# Tvm of Money

**Topics:**Compound interest, Time value of money, Interest

**Pages:**12 (2826 words)

**Published:**October 5, 2012

1. You are planning to retire in twenty years. You'll live ten years after retirement. You want to be able to draw out of your savings at the rate of $10,000 per year. How much would you have to pay in equal annual deposits until retirement to meet your objectives? Assume interest remains at 9%. [$1254]

2. You can deposit $4000 per year into an account that pays 12% interest. If you deposit such amounts for 15 years and start drawing money out of the account in equal annual installments, how much could you draw out each year for 20 years? [$19964.12]

3. What is the value of a $100 perpetuity if interest is 7%? [$1428.57]

4. You deposit $13,000 at the beginning of every year for 10 years. If interest is being paid at 8%, how much will you have in 10 years? [$203391.33]

5. You are getting payments of $8000 at the beginning of every year and they are to last another five years. At 6%, what is the value of this annuity? [35720.84]

6. How much would you have to deposit today to have $10,000 in five years at 6% interest compounded semiannually? [$7440.94]

7. Construct an amortization schedule for a 3-year loan of $20,000 if interest is 9%.

8. If you get payments of $15,000 per year for the next ten years and interest is 4%, how much would that stream of income be worth in present value terms? [$121663.50]

9. Your company must deposit equal annual beginning of year payments into a sinking fund for an obligation of $800,000 which matures in 15 years. Assuming you can earn 4% interest on the sinking fund, how much must the payments be? [$38415]

10. If you deposit $45,000 into an account earning 4% interest compounded quarterly, how much would you have in 5 years? [$54908.55]

11. How much would you pay for an investment which will be worth $16,000 in three years? Assume interest is 5%. [$13821]

12. You have $100,000 to invest at 4% interest. If you wish to withdraw equal annual payments for 4 years, how much could you withdraw each year and leave $0 in the investment account? [$27548]

13. You are considering the purchase of two different insurance annuities. Annuity A will pay you $16,000 at the beginning of each year for 8 years. Annuity B will pay you $12,000 at the end of each year for 12 years. Assuming your money is worth 7%, and each costs you $75,000 today, which would you prefer? [$102228 and $95312]

14. If your company borrows $300,000 at 8% interest and agrees to repay the loan in 10 equal semiannual payments to include principal plus interest, how much would those payments be? [$36897]

15. You deposit $17,000 each year for 10 years at 7%. Then you earn 9% after that. If you leave the money invested for another 5 years how much will you have in the 15th year? [$361374] Time Value of Money Extra Problem Set 2

1. $7,000 dollars 10 years from now at 7% is worth how much today? 2. $10,000 dollars 7 years from now at 10% is worth how much today? 3. How much would you have to put in the bank today at 5% to accumulate $1,000 by next year? 4. If you double your money in 5 years, what interest rate did you earn? 5. If you triple your money in 10 years, what interest rate did you earn? 6. If you put $100 in the market at the end of every year for 20 years at 10%, how much would you end up with? What if you put the $100 in at the beginning of every year? 7. If you put $100 in the market today at 10%, how much would you end up with in 20 years? 8. If you borrow $10,000 for a car loan at a 6% simple annual interest rate, what would be your monthly payment on a 5 year loan? 9. If you borrow $150,000 for a house at a 8% simple annual interest rate for 30 years, what is your monthly payment? 10. A simple annual interest rate of 12% compounded monthly has an effective yield of? 11. A simple annual interest rate of 12%...

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