Math Problem Statement
If the nominal one-year interest rate is 9.47% and expected inflation is 6.93% then what is the expected increase in purchasing power from saving for one year?
Solution
To determine the expected increase in purchasing power, we can use the Fisher equation, which relates nominal interest rates, real interest rates, and inflation:
Where:
- is the real interest rate (the expected increase in purchasing power),
- is the nominal interest rate (9.47% or 0.0947),
- is the expected inflation rate (6.93% or 0.0693).
We can solve for the real interest rate :
Substituting the values:
So, the expected increase in purchasing power from saving for one year is approximately 2.38%.
Would you like more details or have any questions?
Here are 5 related questions:
- How does the real interest rate affect long-term savings?
- What happens if inflation exceeds the nominal interest rate?
- How would deflation affect the Fisher equation?
- What assumptions are made when using the Fisher equation?
- How can changes in inflation expectations impact investment decisions?
Tip: A positive real interest rate indicates that your purchasing power increases, meaning your savings will grow in value relative to inflation.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Interest Rates
Inflation
Real Interest Rate
Formulas
Fisher equation: 1 + r = (1 + i) / (1 + π)
Real interest rate formula: r = (1 + i) / (1 + π) - 1
Theorems
Fisher Equation
Suitable Grade Level
College-level Economics or Finance
Related Recommendation
Calculate Inflation Rate Using Fisher Equation: Nominal Interest 5% and Real Interest 7%
Calculate Nominal Rate Using Fisher Effect - Real Rate 9.5% and Inflation Rate 4%
Calculate the Real Rate of Interest Using the Fisher Equation
Calculating Purchasing Power with Inflation and Real Interest Rates
Real Ex Ante Interest Rate Calculation Using Fisher Equation