Is 10% per year the same as having two 5% payments semianually ?: PV rate nper FV 1 1% 1 PV rate nper FV 1 5% 2 Quoting of Interest Rates does have an effect on the amount of money you receive at the end of a period if Quoted 25% APR monthly APR= APR = EAR = EXCEL = EFFECT To convert EAR to APR = NOMINAL 25% per month Credit Card Co charges an interest rate of 3% percent per month on loans to its customers. Like all lenders, they must report an APR to consumers. What is the APR? What is the Effective Rate? APR EAR
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Is 10% per year the same as having two 5% payments semiannually? No, 10% per year is not the same as having two 5% payments semiannually. When interest is compounded semiannually, the effective annual interest rate is slightly higher than the nominal rate. In this Show more…
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Find the APR, or stated rate, in each of the following cases. (Use 365 days in a year. Enter rounded answers as directed, but do not use rounded numbers in intermediate calculations. Enter your answers as a percent rounded to 2 decimal places (e.g., 32.16).) Stated Rate (APR) Number of Times Compounded Effective Rate (EAR) % Semiannually 13.75 % % Monthly 9.75 % Weekly 11.25 % Daily 9.25
Haricharan G.
Recall that the APR (the annual percentage rate) is the percentage rate on a loan that the Truth in Lending Act requires lending institutions to report on loan agreements. It does not directly tell what the interest rate really is. If you borrow money for 1 year and make no payments, then in order to calculate how much you owe at the end of the year, you must use another interest rate, the EAR (the effective annual rate), which is not normally reported on loan agreements. The calculation is made by adding the interest indicated by the EAR to the amount borrowed. The relationship between the APR and the EAR depends on how often interest is compounded. If you borrow money at an annual percentage rate APR (as a decimal), and if interest is compounded n times per year, then the effective annual rate EAR (as a decimal) is given by the following formula. EAR = (1 + APR/n)^n - 1 For the remainder of this problem, we will assume an APR of 10%. Thus in the formula above, we would use 0.1 in place of APR. (a) Would you expect a larger or smaller EAR if interest is compounded more often? Explain your reasoning. (b) Make a table that shows how the EAR depends on the number of compounding periods. Use your table to report the EAR if interest is compounded once each year, monthly, and daily. (Note: The formula will give the EAR as a decimal. You should report your answer as a percent with three decimal places.) yearly: % monthly: % daily: % (c) If you borrow $5240 and make no payments for 1 year, how much will you owe at the end of a year if interest is compounded monthly? If interest is compounded daily? (Round your answers to the nearest cent.) monthly: $ daily: $ (d) If interest is compounded as often as possible—that is, continuously—then the relationship between APR and EAR is given by the formula below. EAR = e^(APR) - 1 Again using an APR of 10%, compare the EAR when the interest is compounded monthly with the EAR when the interest is compounded continuously. (Round your answers to three decimal places.) monthly: % continuously: %
Sri K.
Find the APR, or stated rate, in each of the following cases (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.): Stated Rate (APR) Number of Times Compounded: Semiannually, Monthly, Weekly, Infinite Effective Rate (EAR): 11.2 %, 12.1, 9.8, 13.5
David N.
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