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Consider a non-dividend-paying stock S. Given S has price St at date t,the return on S has a log-normal distribution at T under Q with mean −(σ^2)*(T −t)/2 and variance (σ^2)*(T−t). That is, log(ST/St)∼N[(-1/2)*(σ^2)*(T-t),(σ^2)*(T−t)]
1a(i) Show,computationally,that
Expected value of [ST] under Q=St
1a(ii) Explain why it must be that (expected value of [ST] under Q=St) for the absence of arbitrage.
You are planning your retirement in 10 years. You currently have $175,000 in a bond account and $615,000 in a stock account. You plan to add $6,500 per year at the end of each of the next 10 years to your bond account. How much can you withdraw each ..
I'm the VP of marketing for a major manufacturing company and have three products that I'm responsible for selling. For one of my products, we only have one other manufacturer who we compete with and there are no other substitutes. If out company has..
Hook Industries' capital structure consists solely of debt and common equity. It can issue debt at rd = 11%, and its common stock currently pays a $3.25 dividend per share (D0 = $3.25). The stock's price is currently $21.25, its dividend is expected ..
calculate the dividend yield and capital gains yield for the stock.
A farmer is considering replacing a labor-intensive machine system with a more capital-intensive one.
Beginning next year, a foundation will support an annual seminar on campus with the earnings of a $200,000 gift it received this year. It is felt that 6% interest will be realized for the first 10 years, but that plans should be made to anticipate an..
Do people always make rational decisions? What are the factors that lead to bounded rationality? What are the factors that lead to irrational economic decisions?
Portfolio Return At the beginning of the month, you owned $6,300 of Company G, $8,600 of Company S, and $2,200 of Company N. The monthly returns for Company G, Company S, and Company N were 7.85 percent, -1.56 percent, and -.17 percent. What is your ..
Other things held constant, which of the following events would be most likely to encourage a firm to increase the amount of debt in its capital structure? Its sales are projected to become less stable in the future. The bankruptcy laws are changed i..
Breakwater Aquatics has a 45 day accounts receivable period. The estimated quarterly sales for this year, starting with the first quarter, are $6,800, $7,100, $8,200, and $6,400, respectively. What is the accounts receivable balance at the beginning ..
Suppose now (forgetting all prior assumptions) that the firm plans to finance the entire $285 million project by selling 6% coupon bonds. The underwriter will charge a spread of 1.75%; the legal and administrative fees associated with the project amo..
Calculate the net present value of a project with a net investment of $20,000 for equipment and an additional net working capital investment of $5,000 at time 0. The project is expected to generate net cash flows of $7,000 per year over a 10 year est..
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