Homework Chapter 4
FIN 534 – Homework Chapter 4
Directions: Answer the following five questions on a separate document. Explain how you reached the answer or show your work if a mathematical calculation is needed, or both. Submit your assignment using the assignment link in the course shell. Each question is worth five points apiece for a total of 25 points for this homework assignment.
1. A $50,000 loan is to be amortized over 7 years, with annual end-of-year payments. Which of these statements is CORRECT?
a. The annual payments would be larger if the interest rate were lower.
b. If the loan were amortized over 10 years rather than 7 years, and if the interest rate were the same in either case, the first payment would include more dollars of interest under the 7-year amortization plan.
c. The proportion of each payment that represents interest as opposed to repayment of principal would be lower if the interest rate were lower.
d. The last payment would have a higher proportion of interest than the first payment. e. The proportion of interest versus principal repayment would be the same for each of the 7 payments.
2. Which of the following statements is CORRECT?
a. If you have a series of cash flows, each of which is positive, you can solve for I, where the solution value of I causes the PV of the cash flows to equal the cash flow at Time 0.
b. If you have a series of cash flows, and CF0 is negative but each of the following CFs is positive, you can solve for I, but only if the sum of the undiscounted cash flows exceeds the cost.
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 trialand-error procedure that is easy with a computer or financial calculator but quite difficult otherwise.
d. If you solve for I and get a negative number, then you must have made a mistake.
e. If CF0 is positive and all the other CFs are negative, then you
Directions: Answer the following five questions on a separate document. Explain how you reached the answer or show your work if a mathematical calculation is needed, or both. Submit your assignment using the assignment link in the course shell. Each question is worth five points apiece for a total of 25 points for this homework assignment.
1. A $50,000 loan is to be amortized over 7 years, with annual end-of-year payments. Which of these statements is CORRECT?
a. The annual payments would be larger if the interest rate were lower.
b. If the loan were amortized over 10 years rather than 7 years, and if the interest rate were the same in either case, the first payment would include more dollars of interest under the 7-year amortization plan.
c. The proportion of each payment that represents interest as opposed to repayment of principal would be lower if the interest rate were lower.
d. The last payment would have a higher proportion of interest than the first payment. e. The proportion of interest versus principal repayment would be the same for each of the 7 payments.
2. Which of the following statements is CORRECT?
a. If you have a series of cash flows, each of which is positive, you can solve for I, where the solution value of I causes the PV of the cash flows to equal the cash flow at Time 0.
b. If you have a series of cash flows, and CF0 is negative but each of the following CFs is positive, you can solve for I, but only if the sum of the undiscounted cash flows exceeds the cost.
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 trialand-error procedure that is easy with a computer or financial calculator but quite difficult otherwise.
d. If you solve for I and get a negative number, then you must have made a mistake.
e. If CF0 is positive and all the other CFs are negative, then you