Looking for reliable answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Connect with professionals on our platform to receive accurate answers to your questions quickly and efficiently. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

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%