Time value of money worksheet with answers

Free printable Time value of money worksheet: 6 problems from easy to exam level, with an answer key. Print it or save it as a PDF.

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Name: ____________________ Date: ____________

1.Easy

You deposit €10 000 in a savings account that pays 3.5% interest per year, compounded annually. How much is in the account after 10 years? Find the future value FV.

PV = €10 000i = 3.5%n = 10

FV = €

2.Easy

You deposit €10 000 in a savings account that pays 4.5% interest per year, compounded annually. How much is in the account after 12 years? Find the future value FV.

PV = €10 000i = 4.5%n = 12

FV = €

3.Medium

A property is expected to earn net rent of €20 000 next year. The rent is expected to grow by 1.5% per year forever. The required return is 3.5% per year. Find the value PV of the property today.

C₁ = €20 000g = 1.5%r = 3.5%

PV = €

4.Medium

An annuity pays €8 000 at the end of each year for 15 years. The interest rate is 4% per year. Find the present value PV of the annuity.

A = €8 000i = 4%n = 15

PV = €

5.Hard

You want €50 000 in 5 years. You save the same amount at the end of every month in an account paying 4.8% per year, compounded monthly. Find the monthly deposit A.

FV = €50 0004.8% / 12N = 60

A = €

6.Hard

A loan of €8 000 is repaid with equal monthly payments over 3 years. The interest rate is 5.4% per year, compounded monthly. Find the monthly payment A.

P = €8 0005.4% / 12N = 36

A = €

Answer key

1. FV = 14106 €
2. FV = 16959 €
3. PV = 1 × 10⁶ €
4. PV = 88947 €
5. A = 739 €
6. A = 241.2 €

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