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by emac
August 9th, 2012, 9:22 pm
Forum: Student Forum
Topic: basic stopping time question
Replies: 13
Views: 11655

basic stopping time question

<t>QuoteOriginally posted by: edouardQuoteOriginally posted by: sdlifeI agree with emac that it is standard notation, if I had written in my original question the real notation, i.eI would probably have gotten better answers in the first place, so its my fault because of my poor notation. So thank y...
by emac
August 9th, 2012, 2:48 pm
Forum: Student Forum
Topic: basic stopping time question
Replies: 13
Views: 11655

basic stopping time question

<t>QuoteOriginally posted by: AlanQuoteOriginally posted by: emacWoah. Some bad answers here.If \Omega is the sample space then\{T \leq t \} = {\omega \in \Omega : T(\omega) \leq t}i.e. it is the set of all possible scenarios under which T(\omega) \leq t. Note that S \leq T means "S(\omega) \leq T(\...
by emac
August 7th, 2012, 1:29 pm
Forum: Student Forum
Topic: basic stopping time question
Replies: 13
Views: 11655

basic stopping time question

<t>Woah. Some bad answers here.If \Omega is the sample space then\{T \leq t \} = {\omega \in \Omega : T(\omega) \leq t}i.e. it is the set of all possible scenarios under which T(\omega) \leq t. Note that S \leq T means "S(\omega) \leq T(\omega) for all \omega \in \Omega".Therefore, if \omega \in \{T...
by emac
May 30th, 2012, 4:26 pm
Forum: Student Forum
Topic: PhD choice
Replies: 10
Views: 13099

PhD choice

Can I ask why you didn't apply to work in the Math Finance group at Imperial? I'm struggling to think of who your supervisor might be from your description.
by emac
April 24th, 2012, 10:31 am
Forum: Student Forum
Topic: stochastic calculus question
Replies: 10
Views: 13660

stochastic calculus question

No formula is quoted. The OP want to know the joint law of a pair of random variables. They have just written this pair (X,Y) in brackets.Also, list, there is no need to take discrete time approximations. The ito isometry gives you the expectation of the product of two stochastic integrals.
by emac
April 24th, 2012, 8:12 am
Forum: Student Forum
Topic: stochastic calculus question
Replies: 10
Views: 13660

stochastic calculus question

<t>BrightDay has no idea what (s)he is talking about.Okay, you shoudl be able to use Ito's formula to show that the integral term has a Normal distribution with mean zero and variance (t^3)/3. W^2_t obviously has a normal distribution with mean zero, variance t. You can then use Ito's isometry to ca...
by emac
April 7th, 2011, 8:54 am
Forum: Student Forum
Topic: Basic Probability
Replies: 15
Views: 21144

Basic Probability

What is the joint density
by emac
February 2nd, 2011, 5:45 pm
Forum: Brainteaser Forum
Topic: Average Number of Peaks
Replies: 5
Views: 27415

Average Number of Peaks

<t>QuoteOriginally posted by: LandscapeNot sure but seems reasonable (not treating Q-part):Ok, so prob of X(k) being a maxima is 1/3 (prob that it is the largest out of three iids), for the endpoints we instead have 1/2 which gives us:e1 = (N-2)/3 + 2*1/2 = (N+1)/3e2 = (N-2)/3 + 1*1/2 = N/3 - 1/6 ed...
by emac
January 27th, 2011, 4:37 pm
Forum: Careers Forum
Topic: Cambridge MASt/CASM/Part III
Replies: 12
Views: 25341

Cambridge MASt/CASM/Part III

<t>In my case at least, there was no interview process. With your background (1st class MMath + PhD + presumably good references) you should get in no problem. The question is: why? Are you planning to do another PhD after this, or straight into Post-Doc in your new field? Can you not just pick up w...
by emac
September 18th, 2010, 11:50 am
Forum: Careers Forum
Topic: Part III and Jobs/Internships in the UK
Replies: 1
Views: 24179

Part III and Jobs/Internships in the UK

<t>Hi,I have just graduated with a First in Maths from, let's say, one of COWI. I applied for PhDs last year but couldn't get funding, so I am now going to do Part III at Cambridge this year. I intend to do a PhD starting next year but given that the funding situation in the UK is only going to get ...
by emac
July 28th, 2009, 12:56 pm
Forum: Student Forum
Topic: CEV Implied Volatility
Replies: 2
Views: 37185

CEV Implied Volatility

Strictly implied vol.
by emac
July 28th, 2009, 12:37 pm
Forum: Student Forum
Topic: CEV Implied Volatility
Replies: 2
Views: 37185

CEV Implied Volatility

<t>I have been looking at methods of calculating the implied volatility of an option on an asset whose price follows the CEV process. By "implied volatility", I mean that given the price of a call =C say, and given all other parameters (the strike, time to expiry, interset rate etc.) the volatility ...
by emac
July 21st, 2009, 6:21 pm
Forum: Numerical Methods Forum
Topic: Starting point for uing secant method to find imp vol of option on asset under CEV
Replies: 1
Views: 37244

Starting point for uing secant method to find imp vol of option on asset under CEV

<t>I have the pricing formula for a call on an asset under CEV as given by Schroder in 1989 in terms of the cdf of a non-central chi-square random variable. I'm using MatLab to work out the implied volatility, given the price of the call (and all other model parameters) using the secant method or th...
by emac
July 7th, 2009, 7:23 pm
Forum: Book And Research Paper Forum
Topic: Cox 1975/1996 Option pricing under CEV
Replies: 1
Views: 41475

Cox 1975/1996 Option pricing under CEV

<t>I'm looking for the paper by Cox which was an unpublished draft in 1979 ("Notes on option pricing I: Constant elasticity of diffusions)" and published in the Journal of Portfolio Management in 1996 as "The constant elasticity of variance option pricing model".I'm a summer student at a university ...
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