Question

Trading strategy called profitmania is created by taking below calls in the table calls strike price...

Trading strategy called profitmania is created by taking below calls in the table

calls strike price premium
2 long call k1 c1
1 short put k2 p2
1 long put k3 p3

K1 < k2 < k3 is the strike price condition

Please express the break-even stock prices using and

Homework Answers

Answer #1

Profit from long call=MAX(stockprice-strike price,0)-call premium

Profit from short put=-MAX(strike price-stock price,0)+put premium

Profit from long put=MAX(strike price-stock price,0)-put premium

Profit=2*MAX(St-K1,0)-2*C1-MAX(K2-St,0)+P2+MAX(K3-St,0)-P3

St<K1: Profit=-2*C1-K2+St+P2+K3-St-P3=-2C1-K2+P2+K3-P3
k1<St<k2: Profit=2St-2K1-2C1-K2+P2+K3-P3
k2<St<K3: Profit=St-2K1-2C1+P2+K3-P3
St>K3: Profit=2St-2K1-2C1+P2-P3

At breakeven: Profit is equal to zero

Hence,
1.
-2C1-K2+P2+K3-P3=0

2.
2St-2K1-2C1-K2+P2+K3-P3=0
=>St=K1+C1+(K2-P2-K3+P3)/2

3.
St-2K1-2C1+P2+K3-P3=0
=>St=2K1+2C1-P2-K3+P3

4.
2St-2K1-2C1+P2-P3=0
=>St=K1+C1+(-P2+P3)/2

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