IBM stock currently sells for 49 dollars per share. Over 12 month(s) the price will either go up by 11.5 percent or down by -7.0 percent. The risk-free rate of interest is 4.5 percent continuously compounded. If you are short one call option with strike price 51 and maturity 12 months how many shares of stock must you buy to establish a delta-neutral position?

Which of the following is likely not a benefit of requiring a grand jury to listen to and examine all of the evidence against a person suspected of committing a serious crime and then independently deciding whether or not to hand down an indictment? 1.the grand jury system provides the accused another safeguard against being sent to trial and facing conviction based on flawed evidence. 2.the members of the grand jury are drawn from the community and are empowered to render independent decisions about whether or not the government has collected enough evidence to bring an individual to trial. 3.the grand jury’s decision can provide prosecutors insight into what is necessary to build a sufficient case if a similar crime is presented later. 4.the grand jury is impaneled to rubber-stamp prosecutors’ cases, which makes it possible for more cases to reach trial.