NexaTech Solutions specializes in providing advanced technological services for smart homes and businesses. NexaTech has decided on a new expansion plan. They plan to grow their book value by $10\%$ per year for the next two years. They are confident they can provide an ROE of $20\%$ in these two years. From year $3,$ since they do not envision further expansion, they plan to payout $100\%$ of their earnings, after which point the ROE will be constant at $15\%.$ NexaTech$$s book value at the moment is $$50$ per share. The discount rate for NexaTech is $15\%.$

Using this information,

a$1)$ Calculate the dividends they will issue in year $1$ D$1.$

a$2)$ Calculate the dividends they will issue in year $2$ D$2.$

b$)$ Assume the book value at time $2$ is B$2=$ $$60.$ Calculate the dividends from year $3$ onward.

c$)$ Assume the dividend in year $3$ is $$10.$ Calculate the PV $($at time $0)$ of the terminal value of these dividends starting from year $2.$

d$)$ Assume the dividends in periods $1$ and $2$ are both $$5$ and the PV $($at time $0)$ of the terminal value is $$50.$ Calculate the value of a share of NexaTech

e$)$ Do you support or oppose this expansion plan?answer the following: