Hong received a $1700 bonus. He decided to invest it in a 5 year certificate of deposits (CD) with an annual interest rate of 1.53% compounded monthly.

Hong received a 1700 bonus He decided to invest it in a 5 year certificate of deposits CD with an annual interest rate of 153 compounded monthly class=

Respuesta :

Remember that

The compound interest formula is equal to

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  in decimal

t is the number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

P=$1,700

t=5 years

r=1.53%=1.53/100=0.0153

n=12

Part A

substitute the given values

[tex]\begin{gathered} A=1,700(1+\frac{0.0153}{12})^{12*5} \\ \\ A=1,700(1.001275)^{60} \end{gathered}[/tex]

A=$1,835.06

therefore

The answer to Part A is $1,835.06

Part B'

Find out the interest

I=A-P

substitute given values

I=$1,835.06-$1,700

I=$135.06

The answer to Part B is $135.06