A stock is currently priced at $73 and will move up by a fac…
A stock is currently priced at $73 and will move up by a factor of 1.26 or down by a factor of .83 over the next period. The risk-free rate of interest is 3.4 percent and the strike price is $74.(1) What is the up price (i.e., stock price in the high state, SH)? (4 pts)A. $85.95B. $91.98C. $74.00D. $57.67(2) What is the down price (i.e., stock price in the low state, SL)? (4 pts)A. $60.59B. $52.78C. $73.83D. $85.95(3) What is the value of the call option in up price (i.e., call option price in the high state, CH)? (4 pts)A. $0B. $8.25C. $17.98D. $1.98(4) What is the value of the call option in down price (i.e., call option price in the low state, CL)? (4 pts)A. $17.98B. $1.00C. $0D. $8.05(5) What is the delta (i.e., the number of shares of the stock)? (4 pts)A. 0.128B. 0.573C. 0.740D. 0.985(6) What is the B (i.e., the number of dollars in the risk-free asset)? (4 pts)A. −8.25B. 0C. −33.56D. −57.30(7) What is the price of the call option today (i.e., C₀)? (4 pts)A. $3.40B. $4.70C. $8.25D. $12.50(8) What is the risk-neutral probability (i.e., π)? (4 pts)A. 0.20B. 0.36C. 0.474D. 0.62(9) What is the option price today C₀ using the risk neutral probabilities approach? (4 pts)A. $4.83B. $8.25C. $17.98D. $6.90(10) Does the two valuation methods (i.e., Replicating (Hedge) portfolios and risk-neutral probabilities) give you the same call option price? (4 pts)A. Yes, they always produce the same option price.B. No, they only match when volatility is high.C. No, the replicating method gives a higher value.D. No, the risk-neutral method gives a lower value.
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