Consider a one-step binomial tree on stock with a current price of $200 that can go either up to $230 or down to $170 in 2 years. The stock does not pay dividend. Continuously compounding interest rate is 5%. Compute the payoff of a 2-year $210-strike European call option on the stock if the stock price ends up at the $230 node of the tree in 2 years.

Suppose you are short 50 contracts on a 2-year 50-call option on TSLA and long 10 contracts on TSLA stock. How much will your option position increase in value if TSLA stock price goes up by $1 (use negative number if value decreases).

Consider a one-step binomial tree on stock with a current price of $200 that can go either up to $230 or down to $170 in 2 years. The stock does not pay dividend. Continuously compounding interest rate is 5%. Use the tree to compute the value of a 2-year $210-strike European call option on the stock.

Consider a one-step binomial tree on stock with a current price of $100 that can go either up to $115 or down to $85 in 1 year. The stock does not pay dividend and interest rates are zero. Compute the payoff of a 1-year $100-strike European put option on the stock if the stock price ends up at the $115 node of the tree in 1 year.

Suppose you are long 100 contracts on a 1-year 25-put option on AMZN. How much will your option position increase in value if AMZN stock price goes down by $1 (use negative number if value decreases).