Suppose that a firm begins at time t=0 with a capital stock of K(0) = 500,000 pesos and, in addition to replacing any depreciated capital, is planning to invest in new capital at the rate I(t) = 600t² over the next ten years. a. What is the planned level of capital stock at the end of 10 years? b. How much net investment was made between the 3rd and 5th year?
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- If the number of competitors in Example 11.1 doubles, how does the optimal bid change?Company Y acquired The Seoul Post in February 2021 for $315 million. Suppose the yearly margin per Seoul Post reader is $1 per year (coming from advertising), and the yearly retention rate is 70%, and assume a yearly discount rate of 10%. (b) How many new readers should the Seoul Post acquire to close that gap, assuming an acquisition cost of $0.50 per reader? That is, how many new readers should it acquire to raise the CLV of its readers to $315 million, where the CLV of new readers is reduced by the acquisition cost?Company Y recently acquired the startup Gravity for $83 million, in order to improve their customization of content online. Gravity will optimize the articles recommended to the readers of the Seoul Post on the site, and the display ads served to these readers. Such analytics tool has the potential to improve both retention rate (more relevant content means more loyal readers) and advertising revenue (more time spent on the site and more relevant ads both mean more…You are managing a portfolio of $1 million. Your target duration is 11 years, and you can choose from two assets: a zero coupon bond with maturity 5 years, and a perpetuity, the yield is: A. .688 B. .417 C. .583 D. .312
- Rollo Megabux has $1 million to invest in stocks orbonds. The percentage yield on each investment during thecoming year depends on whether the economy has a goodor a bad year (see Table 17). It is equally likely that theeconomy will have a good or a bad year.a If Rollo is risk-neutral, how should he invest hismoney?b For $10,000, Rollo can hire a consulting firm toforecast the state of the economy. The consulting firm’sforecasts have the following properties:P(good forecast|economy good) .80P(good forecast|economy bad) .20Should Rollo hire the consulting firm? What are EVSIand EVPI? Economy EconomyHas Good Has BadYear YearYield on stocks 22% 10%Yield on bonds 16% 14%Consider a consumer that lives only for two periods. He works in period 1 (and gets income Y1) and moves up the corporate ladder in period 2 (and gets income Y1 < Y2). This consumer has the usual preferences over time: u(C1) + βu(C2) Assume once again that a consumer cannot borrow, but can borrow and immediately sell some MacGuffins, and in the next period, the consumer must buy back the MacGuffins to return to the lender. Assume that MacGuffin t r a d e s a t P1 > 0 in the first period and is expected to trade at P ̃2 in the second period. Write down the new budget constraint. Would a consumer borrow a MacGuffin? What is the condition on the P ̃2? Is P ̃2 a fair price of a MacGuffin? Could the consumer be better off with a MacGuffin?Based on current dividend yields and expected capital gains, the expected rates of return on portfolios A and B are 11 % and 14 %, respectively. The beta of A is 0.8 % while that of B is 1.5. The T-bill is currently 6 %, while the expected rate of return of the S&P 500 index is 12 %. The standard deviation of portfolio A is 10 % annually, while that of B is 31 % , and that of the index is 20 %: If you currently hold a market index portfolio, would you choose to add either of these portfolios to your holdings? Explain. If instead you could invest only in bills and one of these portfolios, which would you choose, and why? Investor Y, who put K1 in large stocks (the S & P 500 portfolio) on December 31, 1925, and re-invested all dividends in that portfolio, would have ended on December 31, 2003, with K1992.80.
- Suppose that a dam was built at a very high cost. At the time of construction, the estimated cost energy produced by the dam was £10 per unit. Of these £10, £5 contributed to the amortization of the initial investment and the other £5 to the variable recurrent cost. Now suppose that after the completion of the investment, a new energy source is discovered that allows the production of energy at a cost of £7 per unit. Should the dam be abandoned in favour of the alternative energy source? Please elaborate on your answer.A 5-year annuity of ten $5,300 semiannual paymentswill begin 9 years from now, with the first payment coming 9.5 years from now. If thediscount rate is 12 percent compounded monthly, what is the value of this annuityfive years from now? What is the value three years from now? What is the currentvalue of the annuity?Explain in some detail how the PrecisionTree calculations in Figure 6.11 for the Acme problem are exactly the same as those for the hand-drawn decision tree in Figure 6.6. In other words, explain exactly how PrecisionTree gets the monetary values in the colored cells in Figure 6.11. If your answer is negative number, enter "minus" sign. Market EMV Great ( $18 × - $ ) = $ Fair ( $18 × - $ ) = $ Awful ( $18 × - $ ) = $ Total 0.45 × __ $ + 0.35 × ___$ + 0.20 × ___ $ = ___ $
- If workers contribute to their group’s investments and decide on these investments, workers at different stages of their careers may want different types of capital, for example a durable building versus a temporary one. a. How might the age distribution of the workers make the building they choose to build too temporary or too durable? How can a building be too durable? b. There are also young and old shareholders. Why isn’t the choice of the building’s durability also a problem if they or an elected management makes the decision on it?You currently own 600 shares of JKL, Inc. JKL is an all-equity firm that has 75,000 shares of stock outstanding at a market price of $40 a share. The company’s earnings before interest and taxes are $140,000. JKL has decided to issue $1 million of debt at 8 percent interest. This debt will be used to repurchase shares of stock. If the cost of equity is 25%, the WACC is 16% and cost of debt is 10%, what will be the implied D/E ratio?Fred has been told that diversifying his investments will significantly reduce risk. He hastherefore invested in two stocks. His portfolio consists of a $1 500 000 investment in DrugsLimited and $750 000 invested in shares of Pharmaceuticals Limited.Economy Probability ReturnsDrugs Limited PharmaceuticalsLimitedBoom 0.4 12% 19%Normal 0.5 8% 11%Recession 0.1 2% -4% i. What is the expected return on Fred’s portfolio? ii. Advise Huron as to the effectiveness of his diversification strategy.