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Question 4: Life-cycle model A household will live for 80 years (T = 80), work for 60 years and then retire (R = 60). It earns 100 per year while working (Y 100), and earns nothing once retired. It currently has S400 of wealth (W 400). It wants to perfectly smooth its consumption over life time. The interest rate is 0 (r 0) 1. Solve for the optimal value of consumption per year. 2. Draw a figure that is similar to the figure in the slide 39 of Ch17, to show how income, consumption, and wealth evolve over time

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Answer #1

Answer:

Solve the optimal value of consumption per year-

Since the interest rate is 0, Present value = Future Value

Total earning for 60 years - 100*60 = 6000

Current waelth - 400

Total wealth - 6400

Total years - 80

Hence, for smooth consumptionover life time, per year consumption - 6400/80 = 80 per year.

2):- show how income consumption and wealth evolve over time.

Annwerg wealth evolve oveh tim Tncome Savi Ratinement End at life begins above diognom consumption , incoma and wealth ane sho wn Cunnent condumb tion de pends on the inu often neti nement depend入 on con nentAannad , Thun epone, total İipe time eo ninimhHon b cnhent inome and consumbtion e come timu contumpt\ on detendA on income/and netinemant conyumption dapends on eunhent cunent avings and

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