Timing Differences

The Ewert Exploration Company is considering two mutually exclusive plans for extracting oil on property for which it has mineral rights. Both plans call for the expenditure of $$11$ million to drill development wells. Under Plan A$,$ all the oil will be extracted in $1$ year, producing a cash flow at t $=1$ of $$11\mathrm{.}5$ million; under Plan B$,$ cash flows will be $$1\mathrm{.}5$ million per year for $20$ years.

What are the annual incremental cash flows that will be available to Ewert Exploration if it undertakes Plan B rather than Plan A$?($Hint: Subtract Plan A$\text{'}$s flows from B$\text{'}$s$.)$ Enter your answers in millions. For example, an answer of $$1\mathrm{.}23$ million should be entered as $1\mathrm{.}23,$ not $1,230,000.$ Round your answers to two decimal places. Use a minus sign to enter cash outflows, if any.

Year Incremental Cash Flow $($B $-$ A$)$

$1$ $

million

$2-20$ $

million

If the company accepts Plan A and then invests the extra cash generated at the end of Year $1,$ what rate of return $($reinvestment rate$)$ would cause the cash flows from reinvestment to equal the cash flows from Plan B$?$ Round your answer to two decimal places.

$\%$

Suppose a firm's cost of capital is $10\%.$ Is it logical to assume that the firm would take on all available independent projects $($of average risk$)$ with returns greater than $10\%?$ Further, if all available projects with returns greater than $10\%$ have been taken, would this mean that cash flows from past investments would have an opportunity cost of only $10\%$ because all the firm could do with these cash flows would be to replace money that has a cost of $10\%?$ Finally, does this imply that the cost of capital is the correct rate to assume for the reinvestment of a project's cash flows?

I. Yes, the firm would take on all available independent projects with greater than $10\%$ returns. If taken, risk remains the same among projects and the cost of capital does not vary with the amount of capital raised.

II$.$ No$,$ the firm would not take on all available independent projects with greater than $10\%$ returns. If taken, risk remains the same among projects and the cost of capital does not vary with the amount of capital raised.

III. Yes, the firm would take on all available independent projects with greater than $10\%$ returns. If taken, risk varies with projects and the cost of capital varies with the amount of capital raised.

$-$Select$-$

Select the correct graph for NPV profiles for Plans A and B$.$

The correct graph is

$-$Select$-$

$.$

Identify each project's IRR. Round your answers to two decimal places.

Project A:

$\%$

Project B:

$\%$

Indicate the crossover rate. Round your answer to two decimal places.

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