Answer:
D. $0.93
Explanation:
Upmove (U) = High price/current price
= 42/40
= 1.05
Down move (D) = Low price/current price
= 37/40
= 0.925
Risk neutral probability for up move
q = (e^(risk free rate*time)-D)/(U-D)
= (e^(0.02*1)-0.925)/(1.05-0.925)
= 0.76161
Put option payoff at high price (payoff H)
= Max(Strike price-High price,0)
= Max(41-42,0)
= Max(-1,0)
= 0
Put option payoff at low price (Payoff L)
= Max(Strike price-low price,0)
= Max(41-37,0)
= Max(4,0)
= 4
Price of Put option = e^(-r*t)*(q*Payoff H+(1-q)*Payoff L)
= e^(-0.02*1)*(0.761611*0+(1-0.761611)*4)
= 0.93
Therefore, The value of each option using a one-period binomial model is 0.93
