1. If you are a lender, and interest is set at 8%, would you rather make loans compounded monthly or annually? Why?
B. Suppose that Cougar Autos offers an “easy payment” scheme on a new Honda of $4,000 a year, paid at the end of each of the next four years, with no cash down. What is the car really costing you in today's money? The interest rate is 6%.
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A. $3,168 |
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B. $13,860 |
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C. $15,094 |
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D. $16,000 |
1) If you are a lender you will always prefer interest rate compounded monthly as against annually, as the effective rate with monthly compounding would be:-
=(1+rate/n)^n1-
=(1+8%/12)^12-1
=8.30%
Whereas in annual compounding it is only 8%
2) Car's present value cost:-
=PV(rate,nper,pmt)
=PV(6%,4,-4000)
=13,860
1. If you are a lender, and interest is set at 8%, would you rather make...
rate of 5.25%, 1 Lender I offers you a fixed rate 15-year mortgage at an annual interes compounded monthly, with no points a. F ind your monthly payments under this option. b. Find the total amount of money paid to the lender. c. Find the total amount of interest you will pay over the life of the loan. 2. Lender II offers you a fixed rate 30-year mortgage at an annual interest rate of 5.75%, compounded monthly, with one point...
1. You set up a college fund in which you pay $2500 each year at the end of the year. How much money will you have accumulated in the fund after 10 years, if your fund earns 13% compounded annually? Your Answer: 2. Lauren knows she can afford to make monthly payments of $300 for 36 months. How much will the bank lend her today on a 3% APR car loan in exchange for her promised monthly payments? Your Answer:...
1. (9 marks) Emily wants to buy a new car for $25,300, including all fees and taxes. "Now's a good time to buy," claims the salesman, "we're offering 4 year loans at 5.9%. Even if you have the cash, you're better off borrowing." Emily is confused. The salesman goes on to explain the payment on the car loan would be $593.01, which means that total interest paid on the loan will be $3,164.48. By investing the $25,300 at current savings...
2.46
C. More Challenging Problems 2.45 You have just won a lottery prize of $1 000 000 collectable in 10 yearly installments of S100 000 starting today. Why is this prize not really S1 000 0002 What is it really worth today if money can be invested at 10 percent annual interest, compounded monthly? Use a spreadsheet to construct a table showing the present worth of each installment, and the total present worth of the prize. Suppose in Problem 2.45...
1. (9 marks) Emily wants to buy a new car for $25,300, including all fees and taxes. "Now's a good time to buy," claims the salesman, "we're offering 4 year loans at 5.9%. Even if you have the cash, you're better off borrowing." Emily is confused. The salesman goes on to explain the payment on the car loan would be $593.01, which means that total interest paid on the loan will be $3,164.48. By investing the $25,300 at current savings...
Show how to enter into EXCEL 1. You have decided to place $153 in equal deposits every month at the beginning of the month into a savings account earning 4.69 percent per year, compounded monthly for the next 15 years. The first deposit is made today. How much money will be in the account at the end of that time period? Round the answer to two decimal places 2. What is the present value of the following annuity? $4,765 every...
MAT301 BUSINESS MATHEMATICS AND STATISTICS PROJECT On completion of this project, you should be able to: CO2 – Apply the compound amount formula to calculate the future value, compound interest, and present value of investments and loans. CO3 – Identify and solve problems where the present value and future value of annuity formulae can be appropriately applied. TASK: Fazlina has just graduated from a university. Currently, she works as a junior executive in a local bank and receives a monthly...
1) (3 pts) Bob would like to have a total savings of $30,000 in 6 years to use as a down payment on a future house purchase. He has no money saved up now, but plans on depositing $350 per month at the end of every month to save for this goal. What is the periodic interest rate Bob must earn to reach his goal? What is the Annual Percentage rate? 1 Periodic *.ㅡ I Nominal (APR)- % 2) (3...
On your student loans, if possible, try to make interest-only
payments while you are still in school. If interest is not repaid,
it folds into principal after graduation and can cost you hundreds
(or thousands) of extra dollars in finance charges. For example,
Sara borrowed $5000 at the beginning of her freshman year and
another $4,000 at the beginning of her junior year. The interest
rate (APR) is 9% per year, compounded monthly, so Sara's
interest accumulates at 0.75% per...
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