12. If the stock of capital per worker of an economy is 4.0, there is no pop lation growth or technological change, the production function (not p worker) is F(K, L) = KLO.5, the savings rate is 0.3 and the depreciatic rate is 0.1, what will be capital per worker in the next period? (а) 4.2 (b) 3.9 (c) 9.0 (d) 4.0
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- (Long Run) The country of Prosperous has: Production function: Y = 2 K1/2 (AN)1/2, where Y=output;K=capital; A=technology; and N=labor Saving rate (s): 20% per year Depreciation rate (d): 10% per year Labor growth rate (n): 2% per year Rate of technological change (g): 8% per year a. Transform the production function into the relation between output per effective worker (Y/AN) and capital per effective worker (K/AN). Does the function exhibit diminishing return?4. If the project's cost of capital is 12%, what is the NPV of the project? $ 209,845 I'm still trying to figure out this last part. The homework says this is wrong, but I cannot follow your work to see if there is just an error in the decimals. Please explain how you got this last part.A man borrowed P20, 000.00 from a local commercial bank which has a simple interest of 16% but the interest is to be deducted from the loan at the time that the money was borrowed, and the loan is payable at the end of one year. How much is the actual rate of interest? a.i = 0.59 or 59% (actual rate of interest) b.i = 0.39 or 39% (actual rate of interest) c.i = 0.19 or 19% (actual rate of interest) d.i = 0.79 or 79% (actual rate of interest)
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- Definition of economic costs Hubert lives in Houston and runs a business that sells guitars. In an average year, he receives $722,000 from selling guitars. Of this sales revenue, he must pay the manufacturer a wholesale cost of $422,000; he also pays wages and utility bills totaling $268,000. He owns his showroom; if he chooses to rent it out, he will receive $1,000 in rent per year. Assume that the value of this showroom does not depreciate over the year. Also, if Hubert does not operate this guitar business, he can work as an accountant, receive an annual salary of $42,000 with no additional monetary costs, and rent out his showroom at the $1,000 per year rate. No other costs are incurred in running this guitar business. Identify each of Hubert’s costs in the following table as either an implicit cost or an explicit cost of selling guitars. Implicit Cost Explicit Cost The rental income Hubert could receive if he chose to rent out his showroom The…Q5) A firm is planning to manufacture a new product. The sales department estimates that the quantity that can be sold depends on the selling price. As the selling price is increased, the quantity that can be sold decreases. Numerically they estimate: P = $35.00 - 0.02Q where P =selling price per unit Q = quantity sold per year On the other hand, the management estimates that the average cost of manufacturing and selling the product will decrease as the quantity sold increases. They estimate C = $4.00Q + $8000 where C = cost to produce and sell Q per year The firm's management wishes to produce and sell the product at the rate that will maximize profit, that is, where income minus cost will be a maximum. What quantity should the decision makers plan to produce and sell each year?D6) Suppose there are perfect capital markets with taxes. Investors expect a company to have $120 earnings before interest and taxes in one year. This company has a 25% tax rate, $100 market value of debt, and 20 shares outstanding. This company’s net working capital, depreciation expense, and capital expenditures are all expected to be zero in perpetuity. Investors expect this company to have the same earnings before interest and taxes, market value of debt, tax rate, and number of shares outstanding in perpetuity. The firm’s unlevered cost of equity is 8% and its cost of debt is 5%. Based on this information, what amount would you expect this company’s share price to be closest to? $5 $20 $40 $80 $100 $200 $400
- ABCD Inc. is a shoe company, they have decided to build a new manufacturing facility because they have developed modern technology to help in the production of their sneakers. The new facility will be able to process up to 10,000 pairs of sneakers per year, but this year is only expected to produce 7,000 pairs. ABCD Inc.'s first facility uses the same technology and has processed 12,000 shoes per year with a full production capacity of 12,000. Draw the long run and short-run average cost curve for ABCD’s new facility and first facility and indicate where the MES is most likely to occur.Question 2Assume production function is given by:Y= K(1/2) L(1/2)a. Write the production function in per worker terms (y=f(k))b. Assume that the per worker level of capital in the steady state is 4, the depreciation rate is 5% per year, and population growth is 5% per year. Does this economy have “too much” or “too little” capital? How do you know? [Show your work].37. Electronic Games is moving very quickly to introduce a new interrelated set of video games. The initial investment for equipment to produce the necessary electronic components is $9 million. The salvage value after 6 years is $700,000. Anticipated net contribution to income is $6 million the first year, decreasing by $1 million each year for 6 years, with all dollar amounts expressed in real dollars. Depreciation follows MACRS 5-year property, taxes are 40 percent, the real MARR is 18 percent, and inflation is 4 percent. d. Determine the FW of the after-tax cash flows. e. Determine the combined IRR of the after-tax cash flows. f. Determine the combined ERR of the after-tax cash flows.