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Life annuities Actuarial problems. All rights reserved. Actuarial problems. E The possible payments to the living are 10, 20, 30, at times 0, 30, 60, respectively. Let T40 be the age—at-death of T40 has a uniform distribution 0. C Let ax be the contract premium.
The expected loss as a percentage of the contract premium is 3. Let q be the 75—th quantile of the distribution of Y x. Calculate Var aT x. A member of your product development team suggests enhancing the product by adding a death benefit that will be paid at the end of the year of death. D We have that 0. We have that 5. You are given: i There are winners each age Calculate the initial amount of the fund.
Rather than receiving the money at once, the winner is offered the actuarially equivalent option of receiving an annual payment of K at the beginning of each year guaranteed for 10 years and continuing thereafter for life.
A We have that 0.
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