Khadija Wells

2021-08-17

The closed nominal annual rate of return.

Given: Initial Cost is $1000.

Future cost is $2500.

Interest is compounded quarterly.

The time period is 5 years.

Given: Initial Cost is $1000.

Future cost is $2500.

Interest is compounded quarterly.

The time period is 5 years.

broliY

Skilled2021-08-18Added 97 answers

Calculation:

Write the expression to calculate the future value.

$F=P{(1+i)}^{n}$ .......(I)

Here, the future value is F, the present value is P, the rate of interest is i and the time period is n.

Substitute $1000 for P, $2500 for F and 20 for n in Equation (I).

$\mathrm{\$}2500=\mathrm{\$}1000{(1+i)}^{20}}$

$i={\left(2.5\right)}^{\frac{1}{20}-1}$

$i=0.0468\times 100\mathrm{\%}$

$i\approx 4.7\mathrm{\%}$

Conclusion:

Thus, the correct answer is option (b)$4.7\mathrm{\%}$ .

Write the expression to calculate the future value.

Here, the future value is F, the present value is P, the rate of interest is i and the time period is n.

Substitute $1000 for P, $2500 for F and 20 for n in Equation (I).

Conclusion:

Thus, the correct answer is option (b)

$\frac{20b}{{\left(4{b}^{3}\right)}^{3}}$

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