a) Plot the payoff and profit of the following options based strategy: Buy 3 puts with strike 100, sell 4 puts with strike 110 and buy 1 put with strike 140. Explain all your calculations. b) If the price of the put with strike 100 is $8 and the price of the put with strike 140 is $16, what can you say about the price of the put with strike 110? Explain
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- Suppose you want to establish a bullish spread strategy. The are two call options. The first one has X1=$50 and C1=$5. The second one has X2=$42 and C2=$6. When the underlying asset price is S(t)=$45, what is the profit from the strategy? What is the maximum profit of the strategy? What is the minimum payoff of the strategy?Using S= $25, Put Option with Strike Price = $27, and put price = $4, draw a covered put profit diagram. Draw profit diagrams for each individual component of the covered put marking, maximum gain/loss, and breakeven points. When would use this strategy?2. Graph a call to buy option and explain how its payoff is given. Explain when it is in the money, at the money and out of the money.
- 1) Using the Black and Scholes formula, for each payoff compute the price, delta and probability of being exercised: 1a) A call, K=90, So=100, T=0.25, o=0.2 and r=0.01. 1b) A put, K=37, So=35, T=0.3, o=0.3 and r=0.02. 1c) A call, K=23, So=24, T=5 months, o=24% and r=2%. 1d) A call, K=95% of So, So=50, T=9 months, o=50% and r=3%. 1e) A put, K=97% of So, So=95, T=1 year, o=D30% and r=2%. 1f) An "at-the-money" straddle, So=95, T = 3 months, o=35% and r=2%.a. Explain the covered call options strategy b. Graphically show a covered call options strategy, including payoff. Explain why an investor mayuse this option strategy.c. Using put-call parity, explain the shape of the payoff line (in part (a) of this question). Whatoption position does it look like and why?Consider the following portfolio. You write a put option with exercise price 90 and buy a put option on the same stock with the same expiration date with exercise price 95.a. Plot the value of the portfolio at the expiration date of the options.b. On the same graph, plot the profit of the portfolio. Which option must cost more?
- A game of chance offers the following odds and payoffs. Each play of the game costs $200, so the net profit per play is the payoff less $200. Probability Payoff Net Profit 0.10 $700 $500 0.50 300 100 0.40 0 –200 a-1. What is the expected cash payoff? (Round your answer to the nearest whole dollar amount.) a-2. What is the expected rate of return? (Enter your answer as a percent rounded to the nearest whole number.) b-1. What is the variance of the expected returns? (In the calculation, use the percentage values, not the decimal values for the rates of return. Do not round intermediate calculations. Round your answer to the nearest whole number.) b-2. What is the standard deviation of the expected returns? (Enter your answer as a percent rounded to 2 decimal places.)For each of the following option positions state the risk profile, draw the profit and loss area and show the breakeven price on each graph. a) Long 7.00 call @ 0.30 b) Short 7.00 call @ 0.30 Risk profile: Risk profile: c) Long 7.00 put @ 0.20 d) Short 7.00 put @ 0.20 Risk profile: Risk profile:Calculate the price of a call and a put option based on the Black-Scholes option pricing.
- Use the following payoff matrix for a one-shot game to answer the accompanying questions. Player 1 Strategy A B Player 2 Y 12, 12 6,-30 -30, 6 30, 30 a. Determine the Nash equilibrium outcomes that arise if the players make decisions independently, simultaneously, and without any communication. Instructions: In order to receive full credit, you must make a selection for each option. For correct answer(s), click the box once to place a check mark. For incorrect answer(s), click twice to empty the box. ?(-30, 6) ? (12, 12) ? (6.-30) ? (30, 30) Which of these outcomes would you consider most likely? O (30,30) O (-30, 6) O (12, 12) O (6.-30) b. Suppose player 1 is permitted to "communicate" by uttering one syllable before the players simultaneously and independently make their decisions. What should player 1 utter? OA OB What outcome do you think would occur as a result? O (12, 12) O (-30, 6) O (30,30) (6,-30) c. Suppose player 2 can choose its strategy before player 1, that player 1…using the chart, how much should the call option worth. please show how to solve this in excel and the formulasExplain the call-put parity relation and how it is justified. Black-Scholes-Merton formula uses five variables to calculate the price of call and put options. Explain each of these variables incorporated in Black-Scholes-Merton formula. Show how the change in these variables affects the price of option. Show how these variables are grouped to show put-call parity relationship and suggest the condition in which there is an arbitrage opportunity. (Explain each of the things in detail with an appropriate examples)