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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

  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

  1. 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]

  1. What is the cost of forming this strategy?
  2. 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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