Fizzy$-$cola inc is a diversified company that sells soft drinks and snacks. A single share of Fizzy$-$Cola stock currently costs $$48\mathrm{.}00.$ You believe that if the economy remains strong this year Fizzy$-$Cola stock will have a return, oveer the next year, of $28\%.$ If the economy weakens slightly, but avoids a major recesion, Fizzy$-$Cola stock will go up by $10\%$ for the year. If the economy enters a recession, the stock will decline by $22\%.$ You believe there is a $40\%$ chance the economy will remain strong, a $40\%$ chance the economy will weaken slightly $($with no major recession$),$ and a $20\%$ chance the economy will enter a recession. Based on your estimates, what is the expected value of the price of a share of Fizzy$-$Cola stock in one year?