Metal Inc. has not issued a dividend. It is management's intention to do so beginning three years from today. The initial annual dividend is expected to be $$3\mathrm{.}00.$ Over the subsequent three years the annual dividends are expected to grow by $15\%$ per year and then $10\%$ per year for $4$ years before slowing to a permanent growth rate of $3\mathrm{.}5\%$ per year. Determine the value $($as of today$)$ of the dividends that are the result of non$-$constant growth. Assume the cost of capital for Metal is $10\%$ per year.