A survival model is given by the survival function Sp(a) - (1-)"". Suppose a whole life insurance policy with a benefit of $41500 payable at the end of the year of death has an effective annual interest rate of 0.025 o.i2.5%) (a) What is the present value for the benefit if the policy is purchased at age 80? 41500A

If $P is invested for n years at 12% compounded continuously, the future value that results after n years is given by the function S = Pe0.12n. (a) At what rate is the future value growing at any time (for any nonnegative n)? Your answer cannot be understood or graded. More Information = (u),s (b) At what rate is the future value growing after 1 year (n = 1)? S'(1) = %3D

Prove that the accumulation function associated with the force of interest satisfies the principle of consistency.

Assn #3 Pg 13 (1-10) And Works x em/?file=https://drive.google.com/uc?id%3D1CTEVTWK8MB4C_mgM7cZiHsSSPeOAZ 10&export%3Ddownload&filename%3DAttachment:%20PDF:%2 9. The balance in a bank account with an annual interest rate of 2%, compounded annually, can be represented using the function f(t) = 1000(1.02), where t is the time in years after opening the %3D 1 account. What was the approximate account balance 6 years and 3 months, or 6- years, after 4 the account was opened?