# Question: You have a project costing 1 50 that will produce two

You have a project costing $1.50 that will produce two widgets, one each the first and second years after project completion. Widgets today cost $0.80 each, with the price growing at 2% per year. The effective annual interest rate is 5%. When will you invest? What is the value today of the project?

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Repeat Problem 17.18 assuming that the volatility of gold is 20% and that once opened, the mine can be costlessly shut down forever. What is the value of the mine? What is the price at which the mine will be shut down? The stock price of XYZ is $100. One million shares of XYZ (a negligible fraction of the shares outstanding) are buried on a tiny, otherwise worthless plot of land in a vault that would cost $50 million to excavate. If XYZ ...Let KT = S0erT. Compute Pr(St KT ) for a variety of T s from 0.25 to 25 years. How do the probabilities behave? How do you reconcile your answer with the fact that both call and put prices increase with time? What is Pr(St > $105) for t = 1? Howdoes this probability change when you changet? How does it change when you change σ? Refer to Figure 19.2. a. Verify that the price of a European put option is $0.0564. b. Verify that the price of an American put option is $0.1144. Be sure to allow for the possibility of exercise at time 0.Post your question