Q4. For a three-year temporary life annuity due of 1,000 on (75), you are given: Sµ(t) dt = 0.01x12,x > 0 i = 0.11 Calculate the expected present value of this annuity.
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- Suppose an investment account is opened with aninitial deposit of 10,500 earning 6.25 interest,compounded continuously. How much will theaccount be warm after 25 years?Jerome invests $18,000 at age 17. He hopes the investments will be worth $30,000 when he turns 26. If the interest compounds continuously, approximately what rate of growth will he need to achieve his goal? Is that a reasonable expectation?A project has an initial cost of $100,000 and uniform annual benefits of $12,500. At the end of its 8-year useful life, its salvage value is $30,000. At a 10% interest rate, the net present worth of the project is approximate:
- If $P is invested for n years at 10% compounded continuously, the future value that results after n years is given by the function S = Pe0.1n. (a) At what rate is the future value growing at any time (for any nonnegative n)? S'(n) = (b) At what rate is the future value growing after 1 year (n = 1)? S'(1) =The future value at 7% interest compounded continuously for 5 years, of the continuous income stream with rate of flow f(t)=2,700e−0.02t, is $15,427. Compute the interest earned.Given an interest rate of zero percent, the future value of a lump sum invested today wil always: OA. remain constant, regardless of the investment time period. OB. decrease if the investment time period is shortened. OC. decrease if the investment time period is lengthened. OD. be equal to $0.
- suppose that r(t)=250,000 is a continuous income stream for 5 years at 5% compounded continuously. find the future value?If $P is invested for n years at 9% compounded continuously, the future value that results after n years is given by the function S = Pe0.09n. (a) At what rate is the future value growing at any time (for any nonnegative n)? S'(n) = 0.09Pe.09n (b) At what rate is the future value growing after 1 year (n = 1)? S'(1) = 0.0984P (c) Is the rate of growth of the future value after 1 year greater than 9%? Why? Yes, since e0.09 > 1. No, since e0.09 < 1. 3.If : Present Value (PV) of a bond= $8000 Number of Years (N) it takes to mature = 20years. Interest Rate (r) = 7% Using the rule of 70, what is the Future Value (FV) ?