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- Consider the intertemporal consumption problem of Mr Cronus between two periods, say this yearand next year. His utility function takes the form U (c1; c2) = pc1 +0:97pc2, where c1 and c2 arehis consumption this and next year respectively. It can be shown (and you do not have to) thatthis utility function satis es diminishing marginal rate of substitution.His yearly income is stable at 100 unit (let say a unit is ten-thousand). He faces di¤erent interestrates between borrowing and saving. Speci cally, the saving interest rate is 0:02, whereas theborrowing interest rate is 0:04.(a) Describe the budget set facing Mr Cronus.(b) Is Mr Cronus a borrower? Explain your answer.(c) Is Mr Cronus a saver? Explain your answer.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 consumptionEquation 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
- Draw a consumption function for an individual whereS=-250+0.3Y. Show the change that would result from an increase in Income.Mathematically derive slope of IS curve. Prove that if investment does not depend oni interestrate, the slope of IS curve is infinity.Consider the following NIPA data for 1Q2021 (First Quarter 20210 $ billlion) Investment: Non Residential $2,948.3 Exports $2,305.3 PCE Goods $5,183.5 Investment: Residential $1,043.7 Government Expendiures Federal $1,557.0 PCE Services $9,857.7 Imports $3,152.3 Governemnt Expenditures : State and local Goernent Expenditures $2,395.9 Change in private inventories -$90.1 2a. Compute the weights of each of PCE, GPDI, NX and GOV) in GDP 2b. Consider the following rates of change (%) for each of the above items. % change PCE 10.70% GPDI -5.00% NX -6.80% GOV 6.30%
- Assume a closed economy where the level of investment is 300 and savings function is s = -30+ 0.15y calculatr the equilibrium level of incomeWhat are the nonincome determinants of Consumption and Savings?Please no written by hand solutions Data on before-tax income, taxes paid and consumption spending (on domestic goods and services) for the Simpson family in various years are given below. BEFORE-TAX INCOME ($) TAX PAID ($) CONSUMPTION SPENDING ($) 3000 3500 3700 4000 25 000 27 000 28 000 30 000 20 000 21 350 22 070 23 600 a. Graph the Simpsons's consumption function and find their household's marginal propensity to consume. b. How much would you expect the Simpsons to consume if their income was $32 000 and they paid taxes of $5000? c. Homer Simpson wins a lottery prize. As a result, the Simpson family increases its consumption by $1000 at each level of after-tax income. ('Income' does not include the prize money.) How does this change affect the graph of their consumption function? How does it affect their marginal propensity to consume?
- Which of the following results in an increase in consumers’ lifetime wealth, i.e. an increase in the net presentvalue of lifetime income? (a) Increase in interest rate(b) Decrease in future wages(c) Decrease in interest rate(d) Decrease in current taxes, financed by an increase in future taxesEquation for consumption is C=40/(0.8Y) where Y= yearly income = $400. The marginal propensity to consume is _______?What will be the value of average propensity to consume if income of household is $1350 and the Consumption is $990
