Math Problem Statement
Assume the real rate was 9.5% and the inflation rate was 4%. Using the Fisher Effect, what was the nominal rate?
Multiple Choice
13.88%
12.88%
12.12%
11.50%
9.50%
Solution
The Fisher Effect is used to relate the nominal interest rate, the real interest rate, and the inflation rate. The formula is:
Given:
- Real Rate = 9.5% or 0.095
- Inflation Rate = 4% or 0.04
Now, plug the values into the formula:
So:
The closest answer to this result is 13.88%.
The correct answer is 13.88%.
Would you like more details or have any questions?
Here are 5 related questions to consider:
- How does the Fisher Effect apply in cases of negative inflation rates (deflation)?
- What happens to the nominal rate if inflation significantly increases while the real rate stays constant?
- Can the Fisher Effect be used for short-term interest rates, and why?
- How would the nominal rate change if the real rate was instead 8% with the same inflation rate?
- What are some real-world examples where the Fisher Effect is useful for investors?
Tip: Remember, nominal rates incorporate both the real rate and inflation expectations, so they tend to rise as inflation increases!
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Math Problem Analysis
Mathematical Concepts
Interest Rates
Fisher Effect
Inflation
Formulas
(1 + Nominal Rate) = (1 + Real Rate) × (1 + Inflation Rate)
Theorems
Fisher Effect
Suitable Grade Level
Grades 10-12
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