Time Value of Money Extra Problem Set 1 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 …show more content…
How much would you have to set aside each year if you could put money away starting now?
14. If you put $5000 in the stock market, how many years would it take you to triple your money if the market is making 12% a year?
15. If the effective annual interest rate is 8.5% per year, what is the nominal annual interest rate under monthly compounding?
16. If you put $10 away at the end of each month for the next 40 years at a 12% simple annual interest rate, how much money would you end up with? What if you started at the beginning of each month?
17. If you borrow $150,000 for a house at 8% simple annual interest rate for 15 years, what is your monthly payment?
18. Referring to question 17, how much interest did you pay over the 15 years?
19. What is the value of a $10,000,000 lottery ticket paid out over 20 years if interest rates are at 6%, the average tax rate is 35%, and the odds of winning are 1/7,000,000?
20. How long would it take to accumulate $50,000 if you started putting $5 in the bank every day starting at the end of today at simple annual interest rate of 7.3%?
21. How long would it take to accumulate $50,000 if you started putting $5 in the bank every month starting now at a simple annual interest rate of 7.3%? What if you started at the end of each month?
Answers:
1. 3,558
2. 5,131
3. 952
4. 14.87
5.
academic year interest rate of 3.76 percent would pay a 5,032 dollars interest over 10 years,
Poor Dog, Inc. borrowed $135,000 from the bank today. They must repay this money over the next six years by making monthly payments of $2,215.10. What is the interest rate on the loan? Express your answer with annual compounding.
| |finance the balance. How much will each monthly loan payment be if they can borrow the necessary funds for 30 years at 9% per |
1. A condo in Orange Beach, Alabama, listed for $1.4 million with 20% down and financing at 5% for 30 years. What would the monthly payment be?
8. Karen has $16,000 that she wants to invest for 1 year. She can invest this amount at The North Bank and earn 5.50 percent simple interest. Or, she can open an account at The South Bank and earn 5.39 percent interest, compounded monthly. If Karen decides to invest at The North Bank, she will:
a. Starting with $20,000, how much will you have in 20 years if you can earn 5% on your money?
What annual interest rate is needed to produce $200,000 after five years if only $100,000 is invested?
2. St. Luke’s Convalescent Center has $200,000 in surplus funds that it wishes to invest in marketable securities. If transaction costs to buy and sell the securities are $2,200 and the securities will be held for three months, what required annual yield must be earned before the investment makes economic sense?
10. An investment of $1,000 today will grow to $1,100 in one year. What is the continuously compounded rate of return?
2. If you had a payment that was due you in 5 years for $50,000 and you could earn a 5% rate of return, how much
12. Today, you deposit $10,750 in a bank account that pays 3 percent simple interest. How much interest will you earn over the next 7 years?
A person deposited $500 in a savings account that pays 5% annual interest that is compounded yearly. At the end of 10 years, how much money will be in the savings account? (Bluman, A. G. 2005, page 230).
Which of the following statements regarding a 15-year (180-month) $125,000, fixed-rate mortgage is CORRECT? (Ignore taxes and transactions costs.)
At an interest rate of 15% per year (3.75% for three months, the amount to borrow equals
After the calculations you end up coming out with a rate of 14.87%. The third and final part of question three asks what rate you will need if the interest is compounded semiannually. All you have to do is double the amount of terms and you will come out with a lower number of 7.177%. Since the interest is compounded semiannually that means that you will need to times that number by two and you come out with your final number of 14.35%.