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A 1-week European call option on the Apple stock is trading at $4. A 1-week European...

A 1-week European call option on the Apple stock is trading at $4. A 1-week European put option with the same strike price is trading at $3.5. An investor longs a straddle using these two options. What is the maximum loss for this investor at the option maturity? Please provide your answer in unit of dollars without the dollar sign.

Solutions

Expert Solution

LONG STRADDLE STRATEGY Cost
1. BUY CALL at Strike Price X $4
2. BUY PUT at Strike Price X $3.50
Total Cost $7.50
Assume X=$100
Price at Expiration =S
Payoff for Long (Buy) CALL:
Payoff =Max.((S-100),0)
Payoff for Long (Buy) PUT:
Payoff =Max.((100-S),0)
S A B C=A+B-7.5
Price at Expiration Payoff Long CALL Payoff Long PUT Net Profit
90 0 10 2.5
91 0 9 1.5
92 0 8 0.5
93 0 7 -0.5
94 0 6 -1.5
95 0 5 -2.5
96 0 4 -3.5
97 0 3 -4.5
98 0 2 -5.5
99 0 1 -6.5
100 0 0 -7.5
101 1 0 -6.5
102 2 0 -5.5
103 3 0 -4.5
104 4 0 -3.5
105 5 0 -2.5
106 6 0 -1.5
107 7 0 -0.5
108 8 0 0.5
109 9 0 1.5
110 10 0 2.5
MAXIMUM LOSS TO THE INVESTOR 7.50 dollars

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