Kim Hotels is interested in developing a new hotel in Seoul. The company estimates that the hotel would require an initial investment of $$18$ million. Kim

expects the hotel will produce positive cash flows of $$2\mathrm{.}88$ million a year at the end of each of the next $20$ years. The project's cost of capital is $12\%.$

The data has been collected in the Microsoft Excel Online file below. Open the spreadsheet and perform the required analysis to answer the questions

below. Do not round intermediate calculations.

Open spreadsheet

a$.$ What is the project's net present value? A negative value should be entered with a negative sign. Enter your answer in millions. For example, an

answer of $$1\mathrm{.}2$ million should be entered as $1\mathrm{.}2,$ not $1,200,000.$ Do not round intermediate calculations. Round your answer to two decimal places.

$

million

b$.$ Kim expects the cash flows to be $$2\mathrm{.}88$ million a year, but it recognizes that the cash flows could actually 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 $50\%$

chance that the tax will be imposed, in which case the yearly cash flows will be only $$1\mathrm{.}8$ million. At the same time, there is a $50\%$ chance that the

tax will not be imposed, in which case the yearly cash flows will be $$3\mathrm{.}96$ million. Kim is deciding whether to proceed with the hotel today or to wait

a year to find out whether the tax will be imposed. If Kim waits a year, the initial investment will remain at $$18$ million. Assume that all cash flows

are discounted at $12\%.$ Use decision$-$tree analysis to determine whether Kim should proceed with the project today or wait a year before deciding.