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# Learning OPTIONS.

Discussion in 'Options' started by powerapple, Oct 27, 2010.

1. ### powerapple

Hello,

So lately I have been starting to learn option trading through various books and there are some problems I do not quite understand, hope someone out there can help.

Well instead of asking the question up front, I'll do an example and if anyone can pick up what I have done wrong, do criticize please.

Assuming the follow table is the data for 6 European PUT Options.

Details of PUT options at close on 20 Sep XXXX. Maturity Date is on the last day of the month shown.

Maturity Date Exercise Price Fair Value Last Sale
*Last Sale Price of Stock \$13.92
Oct XX 12.00 0.28 0.03
Oct XX 12.50 0.04
Oct XX 13.00 0.10 0.09
Oct XX 13.50 1.15 0.14
Oct XX 14.00 0.35 0.33
Oct XX 14.50 0.68 0.60

The Moneyness of the Stock would be (in order)
Out
Out
Out
Out
At
In

Now to find implied Volatility of these options, implement the Black-Scholes Pricing Formula, but looking for delta that results in the price of the option that is observed in the market. I am having trouble for this latter part, I just do not know what I am to put on the Left Hand Side of the equation. Incase it is that I have my equation wrong, I will write down what I believe is the equation I am supposed to use:

f[t,P(t)] = Ke^[-r(T-t)] . N(-d2) - P(t)N(-d1)

Thank you.

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