Question 4 Explain how does a decrease in the current income y affect the consumer's consumption-saving decision. In particular, explain: 1) How will current consumption c, future consumption c', and savings s change; 2) Are there any substitution effect or income effect. Make sure you draw two figures, one for the borrowers and one for the lenders.
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- Explain how does adecrease in the current income y affect the consumer’s consumption-saving decision. In particular,explain: 1) How will current consumption c, future consumption c', and savings s change; 2) Arethere any substitution effect or income effect. Make sure you draw two figures, one for the borrowersand one for the lenders.Explain how does adecrease in the current income y affect the consumer’s consumption-saving decision. In particular,explain: 1) How will current consumption c, future consumption c′, and savings s change; 2) Arethere any substitution effect or income effect. Make sure you draw two figures, one for the borrowersand one for the lendersDescribe the effects of a decrease in the interest rate on present and next period’s consumption if the individual is a net lender (i.e., has savings) after period 1 and the substitution effect is larger than the income effect. Show your answer graphically
- Suppose, that a consumer is a saver, who saves some of his first-period income, and interest rate increases. Discuss the income and substitution effects on consumption in both periods. How consumptions in both periods will change?If you practice consumption smoothing, O you always spend less than you earn. there will be times in your life when it makes sense to borrow. O you make sure your current consumption matches your current income. O you do not save for the future.Course: Microeconomics - Intertemporal Consumption Decisions Consider a person who consumes in the 2 periods (C1 and C2), but ONLY works and earns an income in the first period (C1). Assume that consumption in each period behaves as a normal good.a) What is the effect of a rise in income on welfare? And on consumption in both periods? GRAPHb) What is the effect of a rise in the interest rate (assume that r goes from 10% to 15%) that occurs before the consumption decisions on welfare? GRAPH and on consumption in both periods?) GRAPH
- Question 3 is consists of two subquestions. 3i)Consider the household lives for 3 periods. She earns $100 in the first period, $110 in the second period, and $120 in the third period. Her goal is to consume equal amounts in all periods. The interest rate is the same in all periods. Which of the following statements are true? a. In the first period she will save b. In the first period she will borrow c. In the third period she will save d. In the second period her consumption is $100 3ii) The household now lives in 2 periods. The goal of the household is to consume twice as much in period 2 as in period 1. She earns $100 in the first period and $150 in the second period. The interest rate is 5%. What is her optimal consumption and optimal saving in the first period?Suppose that C = a + bY, where C = consumption, a = consumption at zero income, b = slope, and Y = income. a. Are C and Y positively related or are they negatively related? b. If graphed, would the curve for this equation slope upward or slope downward? c. Are the variables C and Y inversely related or directly related? d. What is the value of C if a = 10, b = 0.50, and Y = 200? e. What is the value of Y if C = 100, a = 10, and b = 0.25?Equation for consumption is C=40/(0.8Y) where Y= yearly income = $400. A) what is the level of consumption B) what is the average propensity to consume
- In Irving Fisher’s two period model, if the consumer is initially a saver and the interestrate and the first period consumption increases, then we can conclude that the incomeeffect:a) Was greater than the substitution effectb) Was less than substitution effectc) Exact offset the substitution effectd) And the substitution effect both increased consumptionA college professor is planning for his retirement years. His utility function is ?(?t , ?r ) = 3c t 0.5+2cr0.5 where ct represents his consumption today (period 1), his active years of teaching, and cr represents his consumption in his retirement years (period 2). During his active years of teaching, he makes a total of ₺3 million, while in his retirement years his total income is ₺1 million. He can borrow or lend at an interest rate of 25% between the two periods. Write an equation that describes the professor’s budget assuming he will spend all his income during his lifetime. If the professor chooses neither to borrow nor to lend during his active years, what will be his marginal rate of substitution between his consumption today and his retirement years? If the professor aims at maximizing his utility, how much does he consume in each period (use the Lagrangian method)? Does he save for his retirement years? If so, how much? At what interest rate would the professor…Q1. Consider the following two-period model of consumption and saving: Utility = C1^0.5 + B*C2^0.5 C1 + C2/(1+r) = Y1 + Y2/(1+r) where Y1 = 4, Y2 = 1, r = 0.17 and B = 0.5. Find a numerical solution for period 1 consumption, C1. (State your answer to 2 decimal places.)