Try Magic Notes and save time.Try it free
Try Magic Notes and save timeCrush your year with the magic of personalized studying.Try it free
Question

Investigate the difference between compounding annually and simple interest. Round to the nearest cent. Find the interest for a 3-year CD for $5,000 at an interest rate of 2.5%, compounded annually.

Solution

Verified
Answered 2 years ago
Answered 2 years ago
Step 1
1 of 2

We have to Find the interest for a 3-year CD for 5,0005,000 USD at an interest rate of 2.5%2.5\%, compounded annually.First we have to calculate balans and then we calculate interest like a difference betwen balanse and principal. We calculate balanse using a equation,

B=P(1+rn)nt\begin{align*} B=P\left(1+\dfrac{r}{n}\right)^{n\cdot t} \end{align*}

where is PP principal, rr is interest rate, nn is number of times interest is compounded annualy, tt is time in number of year. How is 50005000, r=0.025r=0.025, n=1n=1, and t=3t=3, so we calculte,

B=5000(1+0.0251)3=5384.45USD\begin{align*} B=5000\left(1+\dfrac{0.025}{1}\right)^{3}=5384.45\,\,\text{USD} \end{align*}

And interest is,

I=BP=5384.455000=384.45USD\begin{align*} I=B-P=5384.45-5000=384.45\,\,\text{USD} \end{align*}

Create an account to view solutions

Create an account to view solutions

Recommended textbook solutions

Financial Algebra 1st Edition by Richard Sgroi, Robert Gerver

Financial Algebra

1st EditionISBN: 9780538449670Richard Sgroi, Robert Gerver
2,606 solutions
Financial Algebra, Workbook 1st Edition by Richard Sgroi, Robert Gerver

Financial Algebra, Workbook

1st EditionISBN: 9780538449700Richard Sgroi, Robert Gerver
773 solutions
Financial Algebra: Advanced Algebra with Financial Applications 2nd Edition by Richard Sgroi, Robert Gerver

Financial Algebra: Advanced Algebra with Financial Applications

2nd EditionISBN: 9781337271790Richard Sgroi, Robert Gerver
3,016 solutions
Practice Problems for Financial Algebra: Advanced Algebra with Financial Applications 2nd Edition by Robert Gerver

Practice Problems for Financial Algebra: Advanced Algebra with Financial Applications

2nd EditionISBN: 9781337271820Robert Gerver
898 solutions

More related questions

1/4

1/7