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Christopher has an income of K200 this year and he expects an income of K110 next year. He can borrow and lend money at an interest rate of 10%. Consumption goods cost K1 and there is no inflation....

  1. Christopher has an income of K200 this year and he expects an income of K110 next
    year. He can borrow and lend money at an interest rate of 10%. Consumption goods cost K1 and there is no inflation.
  1. What is the present value of Christopher’s endowment?
  2. What is the future value of Christopher’s endowment?
  3. Suppose that Christopher has the utility function U =C1C2. Write down Christopher’s marginal rate of substitution.
  4. Set this slope equal to the slope of the budget line and solve for the consumption in period 1 and 2. Will he borrow or save in the first period.
  5. What will be the answer in (d) if the interest rate is now 20%. Will Christopher be better or worse off?
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Answer #1

a:) Pres ent value of endoomeutIncome二ylty (1-1) 200 t llo 1-L γ) d) Slope 아 Budget fha Cit

14,-C(*.Com th e n 150x 165) ニ、24,950 (4347)219) 34,01-33 alls, when

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