Question

In: Finance

9.A trader creates a bear spread by selling a six-month put option with a $50 strike...

9.A trader creates a bear spread by selling a six-month put option with a $50 strike price for $4.50 and buying a six-month put option with a $60 strike price for $9.50. What is the initial investment? What is the profit on the trade at maturity when the then stock price is (a) $46, (b) $56, and (c) $66?

Solutions

Expert Solution

Position:

Long put option strike of $60 @ $9.50

Short put option strike of $50 @ $4.50

Therefore, net investment = premium paid - premium received = 9.50 - 4.50 = $ 5.00

Profit at maturity:

Spot at maturity Value of long put option (Strike $60) Value of Short put option (Strike $60) Value of position Premium paid Net profit / (loss)
           46.00                             14.00                               4.00         10.00           5.00               5.00
           56.00                               4.00 0.00           4.00           5.00 (-1.00)
           66.00 0.00 0.00 0.00           5.00 (-5.00)

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