Bowaite's Manufacturing has a current cash and marketable securities balance of $50 million. The company's economist is forecasting a 2-year recession. Free cash flows during the recession, which are normally distributed, are expected to total $70 million, with a standard deviation of $60 million. The company's marginal tax rate is 40 percent.

a. Under these conditions, what is the probability that Bowaite's will run out of cash during the recession?

b. Bowaite's is considering a major capital expansion project. If the project is undertaken, it will be financed initially with debt totaling $200 million. This debt financing will require after-tax cash outflows for debt service during the 2-year recession of $60 million.

If Bowaite's is willing to accept a 10 percent chance of running out of cash, should the expansion (with debt financing) be undertaken?