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- Suppose you are going to receive $13,500 per year for five years. The interest rate is 8.4%a. What is the present value of the payments if they are in the form of an ordinary annuity? What is the present value if the payments are an annuity due?b. Suppose you plan to invest the payments for five years. What is the future value if the payments are an ordinary annuity? What if the payments are annuity due?c. Which has the highest present value (future value), the ordinary annuity or annuity due?You deposit $100 today, $200 one year from now, and $300 three years from now. How much money will you have at the end of year three if there are different annual interest rates per period according to the following diagram?Suppose you are going to receive Rs. 63,800 per year for five years. The appropriate interest rate is 7.3 What is the present value of the payments if they are in the form of an ordinary annuity? What is the present value if the payments are an annuity due? Suppose you plan to invest the payments for five years. What is the future value if the payments are an ordinary annuity? What if the payments are an annuity due? Which has the highest present value, the ordinary annuity or annuity due? Which has the highest future value? Will this always be true? Note- Answer all the parts of the question
- 2. Find the future value of OMR10,000 invested now after five years if the annual interest rate is 8 percent. a. What would be the future value if the interest rate is a simple interest rate? b. What would be the future value if the interest rate is a compound interest rate?4. (a) How many years will it take to have $5,800 if you invest $1,500 at 5%compounded monthly?(b) What effective annual interest rate would this be equivalent to?1. Suppose you can save $200 per year at the end of each year for 15 years and earn 7.49% interest per year. However, you cannot start saving for five years. What is the present value of this annuity? 2. What are the annual payments for a 4-year $4,000 loan if the interest rate is 9% per year? Make up a loan amortization schedule. 3. Consider the following future value problem. The respective cash flows for t = 0, 1, 2, and 3 are $3,000, $2,000, $8,000, and $5,000 and the discount rate is ten percent. What is the future value at t = 4? 4. You are offered a signing bonus of $2,000,000 or a future payment of $2,500,000 at the end of three years from now. If you can earn 7% on invested funds, would you take the signing bonus or wait for the future payment?
- How long will an amount of money double at a simple interest rate of 2% per annum?1.Suppose you can save $200 per year at the end of each year for 15 years and earn 7.49% interest per year. However, you cannot start saving for five years. What is the present value of this annuity? 2.What are the annual payments for a 4-year $4,000 loan if the interest rate is 9% per year? Make up a loan amortization schedule.1. This problem relates to Future Value, and Future income streams. Assume continuous compounding of interest. (a) Find the present value of a single future payment of FV = $50,000 to be made 20 years from now, assuming an interest rate of 5 percent. (b) Suppose you want a future income stream (annual payments) of FV (t) = 500t for 20 years. Find the present value of this income stream, assuming an interest rate of 5 percent.
- 2 (a)Suppose you expect to receive GH¢ 2,000 per year for the next 22 years except that you will not receive any payment in year 4, 6, 11 and 18. What is the present value of this amount if the interest rate is 24% per year compounded yearly.Suppose you are going to receive $5,000 per year for 8 years. The appropriate interest rate is 10 percent. What is the present value of the payments if they are in the form of an ordinary, a. anhuity? b. What is the present value if the payments are an annuity due?Consider an investment which pays $2,000 at the end of year 1, year 2, and year 3. In year 4, the investment will pay $5,000 and this payment will grow by 4.3% each year forever. If the appropriate interest rate is 7%, what is this investment worth today?
