Question
You are given the following information on a series of options on Bumble (stock price of 55) expiring in 48 days: Call X=50 C(X 1
- You are given the following information on a series of options on Bumble (stock price of 55) expiring in 48 days:
| Call |
X=50 | C(X1)= 8.1 |
X=55 | C(X2)= 5.3 |
X=60 | C(X3)= 4.4 |
- Complete the following payoff table for the payoff of a short butterfly call spread, at expiration:
ST | Leg 1 | Leg 2 | Leg 3 | Short Butterfly Call Spread |
40 |
|
|
| |
42.5 |
|
|
| |
45 |
|
|
| |
47.5 |
|
|
|
|
50 |
|
|
|
|
52.5 |
|
|
|
|
55 |
|
|
|
|
57.5 |
|
|
|
|
60 |
|
|
|
|
62.5 |
|
|
|
|
65 |
|
|
|
|
67.5 |
|
|
|
|
70 |
|
|
|
|
[8 marks]
- What is the cost of forming this strategy?
- Use the following table, as a guide, to write down algebraically the payoffs for this strategy, and to find the breakeven point for this strategy:
|
|
|
|
|
Leg 1 |
|
|
|
|
Leg 2 |
|
|
|
|
Leg 3 |
|
|
|
|
Net |
|
|
|
|
Break evens = ___________________________________ _______________
[10 marks]
d) Some of the Greeks for the three options, used above, are given below:
X | Call Delta | Call Vega | Call Gamma | Call Theta | Call Rho |
50 | 0.7 | 6.9 | 0.0274 | -16.7795 | 4.07 |
55 | 0.55 | 7.9 | 0.0314 | -19.1522 | 3.29 |
60 | 0.4 | 7.69 | 0.0305 | -18.6102 | 2.46 |
Calculate the delta, vega, gamma, theta and rho of the short butterfly call spread and comment in the sensitivities:
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