The current price of a non-dividend-paying stock is $40. over the next year it is expected to rise to $42 or fall to $37. an investor buys put options with a strike price of $41. what is the value of each option using a one-period binomial model? the risk-free interest rate is 2% per annum. assume non continuous compounding. show work, step by step. a. $3.93b. $2.93c. $1.93d. $0.93

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

the correct answer is economics is a game without winners or losers.

unlike sports or games economic is a game without losers or winner rather it is a game where everyone wins. parties of business doing businesses exchange money with each other and hence exchange is done on the basis of goods. one party takes the goods and other sales it so there is winner on both sides. each party values more highly the good it gets than the good it gives up. both sides exchange only because both intend to increase their value. so there is no concept of lose or win.