Cooperton Mining just announced it will cut its dividend from $$4\mathrm{.}15$ to $$2\mathrm{.}61$ per share and use the extra funds to expand. Prior to the announcement, Cooperton's dividends were expected to grow at a $3\mathrm{.}4\%$ rate, and its share price was $$48\mathrm{.}17.$ With the planned expansion, Cooperton's dividends are expected to grow at a $4\mathrm{.}6\%$ rate. What share price would you expect after the announcement? $($Assume that the new expansion does not change Cooperton's risk.$)$ Is the expansion a good investment?

The new price for Cooperton's stock will be $$,.($Round to the nearest cent.$)$

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