Question 1 Draw the payoff diagrams of the following options combinations (between price range of 40-120). a) Option Type Put Call Strike 50 80 Position Long 1 Long 1 You are long 1 put option with K-50 and long 1 call option with k=80 b) Option Type Put Call Call Strike 60 Position Short 1 80 Long 1 100 Long 1 I + Cash 40 Besides you have 40 in cash, you are short 1 put option with K-60, Long 1 call options with k=80 and Long 1 call option with k=100.
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- Use the Black-Scholes model to value a call option with the following data: Price $34 Exercise price 30 Risk-free rate 0.04 time to expiry 0.5 0.31557 0.099584 0.762113 0.538972 0.777004 0.705047 Post your answer with 2 decimal places 5 0² d1= d2= Nd1= Nd2=You have the following data on call prices covering the same asset with the same expiration date. Strike Price. Call Option Price $40 -----------$10.50 $45-------------$6.50 $50-------------$3.00 a)Suppose an investor purchases one option with X = $40 and one with X = $50, but sells two options with X = $45. Assuming no transaction costs, in what range of asset prices does the investor make a positive net profit? b)Based on the above strategy, what is the investor’s maximum potential dollar profit and maximum potential dollar lossWhat is the EMV for Option 2 in the following decision table option 1 probably is .30 and Fav. $ 15000 and UNFav $20000 and option 2. Probably is .70 and Fav. $ 10000 and UNFav 30000 . a. 16,000 b. 24,000 c. 10,000 d. 20,000
- I2 Consider a pair of call and put options with the same expiration date but different strike prices. Theput option has a strike price of $45 and is currently priced at $6.00. The call option has a strike priceof $35 and is currently trading at a price of $6.50. The current stock price is $40 per share. A traderis evaluating a trading strategy involving the following option positions: Long 1 put options (with strike price $45) Long 2 call option (with strike price $35) a)Draw a figure/graph illustrating the profit/loss of the trading strategy. Make sure you scale and labelall the lines and points properly so that gains and losses are clearly shown.b)For what range of stock prices would the trader end up with a profit if the strategy is executed?c)Discuss the main characteristics of this strategy. When is it appropriate to use such a strategy?Question 1 (Mandatory) Which of the following equations calculates a put option's value? Os.et. N(d2) - K N(da) OK.ert. N(d2) - S. N(d) Os.e*t. N(-d2) - K N(-dg) OK.et.N(-d2)- S N(-d1) Question 2 (Mandatory) The forward price is determined at contract initiation but changes during the life of the forward contract. O True FalseLabel the following for this diagram: a. Name of options payoff b. Identify whether positive or negative premium c. Identify breakeven point d. What is the profit or loss when stock price is S60 at maturity e. Suppose you have this options position, should you exercise your right (if any) assuming that the stock price is $60 at maturity? Option Payoffs and Profits Long put $40 $20 $0 Option Payoff Option Profit Exerche Price $20 S40 $20 $40 S60 $80. Stock Price At Maturity Payoff and Profit
- Suppose you write the following put option (1 option, not 1 contract containing 100 options). What is the payoff and profit at expiration if the stock price is $75? Put Strike Symbol 80 ABC210621C00040000 Last 3.32 a. payoff is -5.00; profit is 1.68 X b. payoff is -5.00; profit is 3.32 c. payoff is 0; profit is 0 d. payoff is -5.00; profit is -1.68 e. payoff is 0; profit is -3.32 Chg 1.47help meUsing the attached option pricing model and related data K = 45; St = 40 t = 4/12; r =03; SD/σ = 0.4; N = 0.07, calculate the value of the call option
- Q4 Using the Put-Call Parity relationship, find the value of a put option (same strike, expiration as the call option) using the following information: Current stock price 6% Call option strike price $6.56 Option time to maturity $33 $32 1 years risk-free rate Call option current value SHOW WORK HERE, HIGHLIGHT FINAL ANSWER IN YELLOWQ2: Given the following inputs for YMMV: Interest rate 3.25 Dividend rate 3.00 Spot Price Volatility (%) 30.21 12.00 Strike Price 30.00 Expiry (months) T Option type 12 European Put a) Compute u, d, Pup; Pdn, Construct a 3 step tree and price the option.The information below is used to answer Questions 1-3. n Option A Option B 0 -10,000 -20,000 1 5,500 2 5,500 5,500 40,000 D Question 1 Calculate i for Option A and determine if Option A is a viable investment. OP- 0.3%, bad investment OP- 30%, bad investment OP- 30%, viable investment Or-0.3%, viable investment