Consider a binomial world in which a stock can go up in value by $20\%$ or down by $10\%$ over the next year. The stock is currently trading at

$$100.$ The annual risk$-$free rate is $5\%.$ Consider a Call option that expires in one year and has a strike price of $$110.$

A$.(*)$ What should be the current value of the Call option? $

$($Use at least four decimals for intermediate calculations, and write your final answers with two decimals$)$

B$.{(}^{(**)})$ If the Call option was trading for $$3\mathrm{.}20,$ complete the following table reporting the cash flows of an arbitrage strategy.

$($Use at least four decimals for intermediate calculations, and do not add $"+"$ in front of positive cash flows$)$

ARBITRAGE STRATEGY $-$ CASH FLOW TABLE