TSLA is a non$-$dividend paying stock. The price of one TSLA share today is $$141.$ TSLA price volatility is $71\%$ per annum. The Treasury spot curve is flat at $4\%$ per annum.

$1.$ Use a Cox$-$Ross$-$Rubinstein $2-$step tree to value a $1-$year European Put option on the stock with a strike price of $$141.$

$2.$ Use a Cox$-$Ross$-$Rubinstein $2-$step tree to value a $1-$year American Put option on the stock with a strike price of $$141$

Answer this questions for question $1$ and question $2$ Strike price $=?$

Discount factor per step $=?$

Time step, dt $=?$

Growth factor per step, a $=?$

Probability of up move, p $=?$

Up step size, u $=?$

Down step size, d $=?$