Consider an economy that lasts for two periods. A household receives nominal labour income Y₁ = 100 in the first period and Y₂ = 110 in the second period. The price level in the first period is P₁ = 10 and in the second period it's P₂ = 11. The nominal interest rate i is 15%. Household chooses real consumption c₁ and c₂ (relative to price level in the first period) to maximise utility U(C₁, C₂) that exhibits the decreasing marginal rate of substitution property. 1. 2. 3. Calculate the inflation rate and the real interest rate r. Find the real consumption values for which the household neither saves, nor borrows. For all questions below assume that this is the optimal choice for the housheold. Draw and describe analytically the set of feasible consumption choices. What is the marginal rate of substitution at the optimal choice? 4. a) Now assume that due to increase in risk premia, banks introduce a spread on interest rates, borrowers now pay r = r +1% and lenders get r₁ = r - 1% on their savings. Show graphically how this affects the set of feasible consumption choices. b) Can the introduction of the interest rate spread affect the optimal consumption choice of the household? Why/Why not?
Consider an economy that lasts for two periods. A household receives nominal labour income Y₁ = 100 in the first period and Y₂ = 110 in the second period. The price level in the first period is P₁ = 10 and in the second period it's P₂ = 11. The nominal interest rate i is 15%. Household chooses real consumption c₁ and c₂ (relative to price level in the first period) to maximise utility U(C₁, C₂) that exhibits the decreasing marginal rate of substitution property. 1. 2. 3. Calculate the inflation rate and the real interest rate r. Find the real consumption values for which the household neither saves, nor borrows. For all questions below assume that this is the optimal choice for the housheold. Draw and describe analytically the set of feasible consumption choices. What is the marginal rate of substitution at the optimal choice? 4. a) Now assume that due to increase in risk premia, banks introduce a spread on interest rates, borrowers now pay r = r +1% and lenders get r₁ = r - 1% on their savings. Show graphically how this affects the set of feasible consumption choices. b) Can the introduction of the interest rate spread affect the optimal consumption choice of the household? Why/Why not?
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Hello, i have completed the other questions im just showing for context, i need assistance on 4a and 4b highlighted on the picture.
would love to get some assistance from an expert.
Thank you in advance!
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