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You will receive a cash payment of $6.4 in 4 years. If the relevant interest rate is 16.4%, how much is it worth today?
To calculate the present value of the $6.4 cash payment received in 4 years at a 16.4% interest rate, we can use the formula for the present value of a single future cash flow:
where,
PV is the present value,
FV is the future value,
r is the interest rate, and
n is the number of periods.
Step by step
Solved in 2 steps
- You want to invest $8,000 at an annual Interest rate of 8% that compounds annually for 12 years. Which table will help you determine the value of your account at the end of 12 years? A. future value of one dollar ($1) B. present value of one dollar ($1) C. future value of an ordinary annuity D. present value of an ordinary annuityUse the tables in Appendix B to answer the following questions. A. If you would like to accumulate $4,200 over the next 6 years when the interest rate is 8%, how much do you need to deposit in the account? B. If you place $8,700 in a savings account, how much will you have at the end of 12 years with an interest rate of 8%? C. You invest $2,000 per year, at the end of the year, for 20 years at 10% interest. How much will you have at the end of 20 years? D. You win the lottery and can either receive $500,000 as a lump sum or $60,000 per year for 20 years. Assuming you can earn 3% interest, which do you recommend and why?Suppose that you will receive annual payments of $16,500 for a period of 10 years. The first payment will be made 6 years from now. If the interest rate is 7%, what is the present value of this stream of payments?
- 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?What is the present value of $3,000 paid each year forever, assuming a discount rate of 5% and the first payment occurs one year from now? Equivalently: What amount would you have to invest today at an interest rate of 5% to generate an annual payment of $3,000 forever?You have RM 5,000.00 you want to invest for the next 45 years until retirement. You are offered an investment plan that will pay you 6 percent per year for the next 15 years and 10 percent per year for the last 30 years.a) Explain the time value of money principleb) Identify the underlying assumption of the time value of money principlec) Draw a graph that illustrates the relationship between interest rates and the present value of RM 1,000.00 to be received in one year.d) Suggest how you can minimize the amount of cash you must invest in order to reach your retirement goal.e) Compute the amount you will have at the end of the 45 years.f) Calculate the amount you would have if the investment plan pays 10 percent for the first 15 years and 6 percent per year for the next 30 years.
- Suppose you are going to receive $10,000 per year for 5 years. The appropriate interest rate is 11%. What is the present value of the payments if they are in the form of an ordinary annuity?How much should you pay today for a 10 year annuity that will provide annual payments of $10,000? Assume an interest rate of 4%. PLEASE BREAK IT DOWNYou expect to receive a one-time payment of $1,000 in 10 years and a second payment of $1,500 in 15 years. The annual interest rate is 3%. If you invest the amount that you'll receive in 10 years, how much money will you have in year 15 (including the cash flow in year 15)?
- Assume that you are going to receive $468 yearly until the day of your retirement (15 years from now). What is the future value (the day of your retirement) of all these cash flows if the interest rate is 8.69%?● An investment will provide you with $100 at the end of each year for the next 10 years. What is the present value of that annuity if the discount rate is 8% annually? • What is the present value of the above if the payments are received at the beginning of each year? • If you deposit those payments into an account earning 8%, what will the future value be in 10 years? • What will the future value be if you open the account with $1,000 today, and then make the $100 deposits at the end of each year?You may purchase an annuity that will pay you 300000 in income per year starting one year from now and continuing for a total 22 years, or 22 payments. Assuming an annual risk-free interest rate of 4%, what is a fair price for this annuity?