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.

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.$

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$

Use a Cox$-$Ross$-$Rubinstein $10-$step tree to value a $1-$year European Put option on the stock with a strike

price of $$141$

Use a Cox$-$Ross$-$Rubinstein $10-$step tree to value a $1-$year American Put option on the stock with a strike

price of $$141$

Use Black$-$Scholes$-$Merton to value a $1-$year European Put option on the stock with a strike price

of $$141.($Show all the formulas$)$