Ask Question
8 February, 12:04

An economy has full-employment output of 5000. Government purchases are 1000. Desired consumption and desired investment are given by:

Cd = 3600 - 2000r + 0.10Y

Id = 1200 - 4000r

Where Y is output and r is the expected real interest rate:

(a) Find the real interest rate that clears the goods market. Assume that output equals full-employment output.

(b) Calculate the amount of saving, investment, and consumption in equilibrium.

+3
Answers (1)
  1. 8 February, 13:26
    0
    a. real interest rate is 0.217 or 21.7%.

    b. saving = 134, investment is 332, consumption is 3666.

    Explanation:

    a) Y = Cd + Id + Gd

    Where Y = output

    Cd = consumption

    Id = Investment purchases

    Gd=Government purchases

    Y = (3600 - 2000r + 0.10Y) + (1200 - 4000r) + 1000

    Y=5800-6000r+0.10Y

    0.9Y=5800-6000r

    At full employment Y=5000

    Putting the value of Y in the above equation

    0.9*5000=5800-6000r

    5800-4500=6000r

    r=0.217

    Therefore real interest rate is 0.217 or 21.7%.

    (b) Sd = Y - Cd - G

    where Sd is national saving

    Sd = Y - (3600 - 2000r + 0.1Y) - 1200

    Sd = 5000 - (3600 - 2000*0.217 + 0.1*5000) - 1200 = 5000-3600+434-500-1200 = 134

    Therefore, saving = 134

    Id = 1200-4000*0.217 = 332

    Therefore, investment is 332

    Cd = 3600-2000r+0.10Y=3600-434+500=3666

    Therefore, consumption is 3666.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “An economy has full-employment output of 5000. Government purchases are 1000. Desired consumption and desired investment are given by: Cd = ...” in 📘 Business if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers