Question

In: Finance

Recall that to create a ‘butterfly spread’, an investor buys one unit of an in-themoney call...

Recall that to create a ‘butterfly spread’, an investor buys one unit of an in-themoney call option, buys one unit of an out-of-the money call option, and sells two units of an at-the-money call option. Three European call options with exercise prices of 45, 50, and 55 are currently trading in the market. These options have the same expiration date and are on the same underlying stock. The stock is currently trading at a price of 50. i. Graph the payoff diagram of the butterfly spread at maturity. ii. What view on the future direction of the underlying stock price does an investor who purchases this butterfly spread hold?

Solutions

Expert Solution

QUESTION (i)

Step 1 - Strategy

To create a butterflu spread we will have to

a) Buy one call option of 45 Strike price

b) Sell two call options of 50 Strike price

c) Buy one call option of 55 Strike Price

Step - 2 Calculation of payoff from the strategy at various strike price on expity

Max(ST-45,0) -Max(ST-50,0)*2 Max(ST-55,0)
Stock Price on Expiry (ST) Payoff from buying one call of 45 Strike Payoff from Selling two call of 50 Strike Payoff from buying one call of 55 Strike Total Payoff
40 0 0 0 0
41 0 0 0 0
42 0 0 0 0
43 0 0 0 0
44 0 0 0 0
45 0 0 0 0
46 1 0 0 1
47 2 0 0 2
48 3 0 0 3
49 4 0 0 4
50 5 0 0 5
51 6 -2 0 4
52 7 -4 0 3
53 8 -6 0 2
54 9 -8 0 1
55 10 -10 0 0
56 11 -12 1 0
57 12 -14 2 0
58 13 -16 3 0
59 14 -18 4 0
60 15 -20 5 0

Payoff Diagram of this Strategy

QUESTION (ii)

View on the future direction of underlying stock price

An investor buying a Butterfly calll Spread has a view that stock price will "remain rangebound" , In this scenario investor expects that stock price will remain in the range of 45-55,

Till the stock price of the remains in the range of 45-55 investor will get a positive payoff which is shown in the diagram above


Related Solutions

An investor buys a butterfly spread on COPCO stock by buying one put option with an...
An investor buys a butterfly spread on COPCO stock by buying one put option with an exercise price of $50 for $1, buying one put option with an exercise price of $60 for $7 and selling two put options with an exercise price of $55 for $3 each. (above relates to the 3 questions below) (Please show workings) 1. If COPCO’s expiration date stock price is $48, the investor’s profit is: (a) $5 (b) -$2 (c) $1 (d) -$7. 2....
1.A butterfly spread is the purchase of one call at exercise price X1, the sale of...
1.A butterfly spread is the purchase of one call at exercise price X1, the sale of two calls at exercise price X2, and the purchase of one call at exercise price X3. X1 is less than X2, and X2 is less than X3 by equal amounts (i.e., X2 – X1 = X3 – X2), and all calls have the same expiration date. If X1 = $10, X2 = $15, X3= $20, what is the minimum and maximum payoff of this...
a)    Demonstrate how a butterfly spread can be constructed using either put or call options and...
a)    Demonstrate how a butterfly spread can be constructed using either put or call options and discuss the circumstances under which a trader might construct such a strategy.
Calculate the rate of return to an investor who buys one call option contract on common...
Calculate the rate of return to an investor who buys one call option contract on common stock of XYZ with exercise price of $150 and maturity of six months for $10.20 per option if an actual market price of XYZ in 6 months is $160. Input your answer in %
Use the put-call parity relationship to demonstrate that a butterfly spread using calls should cost the...
Use the put-call parity relationship to demonstrate that a butterfly spread using calls should cost the same as a butterfly spread using puts, when the underlying asset, strike price and maturity dates of each spread are the same.
Create iron butterfly spread in excel, define its legs and draw the graph? ( use put,...
Create iron butterfly spread in excel, define its legs and draw the graph? ( use put, call and/or premium )
Question 1: An investor buys a call and a put of apple at the same strike...
Question 1: An investor buys a call and a put of apple at the same strike ($105) and same maturity (6 months from today). The prices for call and put are $3 and $2.5, respectively, and the current price for apple is $105. Three month later, investor make money from selling the call and put at the same time. Assume that there is no transaction cost, what are all possible ranges of the price for the apple stock after 3...
An investor buys a European call on a share for $5. The current stock price is...
An investor buys a European call on a share for $5. The current stock price is $102 and the strike price is $100. (a) Under what circumstances will the investor make a profit (have positive profit) on the expiration date? (b) Under what circumstances will the option be exercised on the expiration date? (c) Please draw a diagram showing how the investor’s profit depends on the stock price on the expiration date. To put it another, draw a diagram showing...
Suppose a novice investor buys a call option on 45,000 barrels of oil with an exercise...
Suppose a novice investor buys a call option on 45,000 barrels of oil with an exercise price of $45 per barrel and simultaneously buys a put option on 45,000 barrels of oil with the same exercise price of $45 per barrel. Her net payoff per barrel on these option contracts is ________ if the market price per barrel is $43 and ________ if the price per barrel is $47. A) −$2; $2 B) −$2; $0 C) $0; $2 D) $2;...
An investor buys 100 shares of a stock, shorts 60 call options on the stock with...
An investor buys 100 shares of a stock, shorts 60 call options on the stock with strike price of $20 and buys 60 put options on the stock with strike price of $10. All options are one-year European options. Draw a diagram illustrating the value of the investor’s portfolio as a function of the stock price after one year.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT