FV of $600 each 6 months for 5 years at a nominal rate of 12%, compounded semiannually. Do not round intermediate calculations. Round your answer to the nearest cen

Respuesta :

Answer:

Amount after 5 year will be $1074.5

Explanation:

We have given principal amount P = $600

Time t = 5 year

Rate of interest r = 12%

It is given that amount is compounded semiannually

So time period = 5×2 = 10 period

And rate of interest semiannually will be [tex]=\frac{12}{2}=6[/tex] %

We have to find future value after 5 year

Future value is given by [tex]A=P(1+\frac{r}{100})^n[/tex]

So [tex]A=600\times (1+\frac{6}{100})^{10}[/tex]

[tex]=600\times1.06^{10}[/tex]

[tex]=600\times1.79=1074.5[/tex]

So amount after 5 year will be $1074.5