4
QuizMultiple Choice

Inflation and the CPI — Quiz

Question 4 • Financial Math

David invests $50,000 in a bond that pays no interest over 10 years. During this time, inflation is constant at 2.5% per year. What will the present value of the $50,000 investment be at the end of the 10 years? Use this formula to calculate the present value while accounting for inflation: present value is equal to the fraction with numerator future value and denominator open paren 1 plus annual inflation rate close paren to the number of years th power

Answer
A
64 dollars comma 004 point 2 8
B
50 dollars comma 000 point 0 0
C
45 dollars comma 000 point 0 0
D
$39,059.92

Explanation

Use the inflation-adjusted present value formula: $50,000 ÷ (1 + 0.025)^10. The inflation factor is about 1.28008, so $50,000 ÷ 1.28008 ≈ $39,059.92. Therefore, the present value is $39,059.92, choice C.

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