In a discount interest loan, you pay the interest payment up front. For example, if a 1-year loan is stated as $10,000 and the interest rate is 10%, the borrower "pays" .10 × $10,000 = $1,000 immediately, thereby receiving net funds of $9,000 and repaying $10,000 in a year. a. What is the effective interest rate on this loan? (Round your answer to 2 decimal places.) b. If you call the discount d (for example, d = 10% using our numbers), express the effective annual rate on the loan as a function of d. c. Is the effective annual rate always greater than the stated rate d?

In a discount interest loan, you pay the interest payment up front. For example, if a 1-year loan is stated as $10,000 and the interest rate is 10%, the borrower "pays" .10 × $10,000 = $1,000 immediately, thereby receiving net funds of $9,000 and repaying $10,000 in a year. a. What is the effective interest rate on this loan? (Round your answer to 2 decimal places.) b. If you call the discount d (for example, d = 10% using our numbers), express the effective annual rate on the loan as a function of d. c. Is the effective annual rate always greater than the stated rate d?

EBK CONTEMPORARY FINANCIAL MANAGEMENT

14th Edition

ISBN:9781337514835

Author:MOYER

Publisher:MOYER

Chapter19: Lease And Intermediate-term Financing

Section: Chapter Questions

Problem 14P

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In a discount interest loan, you pay the interest payment up front. For example, if a 1-year loan is stated as $34,000 and the interest rate is 9.50%, the borrower “pays” 0.0950 × $34,000 = $3,230 immediately, thereby receiving net funds of $30,770 and repaying $34,000 in a year. A. What is the effective interest rate on this loan? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.) B. What is the effective annual rate on a 1-year loan with an interest rate quoted on a discount basis of 19.50%? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.)
4. If you know the simple interest due on a P10 000 loan, explain how you can use that figure to calculate the simple interest due on a P50 000 loan for the same time period and the same interest rate. 5. If the principal of a loan is doubled but the time period and interest rate remain the same, how many times as large is the simple interest due on the loan? 6. If the principal of a loan is tripled but the time period and interest rate remain the same, how many times as large is the simple interest due on the loan?
2a) Consider a 4-year loan of $5,000 which you will pay back in 4 equal annual payments. If the loan has an 8% annual interest rate over the 4-year period, what would the size of each payment be? 2b) Of the payment you calculated for the first part of this question, how much of that payment would be the interest for the second payment and how much of that payment would be principal repayment for the loan?
What is the yield to maturity (YTM) on a simple loan for $1,000 that requires a repayment of $3,000 in five years' time? The yield to maturity is%. (Round your response to one decimal place.)
3. Suppose you are considering a PLAM with the following characteristics: Mortgage Amount = $175,000 30-Year Term Monthly Payments Current Real Rate = 5.50 percent Expected Inflation Rates: EOY1 = 3%, EOY2 = -2%, EOY3 thru EOY30 = 0% Annual Payment Adjustments A. What is the APR of this loan? Answer: B. What is the effective cost if the loan is repaid at the end of year 2? Answer: C. Suppose that, instead of repaying the loan, you continue to make the payments and your monthly payment in year 4 is 1,043.09. What was the inflation rate for year 3? Answer:
Suppose you purchase a home and obtain a 15-year fixed-rate loan of $195,000 at an annual interest rate of 6.0%. a) What is your monthly payment? N: months I %: P.V: $ PMT: $ F.V: 0 P/Y: 12 C/Y: 12 b) Of the first month's mortgage payment, how much is interest? HINT: I=Prt Interest: I=$ c) Of the first month's mortgage payment, how much is applied to the principal? HINT: PMT - Interest Amount Applied to Principal: $ d) How much is your outstanding balance after the first month’s payment? HINT: Principal - Amount Applied to Principal Outstanding Balance after first payment: $
(Ch 11 #9) There is a loan obligation to pay $1000 one year from today and another $1000 two years from today. Assuming the annual effective rate of interest is 10%, find the following: a) Macaulay duration of the loan. b) Modified duration of the loan. c) Convexity of the loan.
What is the maturity value on a 6-year loan for S7, 585 if the annual simple interest rate is 6.1%? Round your answer to the nearest dollar.
3. A. Explain the difference between Installment Loan and Mortgage Loan. B. You are offered a simple interest of 8 % on a sum of OMR 20,000 for 4 years and at a compound interest rate of 6% per annum, compounded annually. Which of the two options is beneficial for you? (Show your Workings).
14. You have an option to lend $1,250 at 7.5% interest for 60 days. 14a. If you charge ordinary interest, how much will you earn? 14b. If you charge exact interest, how much will you earn? 14c. If you were borrowing the money, would you prefer to pay ordinary interest or exact interest? Why?
Use the formula A = P(1 + rt) to calculate the maturity value of the simple interest loan. (Round your answer to two decimal places.) P = $2600, r = 9.4%, t = 5 months
4) I have an NOI of$172,400. The lender indicated that I can borrow funds at a 7.0% interest rate with a 25 year amortization and 5 year term at a 1.20 Debt Service Ratio(DCR). The lender will charge 2 points. a. What is the monthly payment? b.What is the APR (annual percentage rate) if fully amortized? C.What is the APR at the end of the loan term? d.What if I pay the loan off at the end of the second year, what is my APR? e.What if there was a prepayment penalty of 1.5% at the end of year 4, what is myAPR?