Answer:
$2191.12
Explanation:
We are asked to find the value of a bond after 10 years, if you invest $1000 in a savings bond that pays 4% interest, compounded semi-annually.
FV=C_0\times (1+r)^n, where,
C_0=\text{Initial amount},
r = Rate of return in decimal form.
n = Number of periods.
Since interest is compounded semi-annually, so 'n' will be 2 times 10 that is 20.
4\%=\frac{4}{100}=0.04
FV=\$1,000\times (1+0.04)^{20}
FV=\$1,000\times (1.04)^{20}
FV=\$1,000\times 2.1911231430334194
FV=\$2191.1231430334194
FV\approx \$2191.12
Therefore, the bond would be $2191.12 worth in 10 years.
