Question

Calculate the FV for the following 3 scenarios. Investment scenario #1:

You invest $1,000 (PV) for 10 years (n) at an interest rate of 5% (r). What is the amount you would receive at
the end of 10 years (FV)?
Investment scenario #2:
You invest $5,000 (PV) for 20 years (n) at an interest rate of 8% (r). What is the amount you would receive at
the end of 20 years (FV)?
Investment scenario #3:
You invest $10,000 (PV) for 30 years (n) at an interest rate of 12% (r). What is the amount you would receive
at the end of 30 years (FV)?
PLEASE ANSWER WITH WORK SHOWN :)

Answer 1

?

Step-by-step explanation:

Answer 2

$2191.12

Step-by-step 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.