A firm has common stock currently priced at $$90.$ They need to issue new shares of stock, and will be able to do so at a price of $$90$ each. The firm's investment bankers will charge them a flotation cost equal of $7\%$ of proceeds, however. So$,$ for each share sold for $$90,$ the bankers will take $($$$90*7\%)=$$$6\mathrm{.}30,$ and the firm will receive $$90-$ $$6\mathrm{.}30=$ $$83\mathrm{.}70.$

The common stock is expected to pay a dividend of $$8$ this coming year, and dividends are expected to grow at a rate of $5\%/$year$.$

What is the cost of common stock, including the flotation costs?