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28 May, 22:19

If the IS curve is given by Y = 1,700 - 100r, the money demand function is given by (M/P) d = Y - 100r, the money supply is 1,000, and the price level is 2, then if the money supply is raised to 1,200, equilibrium income rises by what number?

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  1. 28 May, 22:33
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    The equilibrium income increases by 50.

    Explanation:

    The IS curve is given by Y = 1,700 - 100r

    The money demand function is given as (M/P) d = Y - 100r

    The money supply is 1,000.

    The price level is 2.

    Putting value of Y in money demand function.

    1,000/2 = Y - 100r

    500 = 1,700 - 100r - 100r

    1700 - 500 = 200r

    r = 1200/200

    r = 6%

    Putting value of r = 6% in IS curve equation

    Y = 1,700 - 100r

    Y = 1,700 - 600

    Y = 1,100

    Now, if the money supply is increased to 1,200.

    Putting value of Y in money demand function.

    1,200/2 = Y - 100r

    600 = 1,700 - 100r - 100r

    1700 - 600 = 200r

    r = 1100/200

    r = 5.5%

    Putting value of r = 5.5% in IS curve equation

    Y = 1,700 - 100r

    Y = 1,700 - 550

    Y = 1,150

    So, we see that on increasing money supply from 1,000 to 1,200 the income increase by 50 and rate of interest falls by 0.5 percent.
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