Question

In: Finance

Brittney buys a call with strike $85 and sells a call with strike $110 on Dow...

Brittney buys a call with strike $85 and sells a call with strike $110 on Dow Jones. The $85 strike call costs $10 while the $110 strike costs $8. Brittney's maximum profit on this strategy is

Infinity

$25

$23

$27

Solutions

Expert Solution

OPTION B $23 is correct

Net Outflow on Strategy

Buy 85 Strike Call = -10

Sell 110 Strike Call = +8

Net Outflow (Cost of strategy) = 2

From the 85 Strike call option we will receive a positive payoff when the strike price is above 85, but if the strike price is above 110, positive payoff from 85 strike call will be set off by 110 strike call (which we have sold)

Therefore we will have the maximum payoff from the strategy at 110 and above

Stock Price Payoff From 85 Call Payoff From 110 Call Total Payoff Cost of Strategy Profit
70 0 0 0 2 -2
75 0 0 0 2 -2
80 0 0 0 2 -2
85 0 0 0 2 -2
90 5 0 5 2 3
95 10 0 10 2 8
100 15 0 15 2 13
105 20 0 20 2 18
110 25 0 25 2 23
115 30 -5 25 2 23
120 35 -10 25 2 23
125 40 -15 25 2 23
130 45 -20 25 2 23
135 50 -25 25 2 23
140 55 -30 25 2 23

Therefore Maximum Profit from the strategy is 23 as shown in the diagram


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