题目
题目

ECON 13210 94 Introduction to Macroeconomic Models Final Exam

多项选择题

Which of the following are correct expressions of the Fisher equation? (Select all that apply)

选项
A.𝑟 𝑡 ≈ 𝑅 𝑡 − 𝜋 𝑡
B.𝑟 𝑡 ≈ 𝑅 𝑡 + 𝜋 𝑡
C.( 1 + 𝑟 𝑡 ) = ( 1 + 𝑅 𝑡 ) 𝑃 𝑡 + 1 1 𝑃 𝑡
D.( 1 + 𝑟 𝑡 ) = 1 𝑃 𝑡 ( 1 + 𝑅 𝑡 ) 𝑃 𝑡 + 1
E.( 1 + 𝑟 𝑡 ) = ( 1 + 𝜋 𝑡 ) ( 1 + 𝑅 𝑡 )
F.( 1 + 𝑟 𝑡 ) = ( 1 + 𝑅 𝑡 ) ( 1 + 𝜋 𝑡 )
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标准答案
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思路分析
The question asks which expressions are correct representations of the Fisher equation, and to select all that apply. We will evaluate each option in turn to see whether it matches the standard Fisher framework. Option 1: r_t ≈ R_t − π_t. This is the usual first-order approximation derived from (1 + r_t) ≈ (1 + R_t)(1 + π_t). If you expand that product and drop the higher-order term R_t π_t, you indeed get r_t ≈ R_t − π_t. This makes Option 1 a correct approximate expre......Login to view full explanation

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类似问题

If the nominal interest rate is 7% p.a and the real rate of interest is 4% p.a, the expected inflation rate will be approximately

Now assume that 𝑟 ¯ = 1 % and 𝜋 ¯ = 2.5 % . Using your answer from the previous question, you know that the nominal interest rate 𝑖 𝑡 = 𝑅 𝑡 + 𝜋 𝑡 is ______ percent. Use the policy rule and the Fischer equation to answer this question.

The central bank uses the simple monetary rule to set the real interest rate. You observe that the inflation rate is 2 percentage points below the target inflation rate of 3 percent. You also know that the marginal product of capital is 4 percent. If the central bank sets the real interest rate to 𝑅 𝑡 = 1 % , you know that the nominal interest rate is 𝑖 𝑡 = ______ percent. Hint: Calculate the value of 𝑚 ¯ first. Then compute the value of 𝑖 𝑡 .

Using the Fisher equation, calculate the nominal interest rate 𝑖 𝑡 (in percent). Round your answer to the nearest tenth of a percent.

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