Capital Budgeting- NPV of a new hotel in Seoul proposed to be developed by Kim Hotels

Kim Hotels is interested in developing a new hotel in Seoul. The company estimates that the hotel would require an initial investment of $20 million. Kim expects that the hotel will produce positive cash flows of $3 million a year at the end of each of the next 20 years. The project's cost of capital is 13 percent.

a. What is the project's net present value?

b. While Kim expects the cash flows to be $3 million a year, it recognizes that the cash flow could, in fact, be much higher or lower, depending on whether the Korean government imposes a large hotel tax. One year from now, Kim will know whether the tax will be imposed. There is a 50 percent chance that the tax will be imposed, in which case the yearly cash flows will only $2.2 million. At the same time, there is a chance that the tax will not be imposed, in which case the yearly cash flows will be $3.8 million. Kim is deciding whether to proceed with the hotel today or to wait 1 year to find out whether the tax will be imposed. If Kim waits a year, the initial investment will remain at $20 million. Assume that all cash flows are discontinued at 13 percent. Using decision tree analysis, should Kim proceed with the project today or should it wait a year before deciding?