Digital Timber International $($DTI$)$ is a developer of distributed data storage technologies. The profitability of DTI and its investment policy are summarized in the following table:

$0123$

Expected Earnings per Share $$25\mathrm{.}7$

Plow$-$Back Ratio $0\mathrm{.}870\mathrm{.}550$

Book Value per Share $$100$

Assume that without new investments, expected earnings of DTI would remain at their time$-1$ level in perpetuity. All investments are expected to generate a constant level of incremental earnings per year in perpetuity for each $$1$ of investment. For the time$-1$ investment, the cash flow is $$0\mathrm{.}2$ per $$1$ invested, and for the time$-2$ investment, it is $$0\mathrm{.}15.$ For an investment made at time t$,$ incremental cash flows are generated starting in year t $+1.$ The plow$-$back ratio will remain equal to $0$ after year $3.$ The appropriate discount rate for all future cash flows of DTI is $12\mathrm{.}2\%.$c$)$ Compute the expected value of the ex$-$dividend stock price at time $2.$

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Question $4,$ Part $($d$)$

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$($d$)$ Compute the expected value of the ex$-$dividend stock price at time $0.$

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Question $4,$ Part $($e$)$

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$($e$)$ Compute the expected return $($over a single$-$period$)$ on the stock of DTI at time $0($in $\%).$