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Consider a self-made entrepreneur in IT industry, Mr. Dragon, who has two possible investment projects that offer the following payoffs:
Project 1: Investment of $12m is required now, and the payoff one year from now is going to be $15m with probability of 1.
Project 2: Investment of $12m is required now, and the payoff one year from now is either $24m with probability 0.4 or $0 with probability 0.6.
a. Calculate the expected payoffs to the bank and Mr. Dragon in each project if the bank lends the present value of $10. Which project would Mr. Dragon undertake?
b. What is the maximum amount the bank could lend that would induce Mr. Dragon to take a project that benefits the bank?
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