Question
A European call option and put option on a stock both have a strike price of $95 and an expiration date in one year. The
A European call option and put option on a stock both have a strike price of $95 and an expiration date in one year. The call option sells for $16. The risk-free interest rate is 10% per annum, the current stock price is $100.
(1) Use put-call parity to find the price of the put option.
(2) If the put option sells for $1.00 in the marketplace, is it over-valued or under-valued?
(3) Identify the arbitrage opportunity open to a trader. How much is the profit? Use the following table to show your positions on date t (today) and the expiration day T.
Action | Cash flow at t | Cash flow at T | |
if ST X, ST =110 | if ST < X, ST = 90 | ||
Hint: Long or Short Put? ----------- |
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Hint: Long or Short Stock?
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Hint: Long or Short Call?
-------------- | |||
Hint: Borrow or Lend?
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Total |
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