Banks sometimes quote interest rates in the form of “add-on interest.” In this case, if a 1-year loan is quoted with an interest rate of 8.0% and you borrow $1,000, then you pay back $1,080. But you make these payments in monthly instalments of $108 each. a) What is the true APR on this loan? b) What is the effective annual rate on the loan?

Banks sometimes quote interest rates in the form of “add-on interest.” In this case, if a 1-year loan is quoted with an interest rate of 8.0% and you borrow $1,000, then you pay back $1,080. But you make these payments in monthly instalments of $108 each. a) What is the true APR on this loan? b) What is the effective annual rate on the loan?

Pfin (with Mindtap, 1 Term Printed Access Card) (mindtap Course List)

7th Edition

ISBN:9780357033609

Author:Randall Billingsley, Lawrence J. Gitman, Michael D. Joehnk

Publisher:Randall Billingsley, Lawrence J. Gitman, Michael D. Joehnk

Chapter7: Using Consumer Loans

Section: Chapter Questions

Problem 7FPE: Calculating interest and APR of installment loan. Assuming that interest is the only finance charge,...

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Calculating interest and APR of installment loan. Assuming that interest is the only finance charge, how much interest would be paid on a 5,000 installment loan to be repaid in 36 monthly installments of 166.10? What is the APR on this loan?
Banks sometimes quote interest rates in the form of “add-on interest.” In this case, if a 1-year loan is quoted with an interest rate of 8.0% and you borrow $1,000, then you pay back $1,080. You make these payments in monthly instalments of $108 each. 1) What is the true APR on this loan? 2) What is the EAR on the loan?
Banks sometimes quote interest rates in the form of “add-on interest.” In this case, if a 1-year loan is quoted with an interest rate of 8.0% and you borrow $1,000, then you pay back $1,080. But you make these payments in monthly instalments of $108 each. 1) What is the true APR on this loan? 2) What is the effective annual rate on the loan? Please show workings with formulas.
Banks sometimes quote interest rates in the form of “add-on interest.” In this case, if a 1-year loan is quoted with an interest rate of 8.0% and you borrow $1,000, then you pay back $1,080. But you make these payments in monthly instalments of $108 each. a) What is the true APR on this loan? (want to learn via Excel) b) What is the effective annual rate on the loan?
In a discount interest loan, you pay the interest payment up front. For example, if a 1-year loan is stated as $42,000 and the interest rate is 8.50%, the borrower “pays” 0.0850 × $42,000 = $3,570 immediately, thereby receiving net funds of $38,430 and repaying $42,000 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 18.50%? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.)
Suppose that you want to take out a loan and that your local bank wants to charge you an annual real interest rate equal to 3%. Assuming that the annualized expected rate of inflation over the life of the loan is 1%, determine the nominal interest rate that the bank will charge you. What was the actual real interest rate on the loan if, over the life of the loan, actual inflation is 0.5%?
Many lending agencies compound interest more often than yearly, and as we noted in Example P.2, they are required to report the annual percentage rate, or APR, in a prominent place on the loan agreement. Furthermore, they are required to calculate the APR in a specific way. If r is the monthly interest rate, then the APR is calculated using APR = 12 ✕ r. (a) Suppose a credit card company charges a monthly interest rate of 1.8%. What APR must the company report? (Round your answer to the nearest tenth of a percent.) %(b) The phrase annual percentage rate leads some to believe that if you borrow $5000 from a credit card company which quotes an APR of 21.6%, and if no payments are made, then at the end of 1 year interest would be calculated at 21.6% simple interest on $5000. How much would you owe at the end of a year if interest is calculated in this way? (Round your answer to the nearest cent.)$ (c) If interest is compounded monthly (which is common), then the actual amount you would…
You've borrowed $6,903.71 and agreed to pay back the loan with monthly payments of $270. Assume the interest rate is 15% stated as an APR. a. How long will it take you to pay back the loan? Note: Do not round intermediate calculations. Round your answer to the nearest whole number. Number of months b. What is the effective annual rate on the loan? Note: Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places. Effective annual rate %
To payoff a loan of $1000 you need to make 40 payment of $36.56 per month. What rate of interest are you paying? What is the stated or quoted rate? What is the annual percentage rate? What is the effective annual rate? What rate is bank likely to use to state its rate?
Assuming that the interest is the only finance charge, how much interest would be paid on a 5,000 installment loan to be repaid in 36 monthly installments 166.10? What is the APR on this loan?
(Compound interest with nonannual periods) After examining the various personal loan rates available to you, you find that you can borrow funds from a finance company at an APR of 6 percent compounded quarterly or from a bank at an APR of 7 percent compounded monthly. Which alternative is more attractive? a. If you borrow $100 from a finance company at an APR of 6 percent compounded quarterly for 1 year, how much do you need to payoff the loan? $nothing (Round to the nearest cent.)
A payday lender lends money on the following terms: “If I give you $100 today, you will write me a check for $120, which you will redeem or I will cash on your next payday.” Noting that calculated rates would be even higher for closer paydays, assume that the payday is two weeks away. (a) What nominal interest rate per year (r) is the lender charging? (b) What effective interest rate per year (ia) is the lender charging? (c) If the lender started with $100 and was able to keep it, as well as all the money received, loaned out at all times, how much money does the lender have at the end of one year?