Analysts expect RJR Nabisco to generate free cash flow of $$1\mathrm{.}15$ billion at the end of $1988.$ Assume that cash flows occur on December $31$ and today is January $1,1988.$ Analysts expect RJR$$s cash flow to grow at $5\%$ in perpetuity. RJR has a capital structure policy of maintaining its debt at $20\%$ its value and it is committed to maintaining that ratio in perpetuity. The required return of shareholders is $12\mathrm{.}5\%$ and the required return of lenders is $10\%.$ The tax rate is $40\%.$ There are $250\mathrm{.}612$ million shares outstanding. Use this information to answer the following questions.

Part $1$

What is the price of an RJR share? Round your answer to the nearest cent.