Growth Option: Decision-Tree Analysis Fethe's Funny Hats is considering selling trademarked, orange-haired curly wigs for University of Tennessee football games. The purchase cost for a 2-year franchise to sell the wigs is $20,000. If demand is good (40% probability), then the net cash flows will be $27,000 per year for 2 years. If demand is bad (60% probability), then the net cash flows will be $3,000 per year for 2 years. Fethe's cost of capital is 13%. Do not round intermediate calculations. a. What is the expected NPV of the project? Negative value, if any, should be indicated by a minus sign. Round your answer to the nearest dollar. b. If Fethe makes the investment today, then it will have the option to renew the franchise fee for 2 more years at the end of Year 2 for an additional payment of $20,000. In this case, the cash flows that occurred in Years 1 and 2 will be repeated (so if demand was good in Years 1 and 2, it will continue to be good in Years 3 and 4). Write out the decision tree. Note: The franchise fee payment at the end of Year 2 is known, so it should be discounted at the risk-free rate, which is 8%. Select the correct decision tree. 4 r = 13% 0 1 2 3 4 40% Prob, 1- 20.000 27.000 27.000 27.000 27.000 Good - 20.000 (r = 8%) 40% Prob r= 8% 0 1 2 3 20.000 27.000 27.000 27.000 - 20.000 (r = 13%) r = 13% 1 2 3 4 40% Prob, - 20.000 3.000 3.000 3.000 3.000 Good - 20.000 (r = 8%) r = 13% 0 1 2 3 4 40% Prob/ - 20.000 27.000 27.000 27.000 27.000 Good - 20.000 (r = 8%) Good Bad Bad 60% Prob Bad 60% Prob. Bad 0% probS 2 000 - 20.000 3.000 - 20.000 3.000 0 3.000 - 20.000 3.000 3.000 0 00% Prob. 0 20 - 20.000 27.000 27.0000 0 2000 20 3.000 3.000 00 3.000 The correct graph is -Select- Use decision-tree analysis to calculate the expected NPV of this project, including the option to continue for an additional 2 years. Negative values, if any, should be indicated by a minus sign. Round your answer to the nearest dollar