Modified True or False T means Correct and F means Wrong Scenario: A $150,000 loan is to be amortized over 7 years, with annual end-of-year payments. The annual payments would be larger if the interest rate were lower. 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. The proportion of each payment that represents interest as opposed to repayment of principal would be higher if the interest rate were lower. The proportion of each payment that represents interest versus repayment of principal would be higher if the interest rate were higher. The proportion of interest versus principal repayment would be the same for each of the 7 payments. Group of answer choices T,T,T,T F,T,F,T F, F, F, F T,T,F,T F,T,F,F F,F,F,T T,F,T,F

Modified True or False T means Correct and F means Wrong Scenario: A $150,000 loan is to be amortized over 7 years, with annual end-of-year payments. The annual payments would be larger if the interest rate were lower. 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. The proportion of each payment that represents interest as opposed to repayment of principal would be higher if the interest rate were lower. The proportion of each payment that represents interest versus repayment of principal would be higher if the interest rate were higher. The proportion of interest versus principal repayment would be the same for each of the 7 payments. Group of answer choices T,T,T,T F,T,F,T F, F, F, F T,T,F,T F,T,F,F F,F,F,T T,F,T,F

Corporate Fin Focused Approach

5th Edition

ISBN:9781285660516

Author:EHRHARDT

Publisher:EHRHARDT

Chapter4: Time Value Of Money

Section4.17: Amortized Loans

Problem 1ST

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A $150,000 loan is to be amortized over 6 years, with annual end-of-year payments. Which of these statements is CORRECT? The proportion of interest versus principal repayment would be the same for each of the 7 payments. The annual payments would be larger if the interest rate were lower. If the loan were amortized over 10 years rather than 6 years, and if the interest rate were the same in either case, the first payment would include more dollars of interest under the 6-year amortization plan. The proportion of each payment that represents interest as opposed to repayment of principal would be higher if the interest rate were lower. The proportion of each payment that represents interest versus repayment of principal would be higher if the interest rate were higher.
A $10,000 loan amortized over 5 years at an interest rate of 10% per year would require payments of $2638 to completely extinguish the loan when interest is charged on the unrecovered balance. If interest is charged on the principal instead of the unrecovered balance, what would be the balance after 5 years if the same $2638 payments are made each year?
A $200,000 loan amortized over 14 years at an interest rate of 10% per year requires payments of $21,215.85 to completely remove the loan when interest is charged on the unrecovered balance of the principal. If interest is charged on the original principal instead of the unrecovered balance, what is the loan balance after 14 years provided the same $21,215.85 payments are made each year?
A partially amortizing loan for $92,000 for 10 years is made at 6 percent interest. The lender and borrower agree that payments will be monthly and that a balance of $20,000 will remain and be repaid at the end of year 10. Required: a. Assuming 4 points are charged by the lender, what will be the yield if the loan is repaid at the end of year 10? b. What must the loan balance be if it is repaid after year 4? c. What will be the yield to the lender if the loan is repaid at the end of year 4? Note: For all requirements, do not round intermediate calculations, round your final answers to 2 decimal places.
Assume a $620,000 loan over a 20 year period at a fixed rate of 5.85%. How much would a borrower save by taking the loan out on a full-capital repayment schedule rather than an Interest Rate basis? a. $164,328.81 b. $327,813.04 c. $0 d. $292,186.96
An institutional lender is willing to make a loan for $1 million on an office building at a 10 percent interest (accrual) rate with payments calculated using an 8 percent pay rate and a 30-year loan term. (That is, payments are calculated as if the interest rate were 8 percent with monthly payments over 30 years.) After the first five years the payments are to be adjusted sothat the loan can be amortized over the remaining 25-year term.a. What is the initial payment?b. How much interest will accrue during the first year?c. What will the balance be after five years?d. What will the monthly payments be starting in year 6?
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2.A certain loan was to be amortized based on the schedule below at 15% interest. What is the equivalent annual uniform payment of the loan? End of Year Payment 1 P 7,000 2 P 6,500 3 P 6.000 4 P 5,500 5 P 5.000 6 P 4,500 7 P 4,000 a. P 5365.80 b. P 5333.00 c. P 6475.12 d. P 5775.08 PLEASE SHOW YOUR SOLUTIONS. THANK YOU!
(a) A debt of $24,000, which is due 8 years from now, is instead to be paid off by four payments: $8000 now, $4000 in 4 years, $5000 in 6 years, and a final payment at the end of 8 years. What would this payment be if an interest rate of 4% compounded semiannually is assumed?
you have just borrowed $51,107 at an annual interest of 7.6% and must repay the loan in equal installments at the end of each of the next 7 years. By how much would you reduce the amount you owe (that is, principal) at the end of the first year? (Hint: Compute annual loan payment first and then the loan amortization schedule for the first year.) Group of answer choices $5,798.23 $5,790.23 $5,792.23 $5,796.23 $5,794.23