CFA Level 1: Calculate Nominal Interest Rate

Calculate Nominal Interest Rate

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Question

The real risk free rate is 6% per year and the expected inflation rate is 2% per year. What is the annual nominal rate of interest?

Answers

Explanations

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A. B. C. D.

B

Nominal rate = (1.06)*(1.02)=8.1%.

To calculate the annual nominal rate of interest, we need to add the real risk-free rate and the expected inflation rate.

Given: Real risk-free rate = 6% per year Expected inflation rate = 2% per year

The real risk-free rate represents the return on an investment with zero risk, adjusted for inflation. In this case, it is 6% per year.

The expected inflation rate represents the rate at which prices are expected to rise over the given period. In this case, it is 2% per year.

To find the nominal rate of interest, we add the real risk-free rate and the expected inflation rate:

Nominal rate of interest = Real risk-free rate + Expected inflation rate

= 6% + 2%

= 8%

Therefore, the annual nominal rate of interest is 8%.

The correct answer is option D: 8%.