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You purchased a call on 100 shares of ABC. Use an option pricing formula that you built. Delta hedge the option thru the following changes
You purchased a call on 100 shares of ABC. Use an option pricing formula that you built. Delta hedge the option thru the following changes in price. In other words complete the table below. I gave you the first two lines. $ lost or gained on hedging
Spot Delta Gain/loss on option Total Gain/loss 50 51 53 55 50 48 45 50 0.521 0.611 0.767 0.877 0.521 0.366 0.121 0.521 +/-in Delta of shares -52.1 -9 -15.6 -11 35.6 15.5 24.5 40 Total Hedge held -52.1 -61.1 -76.7 -87.7 -52.1 -36.6 -12.1 -52.1 SSS lost or Price of gained on option per hedging share S- S 1.735 S (52) $ 2.302 $ S 3.687 $ $ 5.340 S $ 1.735 $ $ 0.879 $ $ 0.221 S $ 1.735 S- $57 S S S S S S S- $ 5 S S S $ S $ Total: S (52) $ 57 $ 5 Forward: 50 1% Strike: 50 0 Interest rate: Dividend Yield: Time to Expiration Volatility: 30 30 Days Spot Delta Gain/loss on option Total Gain/loss 50 51 53 55 50 48 45 50 0.521 0.611 0.767 0.877 0.521 0.366 0.121 0.521 +/-in Delta of shares -52.1 -9 -15.6 -11 35.6 15.5 24.5 40 Total Hedge held -52.1 -61.1 -76.7 -87.7 -52.1 -36.6 -12.1 -52.1 SSS lost or Price of gained on option per hedging share S- S 1.735 S (52) $ 2.302 $ S 3.687 $ $ 5.340 S $ 1.735 $ $ 0.879 $ $ 0.221 S $ 1.735 S- $57 S S S S S S S- $ 5 S S S $ S $ Total: S (52) $ 57 $ 5 Forward: 50 1% Strike: 50 0 Interest rate: Dividend Yield: Time to Expiration Volatility: 30 30 DaysStep by Step Solution
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