An economy has a Cobb-Douglas production function:Y=K? (LE) 1-?.The economy has a capital share of a half, a saving rate of 24 p
ercent, a depreciation rate of 3 percent, a rate of population growth of 2 percent, and a rate of labor-augmenting technological change of 1 percent. It is in steady state.a. At what rates do total output, output per worker, and output per effective worker grow?b. Solve for capital per effective worker, output per effective worker, and the marginal product of capital.c. Does the economy have more or less capital than at the Golden Rule steady state? How do you know? To achieve the Golden Rule steady state, does the saving rate need to increase or decrease?d. Suppose the change in the saving rate you described in part (c) occurs. During the transition to the Golden Rule steady state, will the growth rate of output per worker be higher or lower than the rate you derived in part (a)? After the economy reaches its new steady state, will the growth rate of output per worker be higher or lower than the rate you derived in part (a)? Explain your answers.
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Answer:
There's an error in the numbers for this question; I found the correct one and pasted it below;
"Great Lakes Steel Supply is losing significant market share and thus its managers have decided to decrease the firm's annual dividend. The last annual dividend was $1.30 per share but all future dividends will be decreased by 2.75 percent annually. What is a share of this stock worth today at a required return of 15.5 percent? "
Explanation:
Use dividend discount model (DDM) to calculate the stock price
whereby,
P0 = Current price
D0 = Last dividend paid = 130
g = growth rate = -275% or -2.75 as a decimal
r = required return = 155% or 1.55 as a decimal
Next, plug in the numbers to the DDM formula above;
Therefore this stock is worth $6.93