3. A companys cash position, measured in millions of dollars, follows a generalized Wiener process with a drift rate of 0.1 per month and a variance rate of 0.16 per month. The initial cash position is 2.0.

(a) What are the probability distributions of the cash position after one month, six months, and one year?

(b) What are the probabilities of a negative cash position at the end of six months and one year?

(c) At what time in the future is the probability of a negative cash position greatest?