms of RecapPct(t) and CumRecapPct(t — 1).

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