$(30$ points$).$ Newmont Mining Corporation currently pays a dividend of $$0\mathrm{.}40.$ This dividend is expected to grow to $$0\mathrm{.}60$ next year, then grow at an annual rate of $6$ percent for the following $3$ years and $4$ percent per year thereafter. You require a $12$ percent rate of return on this stock.

a$.$ What would you be willing to pay for a share of Newmont Mining stock today? $(16$ points$)$

b$.$ What price would you anticipate the stock selling for at the beginning of year $5?(11$points$)$

c$.$ If you anticipated selling the stock at the end of three years, how much would you pay for it today? $(3$ points$)$