Fantasy Island is a closed economy and is characterized by the following equations:

Consumption: C = 400 + 0.80(Y – T)

Investment: I = 300 – 1500r

Government spending: G = 300

Taxes: T = 400 Real money demand:

L = 0.4Y – 498i

Expected inflation: e = 0

Production function: Y = K^1/2 x L^ 1/2

The nominal money supply = 707

Note: Interest rates, i and r, are expressed in decimal points, i.e., if r = 0.5, then r = 50%.

Suppose the IS-LM model can be used to describe Fantasy Island, and answer the following questions. Keep your answer to (at least) TWO decimal points if necessary.

c) Suppose, in the long-run, 2000 (real) units of capital are utilized and 2000 workers are employed. Calculate the resulting long run (full-employment) equilibrium values of real output, real interest rate, investment, consumption, the government budget balance, the price level, and the real money supply.

d) Suppose autonomous consumption and autonomous investment both suddenly (and permanently) fall by 20%. Calculate the resulting (new) short-run equilibrium values of real output, real interest rate, investment, and consumption. Determine the unemployment rate that results in short-run equilibrium.

e) Suppose, instead, we are also told that when the economy was in long-run equilibrium (in part C, above) 100 people were unemployed. Further, when the shock hit the economy (in part D, above) no people exited the labor force. Determine the unemployment rate that results in the short-run equilibrium from part D. What portion of this unemployment is represented by cyclical unemployment and what portion is comprised of those in the natural rate (level of) unemployment (NRU). Hint: Cyclical unemployment is the level of unemployment that results from deviations of output from the full-employment level.

f) When the economy returns to long-run equilibrium what unemployment rate should we expect to see? Explain why/when this makes sense.

g) Determine the (new) LR (full-employment) equilibrium values of real output, real interest rate, the price level, and the real money supply that result following the shock described in part D (above). Hint