The Karns Oil Company is deciding whether to drill for oil on a tract of land that the company owns. The company estimates the project would cost $$13$ million today. Karns estimates that, once drilled, the oil will generate positive net cash flows of $$6\mathrm{.}11$ million a year at the end of each of the next $4$ years. Although the company is fairly confident about its cash flow forecast, in $2$ years it will have more information about the local geology and about the price of oil. Karns estimates that if it waits $2$ years then the project would cost $$16$ million. Moreover, if it waits $2$ years, then there is a $90\%$ chance that the net cash flows would be $$6\mathrm{.}89$ million a year for $4$ years and a $10\%$ chance that they would be $$3\mathrm{.}25$ million a year for $4$ years. Assume all cash flows are discounted at $11\%.$

a$.$ If the company ch$+$ooses to drill today, 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 $1,200,000.$ Round your answer to two decimal places.

million

b$.$ Using decision$-$tree analysis, does it make sense to wait $2$ years before deciding whether to drill?