Answer to Question #265624 in Financial Math for sumu

Question

Find the accumulate amount of

(a) $600 earns simple interest at 5% p.a. over 7 years.

(b) $480 compounded annually at 14% p.a. over 5 years

(c) $1,500 compounded semi-annually at 8% p.a. over 3 years.

(d) $2,000 compounded quarterly at 10% p.a. over 4 years.

(e) $500 compounded monthly at 12% p.a. over 6 years.

Answer 1

a)

$I=PRT =600×\frac{5}{100}×7 = \$210$

b) compounded annually, n =1

$A=P(1+\frac{r}{n})^{nt}$

$=480(1+\frac{14}{100})^{5}= \$924.199$

c) compounded semi-annually,n=2

$A=P(1+\frac{r}{n})^{nt}$

$=1500(1+\frac{0.08}{2})^{2×3}$

$=1500(1.04)^6 = \$1897.979$

d) compounded quarterly,n=4

$A=P(1+\frac{r}{n})^{nt}$

$=2000(1+\frac{0.1}{4})^{4×4}$

$=2000(1.025)^{16} = \$2969.011$

e) compounded monthly, n=12

$A=P(1+\frac{r}{n})^{nt}$

$=500(1+\frac{0.12}{12})^{12×6}$

$=500(1.01)^{72}= \$1023.550$