Homework Chapter 4, Week 3
1. A $50,000 loan is to be amortized over 7 years, with annual end-of-year payments. Which of these statements is CORRECT? C. The proportion of each payment that represents interest as opposed to repayment of principal would be lower if the interest rate were lower. If the interest rate is low on a loan, the amount of repayment is low.
2. Which of the following statements is CORRECT?
C. to solve for I, one must identify the value of I that causes the PV of the positive CFs to equal the absolute value of the PV of the negative CFs. This is, essentially, a trial-and-error procedure that is easy with a computer or financial calculator but quite difficult otherwise. I must say finding the PV (present value of money) seems to be much easier to me using a financial calculator, you just must learn how to put the correct information in the system.
3. Riverside Bank offers to lend you $50,000 at a nominal rate of 6.5%, compounded monthly. The loan (principal plus interest) must be repaid at the end of the year. Midwest Bank also offers to lend you the $50,000, but it will charge an annual rate of 7.0%, with no interest due until the end of the year. How much higher or lower is the effective annual rate charged by Midwest versus the rate charged by Riverside? D. 0.30%
rM = (1 + (0.07/1))^1 = 1.07
(1.07 – 1.067) 0.003 or 0.3%
4. Steve and Ed are cousins who were both born on the same day, and both turned 25 today. Their grandfather began putting $2,500 per year into a trust fund for Steve on his 20th birthday, and he just made a 6th payment into the fund. The grandfather (or his estate's trustee) will make 40 more $2,500 payments until a 46th and final payment is made on Steve's 65th birthday. The grandfather set things up this way because he wants Steve to work, not be a "trust fund baby," but he also wants to ensure that Steve is provided for in his old age. Until now, the grandfather has been disappointed with Ed,...
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