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+ with P = 1, r = 0.06, m = 12, and n = 12, 0.06) 12 12 yield of 6%, compounded twice a year. A = |1+ 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 ..... The effective annual yield is%. (Round to two decimal places as needed.)

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Chapter6: Exponential And Logarithmic Functions
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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=P1+rmn​, with P​ = 1, r​ = 0.06, m​ = 12, and n​ = 12, A=1+0.061212≈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 6%​, compounded twice a year.
 
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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+
, with P = 1, r = 0.06, m = 12, and n = 12,
0.06) 12
+
12
A=
z 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 6%, compounded twice a year.
......
The effective annual yield is%.
(Round to two decimal places as needed.)
Transcribed Image Text: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+ , with P = 1, r = 0.06, m = 12, and n = 12, 0.06) 12 + 12 A= z 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 6%, compounded twice a year. ...... The effective annual yield is%. (Round to two decimal places as needed.)
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