Calculate the intrinsic value and time value from the mid market (average of bid and ask) prices for the mber call options in Table 1.20. Do the same for the September put options in Table 1.3. Assume in ase that the current mid market stock price is $316.00.
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- Consider the three stocks in the following table. Pt represents price at time t, and ot represents shares outstanding at time t. Stock C splits two for one in the last period. Stock Po P1 21 75 65 75 75 75 55 150 50 150 50 150 110 150 115 150 60 300 A B с с 20 75 P2 a. Rate of return b. Rate of return Required: Calculate the first-period rates of return on the following indexes of the three stocks (t=0 to t= 1): Note: Do not round intermediate calculations. Round your answers to 2 decimal places. a. A market-value-weighted index. b. An equally weighted index. 22 % %Consider the three stocks in the following table. Pt represents price at time t, and ot represents shares outstanding at time t. Stock C splits two for one in the last period. Stock Po A 50 B 45 с 90 120 20 P1 a. Rate of return b. Rate of return 21 60 60 60 120 35 120 95 120 02 60 60 35 120 50 240 P2 Required: Calculate the first-period rates of return on the following indexes of the three stocks (t = 0 to t = 1): Note: Do not round intermediate calculations. Round your answers to 2 decimal places. a. A market-value-weighted index. b. An equally weighted index. % %Use the Black-Scholes formula to find the value of a call option based on the following inputs. (Round your final answer to 2 decimal places. Do not round intermediate calculations.) Stock price Exercise price Interest rate Dividend yield Time to expiration Standard deviation of stock's returns Call value GA $ $ $ 48 60 0.07 0.04 0.50 0.26
- Consider the three stocks in the following table. Pe represents price at time t, and Qe represents shares outstanding at time t Stock C splits two for one in the last period. Stock A B С PO 80 85 35 20 275 650 950 a. Rate of return b. New divisor c. Rate of return P1 85 80 50 01 275 650 950 % P₂ Required: a. Calculate the rate of return on a price-weighted index of the three stocks for the first period (t=0 to t= 1). Note: Do not round intermediate calculations. Round your answer to 2 decimal places. b. Calculate the new divisor for the price-weighted index in year 2. Note: Do not round intermediate calculations. Round your answer to 2 decimal places. c. Calculate the rate of return for the second period (t=1 to t=2). Note: Round your answer to 2 decimal places. % 85 80 25 02 275 650 1,900Suppose that call options on a stock with strike prices $100 and $106 cost $8 and $5, respectively. How can the options be (the profits from option positions and the total profit).Use the data in the figure 20.1 and calculate thepayoff and the profits for investments in each ofthe following January expiration options, assumingthat the stock price on the expiration date is $125.a. Call option, X=$120b. Put option, X=$120c. Call option, X=$125d. Put option, X=$125e. Call option, X=$130f. Put option, X=$130
- Use the Black-Scholes formula to find the value of a call option based on the following inputs. Note: Do not round intermediate calculations. Round your final answer to 2 decimal places. Stock price Exercise price Interest rate Dividend yield Time to expiration Standard deviation of stock's returns Call value $ 51 $ 64 0.068 0.04 0.50 0.265Consider two put options on different stocks. The table below reports the relevant information for both options: Put optionTime to maturityCurrent price of underlying stockStrike priceVolatility ( )X1 year$27$1830%Y1 year$25$2030%All else equal, which put option has a lower premium? A.Put option Y B.Put option XII. Suppose you have the following information concerning a particular options.Stock price, S = RM 21Exercise price, K = RM 20Interest rate, r = 0.08Maturity, T = 180 days = 0.5Standard deviation, = 0.5 a. What is correct of the call options using Black-Scholes model? b. Compute the put options price using Black-Scholes model? c. Outline the appropriate arbitrage strategy and graphically prove that the arbitrage is riskless.Note: Use the call and put options prices you have computed in the previous question (a) and (b) above.b. Name the options/stock strategy used to proof the put-call parity. c. What would be the extent of your profit in (a) depend on?
- Assume the stock’s future prices of stock A and stock B as the following distribution State Future Price Stock A Future price Stock B 1 $10 $7 2 $8 $9 If the time 1 price of stock A is $6, and the time 1 price of stock B is $5. And C1 represents the time 1 price of claim on state 1, C2 represents the time 1 price of claim on state 2 Use the information about stock prices and payoffs to Find the time 1 price C1 and C2. Find the risk–free rate of return, obtained in this market.Consider the three stocks in the following table. Pt represents price at time t, and Qt represents shares outstanding at time t. Stock C splits two-for-one in the last period. A B C Pe 86 46 92 Rate of return Divisor Q0 100 200 200 P1 91 41 102 Rate of return Required: a. Calculate the rate of return on a price-weighted index of the three stocks for the first period (t=0 to t= 1). (Do not round intermediate calculations. Round your answer to 2 decimal places.) 4.14 % 91 100 200 200 P2 91 41 51 b. What will be the divisor for the price-weighted index in year 2? (Do not round intermediate calculations. Round your answer to 2 decimal places.) 2% 92 100 200 400 c. Calculate the rate of return of the price-weighted index for the second period (t=1 to t = 2).Consider the three stocks in the following table. P+ represents price at time t, and ot represents shares outstanding at time t. Stock C splits two-for-one in the last period. A B с Po 83 43 86 Rate of return Divisor lo 100 200 200 Rate of return L P1 88 38 96 Required: a. Calculate the rate of return on a price-weighted index of the three stocks for the first period (t=0 to t= 1). (Do not round intermediate calculations. Round your answer to 2 decimal places.) 2.35 4.71% …….... 01 100 200 200 b. What will be the divisor for the price-weighted index in year 2? (Do not round intermediate calculations. Round your answer to 2 decimal places.) P₂ 88 38 48 % 2₂ 100 200 400 c. Calculate the rate of return of the price-weighted index for the second period (t = 1 to t=2).