Answer:
*Nominal Interest Rate
*Can
*EAR
*Annual
*Higher
Explanation:
Here is the complete question;
Different compounding periods, are used for different types of investments. In order to properly compare investments or loans with different compounding periods, we need to put them on a common basis. In order to do this, you need to understand the difference between the nominal interest rate (INOM) and the effective annual rate (EAR). The__________ interest rate is quoted by borrowers and lenders, and it is also called the annual percentage rate (APR). If the compounding periods for different securities is the same, then you____________ use the APR for comparison. If the securities have different compounding periods, then the____________ must be used for comparison. Here, M is the number of compounding periods per year and INOM/M is equal to the periodic rate (IPER). If a loan or investment uses___________ compounding, then the nominal interest rate is also its effective annual rate. However, if compounding occurs more than once a year, EAR is___________ INOM. Quantitative Problem: Bank 1 lends funds at a nominal rate of 6% with payments to be made semiannually. Bank 2 requires payments to be made quarterly. If Bank 2 would like to charge the same effective annual rate as Bank 1, what nominal interest rate will they charge their customers? Round your answer to three decimal places. Do not round intermediate calculations.__________ %
Different compounding periods, are used for different types of investments. In order to properly compare investments or loans with different compounding periods, we need to put them on a common basis. In order to do this, you need to understand the difference between the nominal interest rate (INOM) and the effective annual rate (EAR). The____Nominal______ interest rate is quoted by borrowers and lenders, and it is also called the annual percentage rate (APR). If the compounding periods for different securities is the same, then you_____can_______ use the APR for comparison. If the securities have different compounding periods, then the_______EAR_____ must be used for comparison. Here, M is the number of compounding periods per year and INOM/M is equal to the periodic rate (IPER). If a loan or investment uses____annual______ compounding, then the nominal interest rate is also its effective annual rate. However, if compounding occurs more than once a year, EAR is______higher_____ INOM. Quantitative Problem: Bank 1 lends funds at a nominal rate of 6% with payments to be made semiannually. Bank 2 requires payments to be made quarterly. If Bank 2 would like to charge the same effective annual rate as Bank 1, what nominal interest rate will they charge their customers? Round your answer to three decimal places. Do not round intermediate calculations.__________ %
CALCULATION PART
what nominal interest rate will they charge their customers?
Effective annual rate= (1+nominal rate/n)^n -1)
n= compounding period
Effective annual rate=[(1+0.06/2)^2 -1]
[(1+0.06/2)^2 -1]
= (1+0.03)^2 -1
=1.0609-1
=0.0609
= 6.09%
They will charge it 6.09%
There are four quarter in a year which means n=4
Let the nominal rate = x
Using the effective annual rate formula
0.0609=[ (1+x/4)^4 -1]
0.0609+1= (1+x/4)^4
(1.0609)^1/4 = 1+x/4
1.01489= 1+x/4
1.01489-1= x/4
x= 0.01489×4
x= 0.05956×100
x= 5.956%
Hence, effective annual rate for the both banks is 6.09%
While nominal annual rate for bank2 is 5.956%
,