You own some shares of company ABC. ABC is expected to pay a dividend of $$5$ next year. The dividend will grow at $10\%$ per year for two years, then at $5\%$ forever. The ROE for ABC is $12\%.$ The payout ratio is $0\mathrm{.}3.$

a$.$ What$$s the price of the stock today?

b$.$ What$$s the price of the stock in $1$ year?

c$.$ What is the terminal value of the stock?

d$.$ What is D$0?$

e$.$ What is D$1-$D$5?$