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Asian option, Hull's example

Posted: May 25th, 2025, 12:51 am
by cdsharm75
Hi
For people familiar with Hull's Example 25.3 (8th edition, the Futures) - would appreciate some advice. I was wondering if there's some information missing in that problem/example....when he writes "when 12, 52, 250 observations are used for the average, the price is 6,...." - I'm not sure what F and sigma to use for these observations. Also, for people who have used his Derivagem software, I can't see where I would even enter that information. What am I missing......?

Re: Asian option, Hull's example

Posted: August 2nd, 2025, 7:46 pm
by katastrofa
Are you asking about formulas for discrete forward average price and variance? Here’s the first. The variance derivation takes longer and I just got a parcel from Temu… :-D (Apologies for the low quality presentation.)

Re: Asian option, Hull's example

Posted: August 17th, 2025, 1:17 pm
by cdsharm75
Hey @Katastrofa - thanks for the response! No, the derivation is fine...it feels like he left some information out of the question  (the example I posted above) so there was no way to complete the second part of the problem - i.e. when the option starts to fix. Appreciate your help with the derivation....must say...pretty neat handwriting!

Re: Asian option, Hull's example

Posted: August 23rd, 2025, 9:55 am
by katastrofa
OK, just in case, I got approximately the same results as Hull using the calculated first (and second) moment of the discrete average.

Re: Asian option, Hull's example

Posted: September 11th, 2025, 2:14 pm
by cdsharm75
Oh cool! What did you use for the "12, 52 and 250" observations? I'm referring to the very last line of the text; where are you getting those observations from? That's the piece that I don't get.....
Would really appreciate if you could share your spreadsheet (if feasible).