Math Problem Statement
An investment had a nominal return of 10.2 percent last year. The inflation rate was 3.7 percent. What was the real return on the investment?
Multiple Choice
14.28%
5.90%
6.27%
6.96%
10.09%
Solution
To find the real return on an investment, we use the Fisher equation, which accounts for the impact of inflation. The formula is:
Given:
- Nominal Return = 10.2% = 0.102
- Inflation Rate = 3.7% = 0.037
Substitute the values into the equation:
Let's calculate it.
Converting to percentage:
Therefore, the real return on the investment is 6.27%.
The correct answer is:
6.27%
Would you like more details or have any other questions?
Here are 5 related questions for deeper understanding:
- How does inflation impact the real return on investment?
- Can the real return ever be higher than the nominal return?
- How does compounding affect the real return over multiple years?
- What is the relationship between interest rates and inflation in real returns?
- How do you calculate nominal returns for multiple investment periods?
Tip: The real return reflects the true increase in purchasing power, while the nominal return doesn't account for inflation.
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Math Problem Analysis
Mathematical Concepts
Inflation
Nominal Return
Real Return
Percentage
Formulas
Real Return = (1 + Nominal Return) / (1 + Inflation Rate) - 1
Theorems
Fisher Equation
Suitable Grade Level
Grades 10-12
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