Ybm's stock price s is $102 today. - after six months, the stock price can either go up to $115.63212672, or go down to $93.52995844. - options mature after t = 6 months and have an exercise price of k = $105. - the continuously compounded risk-free interest rate r is 5 percent per year. given the above data, the hedge ratio and the put option's value are given by:

Atlas manufacturing produces a unique valve, and has the capacity to produce 50,000 valves annually. currently atlas produces 40,000 valves and is thinking about increasing production to 45,000 valves next year. what is the most likely behavior of total manufacturing costs and unit manufacturing costs given this change? a. total manufacturing costs will increase and unit manufacturing costs will also increase. b. total manufacturing costs will stay the same and unit manufacturing costs will stay the same. c. total manufacturing costs will increase and unit manufacturing costs will decrease. d. total manufacturing costs will increase and unit manufacturing costs will stay the same.

Rats that received electric shocks were unlikely to develop ulcers if the

T-comm makes a variety of products. it is organized in two divisions, north and south. the managers for each division are paid, in part, based on the financial performance of their divisions. the south division normally sells to outside customers but, on occasion, also sells to the north division. when it does, corporate policy states that the price must be cost plus 20 percent to ensure a "fair" return to the selling division. south received an order from north for 300 units. south's planned output for the year had been 1,200 units before north's order. south's capacity is 1,500 units per year. the costs for producing those 1,200 units follow