An investment is valued approximately by the function f (t) = 50, 000e0:2v If the annual discount rate is 5%, when would the present value of this investment be maximized? What is this optimal present value of the investment? What is the initial value of the investment at the zero moment? Use a second-order condition to prove that the present value is, indeed, maximized.
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- The demand D (in billions of £) for a bond with coupon rate 5% and face value FV = 1000, andtwo years to maturity as a function of its price P is D = 4000 − 2P. The supply in (billions of£) as a function of the price of the bond is S = 2P + 400. b) Suppose that the yield to maturity of the bond is i = 0.05. What is the quantitydemanded/supplied at this interest rate? What happens to the demand/supply of the bond asthe interest rate increases? Explain why. c) What is the equilibrium interest rate?The demand D (in billions of £) for a bond with coupon rate 5% and face value FV = 1000, andtwo years to maturity as a function of its price P is D = 4000 − 2P. The supply in (billions of£) as a function of the price of the bond is S = 2P + 400. b) Suppose that the yield to maturity of the bond is i = 0.05. What is the quantitydemanded/supplied at this interest rate? What happens to the demand/supply of the bond asthe interest rate increases? Explain why. c) What is the equilibrium interest rate? d) Suppose that the bond trades at premium. Is there excess demand or supply? Explain.e) There is a business cycle expansion, so both supply and demand shifts. After the shift, thenew demand curve is given by: D = 4000 + X − 2P, whereas the new supply curve is S =2P + 200. For which values of X will the interest increase/decrease? Which values of X arein line with empirical data?1. Consider a wine dealer who has k bottles of wine. The dealer can sell them now (t = 0) or can store it for some time and then sell them later. The value of k bottles at t-th month is given by: Vt = ket The dealer can use the sales revenue as principal in a risk-free investment at rate r. (d) If the risk free rate is 5%, what is the optimal timing of sales?
- A stock you are evaluating is expected to experience supernormal growth in dividends of 12 percent over the next three years. Following this period, dividends are expected to grow at a constant rate of 4 percent. The stock paid a dividend of $1.50 last year and the required rate of return on the stock is 11 percent. Calculate the stock's fair present value. (Do not round intermediate calculations.) Please show all the steps, including the equation(s).Consider worker who is offered a salary bonus of $2,000 for each of the next two years if he or she erolls in a job training prgram this year. The total cost to the worker, including any forgone earnings, is $3,500. a. What is the internal rate of return on this investment? b. Would this be a good investment for someone with a discount rate of 6%Define the term expected return?
- What is the expected return from an investment if there is a 20 percent chance of a 4 percent return, a 40 percent chance of a 8 percent return, and a 40 percent chance of a 12 percent returnIf Peregrine consumes(1,500,880)and earns(1,300,1,100)and if the interest rate is10%, the present value of his endowment isWhat is the principal goal of a firm like CorpCo? As a managerial economist how would you define an ‘optimal decision’ for a firm? The firm is considering investing $300,000 for a period of five years. Expected earnings are $50,000 in year 1, $60,000 in year 2, $75,000 in year 3 and $90,000 in years 4 and 5. Should the firm decide to invest, if the interest rate is 8%? The firm paid a dividend of $6 during the past year and it estimates dividends to grow at 7% annually in the future. Firm’s stockholders require a rate of return of 14%. What would be the expected value of each share today? Which are the two basic risks affecting returns when shareholders value any business? Briefly explain.
- Mr. Smith has some money to invest. He selected three stocks and two bond funds as possible investments, shown in the following table. Investment Stock A Stock B Stock C Bond-long term Bond-short term Risk Annual Return High Medium Low 15% 12% 9% 11% 8% One of Mr. Smith's investment requirements is "the total amount invested cannot exceed $500,000". Which option represents this constraint? Note: (X₁, X₂, X₁, X₁, and X, are investment in stock A, stock B, stock C, long term bond and short term bond, respectivelya) Suppose you put $350 into a bank account today. Interest is paid annually and the annual interest rate is 6 percent. What is the future value of the $350 after 4 years? b) Suppose you are deciding whether to buy a particular bond from your local municipality. If you buy the bond and hold it for 4 years, then at that time you will receive a payment of $10,000. Assume the interest rateis6percent. Underwhatcircumstanceswillyoubuythebond?Meaninguptowhatpriceareyou willing to pay.Buena Vision Clinic is considering an investment that requires an outlay of $600,000 and promises a net cash inflow one year from now of $810,000. Assume the cost of capital is 10 percent. Required: 1. Break the $810,000 future cash inflow into three components: a. The return of the original investment b. The cost of capital c. The profit earned on the investment 2. Now, compute the present value of the profit earned on the investment. 3. Compute the NPV of the investment. Compare this with the present value of the profit computed in Requirement 2. What does this tell you about the meaning of NPV?