Question
the answers need to be shown in a timeline as well as the answer in #5 =Future value*rate/((1+rate)^t-1)5. You want to buy a boat in
the answers need to be shown in a timeline as well as the answer in #5
=Future value*rate/((1+rate)^t-1)5. You want to buy a boat in 5 years and need to have $8,000 available to use as a down payment. How much would you need to save each year to reach that goal and your money will earn 9%? H
=Future value*rate/((1+rate)^t-1)
=8000*9%/(1.09^5-1) =1336.739656
6. Refer to #5. Instead of saving each year, you want to save each month to reach your desired $8,000. Assume the same rate and term as above. Note: you cannot divide your answer to #5 by 12.
7. Sandy is buying a car and wants to get a loan of $8,000. If the rate is 6% and term is 5 years, what would the monthly payments be?
8. Diane is going to save $300 every 6 months (twice a year) for 10 years. If the rate is 8%, how much will she have?
9. Ken is going to save $300/month for 10 years, but will start TODAY. If the rate is 8%, how much will he have? Note the difference in your answer to this problem from #8. Explain WHY is there a difference in your answers?
10. Uncle Guido wants to give you a gift. He tells you he will write a check to you of $1500 in 1 year, $2,600 in year 2 and $3,000 in year 3. How much does Guido have to set aside now in order to have sufficient funds to write all of those checks? Assume a 10% rate.
11. You get a loan of $100,000 for 10 year term. If the payments are $1,801.85/month, what is the interest rate on this loan (remember all rates are always quoted as annual figures)? Hint: set up timeline and determine which type of TVM problem it resembles. Then solve.
12. Carla will give $200 to you every three months for 10 years (4x per year). At year 10 she will also give $10,000 to you. What amount of money must be available in her bank account in order for her to have enough money to meet her promise. The rate is 12%. Hint: this problem is a combination of 2 types of TVM problems. Your final answer is the sum of the two.
13. Brett has contract that will pay him $10,000 at the end of 5 years. Brett wants money now and not in 5 years, so he is willing to have contract signed over to you (so you would receive that money) if you give him some money today. If you require a 12% interest rate on money you lend to friends. What is the maximum amount you would you be willing to pay for this contract?
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