Math Problem Statement
What would you expect the nominal rate of interest to be if the real rate is
3.73.7
percent and the expected inflation rate is
6.76.7
percent?
Question content area bottom
Part 1
The nominal rate of interest would be
enter your response here%.
(Round to two decimal places.)
Solution
To calculate the nominal rate of interest, we use the Fisher Equation:
Where:
- is the nominal interest rate,
- is the real interest rate (expressed as a decimal),
- is the expected inflation rate (expressed as a decimal).
Given:
- or ,
- or .
Calculation:
-
Calculate the direct sum of the real rate and inflation rate:
-
Calculate the interaction term :
-
Add the components together to find :
-
Convert to a percentage and round to two decimal places:
Final Answer:
The nominal rate of interest would be 10.68%.
Would you like additional explanations or examples? Here are 5 related questions:
- How does the Fisher Equation account for inflation in interest rate calculations?
- If the inflation rate doubles, how would the nominal interest rate change?
- Why is the interaction term included in the calculation?
- How does a negative inflation rate (deflation) affect the nominal rate?
- What is the difference between real and nominal interest rates in practice?
Tip: Always express rates as decimals during calculations to avoid errors when using percentages!
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Interest Rates
Inflation Adjustment
Financial Mathematics
Formulas
Fisher Equation: i = r + π + (r × π)
Theorems
Fisher Effect Theorem
Suitable Grade Level
Undergraduate Level or Advanced High School (Grades 11-12)
Related Recommendation
Calculate the Real Rate of Interest Using the Fisher Equation
Calculate Real Interest Rate from Nominal Rate of 7.5% and Inflation Rate of 4.1%
Calculate Nominal Interest Rate using Fisher Equation - Step-by-Step Guide
Calculate Nominal Rate on Treasury Bill Using Fisher Equation
Calculate Nominal Interest Rate Using Real Interest Rate and Inflation Rate