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What is the Effective Annual Yield in percent when the annual nominal interest rate is 7.042% compounded quarterly?EAY = ___%

What Is The Effective Annual Yield In Percent When The Annual Nominal Interest Rate Is 7042 Compounded QuarterlyEAY class=

Sagot :

Answer:

Given that,

Annual nominal interest rate is 7.042% compounded quarterly

To find the effective annual yield.

Explanation:

The formula for calculating effective annual yield (E) is,

[tex]E=(1+\frac{r}{n})^n-1[/tex]

where r is the interest rate, n is the number of compounds per year.

Here, r=7.042 % and n=4

Substitute the values we get,

[tex]E=(1+\frac{7.042}{100\times4})^4-1[/tex][tex]E=(1+0.017605)^4-1[/tex][tex]E=1.07230154-1[/tex][tex]E=0.07230154[/tex][tex]E=0.07230154\approx7.23\%[/tex]

Effective annual yield is 7.23%

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