Question
Use the following option quotes for the remaining questions on the test: Stock Price Strike Price Maturity Call Price Put Price 165.125 160 Jul 6.000
Use the following option quotes for the remaining questions on the test:
Stock Price | Strike Price | Maturity | Call Price | Put Price |
165.125 | 160 | Jul | 6.000 | 0.750 |
165.125 | 160 | Aug | 8.125 | 2.750 |
165.125 | 160 | Oct | 11.125 | 4.500 |
165.125 | 165 | Jul | 2.688 | 2.375 |
165.125 | 165 | Aug | 5.250 | 4.750 |
165.125 | 165 | Oct | 8.125 | 6.750 |
165.125 | 170 | Jul | 0.812 | 5.750 |
165.125 | 170 | Aug | 3.250 | 7.500 |
165.125 | 170 | Oct | 6.000 | ??? |
The quotation date is July 6. The stock pays no dividends, and all the options are European. The option expirations are July 17, August 21, and October 16, with corresponding (annual) continuously-compounded risk-free rates of .0503, .0535, and .0571, respectively. The associated number of days to expiration are 11, 46 and 102.
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The market price for the October 170 put is left out of the table. In the absence of arbitrage, and assuming zero transaction costs, what must be the market price of this put option?
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