The stock of Company ABC is currently trading at a price of $50. According to analyst forecasts, the share price will be either $45 or $55 at the end of six months. Suppose that the risk-free interest rate is 10% per annum with continuous compounding. What is the value of a six-month European put option with a strike price of $50 using the Delta-hedging method as discussed in the lecture notes? Verify your result using the Risk-neutral method.

Banana computers has decided to procure processing chips required for its laptops from external suppliers instead of manufacturing them in their own facilities. how will this decision affect the firm? a. the firm will be protected against the principal-agent problem. b. the firm's administrative costs will be low because of necessary bureaucracy. c. the firm will have more flexibility in purchasing and comparing prices of goods and services. d. the firm will have high-powered incentives, such as hourly wages and salaries.

"jake’s roof repair has provided the following data concerning its costs: fixed cost per month cost per repair-hour wages and salaries $ 20,900 $ 15.00 parts and supplies $ 7.70 equipment depreciation $ 2,800 $ 0.35 truck operating expenses $ 5,720 $ 1.60 rent $ 4,690 administrative expenses $ 3,850 $ 0.50 for example, wages and salaries should be $20,900 plus $15.00 per repair-hour. the company expected to work 2,600 repair-hours in may, but actually worked 2,500 repair-hours. the company expects its sales to be $47.00 per repair-hour. required: compute the company’s activity variances for may."

Miami incorporated estimates that its retained earnings break point (bpre) is $21 million, and its wacc is 13.40 percent if common equity comes from retained earnings. however, if the company issues new stock to raise new common equity, it estimates that its wacc will rise to 13.88 percent. the company is considering the following investment projects: project size irr a $4 million 14.00% b 5 million 15.10 c 4 million 16.20 d 6 million 14.20 e 1 million 13.42 f 6 million 13.75 what is the firm's optimal capital budget?