Math Problem Statement
Suppose the real rate is 3.75 percent and the inflation rate is 1.5 percent. What rate would you expect to see on a Treasury bill?
Solution
To find the nominal interest rate (the rate expected on a Treasury bill), you can use the Fisher equation:
Where:
- is the nominal interest rate (the rate you expect to see on the Treasury bill),
- is the real interest rate (3.75% or 0.0375),
- is the inflation rate (1.5% or 0.015).
Let's calculate :
Converting this to a percentage:
So, the nominal interest rate you would expect to see on the Treasury bill is 5.31%.
Would you like further details or have any questions?
Here are some related questions:
- How does the Fisher equation relate real and nominal interest rates?
- How would the Treasury bill rate change if inflation were higher?
- What assumptions does the Fisher equation rely on?
- Can nominal interest rates be negative?
- How do inflation expectations impact bond prices?
Tip: Always adjust for inflation when comparing returns over time, as real interest rates account for the eroding effect of inflation on purchasing power.
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Math Problem Analysis
Mathematical Concepts
Interest Rates
Fisher Equation
Inflation Adjustment
Formulas
(1 + i) = (1 + r)(1 + π)
Theorems
Fisher Equation
Suitable Grade Level
Grades 11-12 or College Level
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