The current price of a non-dividend-paying stock is $30. Over the next six months it is expected to rise to $36 or fall to $26. Assume the risk-free rate is zero. I. What long position in the stock is necessary to hedge a short call option when the strike price is $32? Give the number of shares purchased as a percentage of the number of options that have been sold.
II. What is the value the call option?
III. What long position in the stock is necessary to hedge a long put option when the strike price is $32? Give the number of shares purchased as a percentage of the number of options purchased option.
IV. What is the value of the put option.
V. What is the risk neutral probability of the stock price moving up?

You decide that structural changes must be made at holden evans immediately to deal with the additional product lines. equipment and employees will have to be moved around to optimize production of all of the products in house. this shouldn't be too difficult because many of the vitamins and supplements are produced using similar processes. you have several options available to facilitate this process. which of the following methods do you think is the best choice? select an option from the choices below and click submit. because the changes may result in the loss of several key employees, you hire outside consultants who specialize in hr law. this way any employee terminations will not result in lawsuits. you select an outside consulting firm that your company has never worked with before, but it has a reputation for using new technology in product lines that are similar to yours. you select several trusted managers to facilitate the transition of operations from overseas. these individuals can gather information and also smooth any rough spots that may occur.

Anew 2-lane road is needed in a part of town that is growing. at some point the road will need 4 lanes to handle the anticipated traffic. if the city's optimistic estimate of growth is used, the expansion will be needed in 4 years and has a probability of happening of 40%. for the most likely and pessimistic estimates, the expansion will be needed in 8 and 15 years respectively. the probability of the pessimistic estimate happening is 20%. the expansion will cost $ 4.2 million and the interest rate is 8%. what is the expected pw the expansion will cost?

The gorman group is a financial planning services firm owned and operated by nicole gorman. as of october 31, 2016, the end of the fiscal year, the accountant for the gorman group prepared an end-of-period spreadsheet, part of which follows: