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If a bank compounds savings accounts monthly, the effective annual rate is greater than the nominal rate
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- If a bank compounds savings accounts quarterly, the effective annual rate (EAR) will be greater than the annual percentage rate (APR) True FalseIf interest on a savings account is compounded semiannually, the effective rate of interest will Group of answer choices equal to the nominal rate. lower than the nominal rate. higher than the nominal rate. lower than the simple rate. the same as the simple rate.If a bank compounds savings quarterly, the effective annual rate (EAR) will be greater than the annual percentage rate (APR) True False
- Savings institutions often state a nominal rate, which can be thought of as a simple annual interest rate, and the effective interest rate, which is the actual interest rate earned due to compounding. Given the nominal rate, it is easy to calculate the effective interest rate as follows. Assume that $1 is invested in an account paying an interest rate of 6% compounded monthly. Using the compound interest formula A =P 1+ m with P = 1, r =0.06, m 12, and n 12 0.06 = 12, A =1 + 12 1.0617. So the effective interest rate is 1.0617 - 1 = 0.0617, or 6.17%. Find the effective interest rate for the investments with a nominal yield of 10%, compounded quarterly. The effective annual yield is %. (Round to two decimal places as needed.) Enter your answer in the answer box and then click Check Answer. Check Answer All parts showing Clear All javascript:doExercise(12); avascript:doExercise(14); Type here to searchSavings institutions often state a nominal rate, which can be thought of as a simple annual interest rate, and the effective interest rate, which is the actual interest rate earned due to compounding. Given the nominal rate, it is easy to calculate the effective interest rate as follows. Assume that $1 is invested in an account paying an interest rate of 6% compounded monthly. Using the compound interest formula A = P 1+ with P 0.06) 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 investments with a nominal yield of 10%, compounded quarterly. s 1.0617. So the effective interest 12 The effective annual yield is%. (Round to two decimal places as needed.)1. Using the example of a savings account, explain the difference between the effective annual rate and the annual percentage rate
- 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 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.A bank pays 5% with daily compounding on its savings accounts. Should it advertisethe nominal or effective rate if it is seeking to attract new deposits?
- Suppose a credit card has anAPR of 30.07% and changes itscompounding period frommonthly to daily. What willhappen to the effective interestrate charged by the credit card?which of the following banks would you choose for a savings account based on the following rates offered? 1. 6% APR compounded annually 2. 5% APR compounded annually 3. 5% APR compounded semi-annually 4. 4% APR compounded weekly 5. 6% APR compounded quarterly.What effective annual rate can a bank earn on an APR of 10.5 percent, compounded monthly? Can the excel and calculator solution be provided?