Savings institutions often state a nominal rate, which can be thought of as a simpleannual interest rate, and the effective interest rate, which is the actual interest rateearned due to compounding. Given the nominal rate, it is easy to calculate the effectiveinterest rate as follows. Assume that $1 is invested in an account paying an interest rateof 6% compounded monthly. Using the compound interest formula A = P 1+with P0.06) 12= 1, r = 0.06, m = 12, and n = 12, A = |1+rate is 1.0617 -1= 0.0617, or 6.17%. Find the effective interest rate for the investmentswith a nominal yield of 10%, compounded quarterly.s 1.0617. So the effective interest12The effective annual yield is%.(Round to two decimal places as needed.)

The effective annual interest rate refers to the rate that is actually earned on an investment or…

Answered: Savings institutions often state a…

EBK CONTEMPORARY FINANCIAL MANAGEMENT

14th Edition

ISBN:9781337514835

Author:MOYER

Publisher:MOYER

Chapter16: Working Capital Policy And Short-term Financing

Section: Chapter Questions

Problem 14P

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The effective annual rate of interest on a bank account is 2.5% and the general rate of inflation is 4%. b) Using the information provided directly above, explain the concept of a ‘real rate of return’.
A bank pays a simple interest rate of 4.1% on 30 to 179-day GICs of at least $100,000. What is the effective annualized rate of return:a) On a 40-day GIC?b) On a 160-day GIC?
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%?
Assume inflation is 2.60% and the nominal (annual) interest rate is 6.35%. If the interest rate is held constant, but inflation rises to 5.25%, does it cost more or less in real terms to borrow money than when the inflation rate was 2.60%? Explain your answer and make sure to include your real interest rates in both situations to earn full credit.
A bank quotes you an interest rate of 6.6% per annum with quarterly compounding. What is the equivalent rate with annual compounding? Enter your answer in percentage rounded to two decimals places (e.g, 15.45%)
A bank features a savings account that has an annual percentage rate of r=3.1r=3.1% with interest compounded quarterly. Breanna deposits $6,500 into the account. The account balance can be modeled by the exponential formula S(t)=P(1+rn)ntS(t)=P(1+rn)nt, where SS is the future value, PP is the present value, rr is the annual percentage rate written as a decimal, nn is the number of times each year that the interest is compounded, and tt is the time in years. (A) What values should be used for PP, r, and nn? P=P= , r=r= , n=n= (B) How much money will Breanna have in the account in 88 years? Answer = $ . Round answer to the nearest penny.
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.)
A bank features a savings account that has an annual percentage rate of r=3.4% with interest compounded weekly. Alfonso deposits $11,500 into the account. The account balance can be modeled by the exponential formula S(t)=P(1+r/n)^nt, where S is the future value, P is the present value, rr is the annual percentage rate, nn is the number of times each year that the interest is compounded, and tt is the time in years. What values should be used for P, r, and n?P= , r= , n= How much money will Alfonso have in the account in 10 years?Answer = $ .Round answer to the nearest penny. What is the effective annual rate for the savings account?effective rate = %.Round answer to 3 decimal places.
A lending institution charges interest at the rate of 3.5% per quarter, a. What is the nominal interest rate? b. What is the effective annual interest rate? c. What is the effective semiannual interest rate?
A KIMEP BANK quotes you and interest rate of 12,5% per annum with semiannual compounding. What is the equivalent rate with annual compounding and continuous compounding? Choose the right answer: a. The rate with annual compounding is 12.89% and the rate with continuous compounding is 12.12% b. The rate with annual compounding is 12.12% and the rate with continuous compounding is 9.57% c. The rate with annual compounding is 10.28% and the rate with continuous compounding is 12.89% d. The rate with annual compounding is 10.38% and the rate with continuous compounding is 12.12%
. If a bank advertises a savings account that paysan 8% nominal interest rate compounded continuously, what is the effective annual percentage rate
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.

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