10.6k views
4 votes
Determine which is the better investment: 5.02% compounded semiannually or 4.95% compounded quarterly. Round youranswers to 2 decimal places.х$The 5.02% semiannual investment gives an effective rate of %.The 4.95% quarterly investment gives an effective rate of %.Therefore, the (Elija una opción)7investment is a better investment.checkSave for laterDeliver the

Determine which is the better investment: 5.02% compounded semiannually or 4.95% compounded-example-1
Determine which is the better investment: 5.02% compounded semiannually or 4.95% compounded-example-1
Determine which is the better investment: 5.02% compounded semiannually or 4.95% compounded-example-2

1 Answer

6 votes

We will have the following:

*First: We will solve for the first scenario:


r=(1+(0.0502)/(2))^2-1\Rightarrow r\approx0.05083001\ldots
\Rightarrow r\approx0.05

We will solve for the second scenario:


r=(1+(0.0495)/(4))^4-1\Rightarrow r\approx0.0542644766\ldots
\Rightarrow r\approx0.05

From these rates we can see that (If rounded) both rates will be equivalent, but the sligthly better one (If not rounded) would be the second option of compounding.

User Harishsingh Thakur
by
7.1k points