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by cmerrill
July 31st, 2003, 5:23 pm
Forum: Student Forum
Topic: Binomial Tree from Local Volatility
Replies: 4
Views: 189877

Binomial Tree from Local Volatility

<t>Hi KhairooRight, your problem has nothing to do with implied trees or implied vols at all, since you've specified your deterministic local vol function. I'm not sure I understand your local vol function, but the attached paper might help. You want to transform your log price process into another ...
by cmerrill
May 27th, 2003, 5:24 pm
Forum: Programming and Software Forum
Topic: non-constant array size (vba/c++)
Replies: 18
Views: 192560

non-constant array size (vba/c++)

There was an article in the C/C++ Users Journal on adapting SAFEARRAY to the STL vector interface. Unfortunately the article isn't available online but the code is attached. It's in the April 1999 issue.
by cmerrill
May 12th, 2003, 1:59 am
Forum: General Forum
Topic: Question about a random walk...
Replies: 26
Views: 196663

Question about a random walk...

<t>Thanks Alan -- and yes indeed, 2n (not n) should appear in all the powers of 1/2.As for the prob that the 3d symmetric random walk ever returns to the origin:Instead of giving a # I'll say that if I were running a casino that offered odds to gamblers who wanted to bet on the 'return to origin' ev...
by cmerrill
May 11th, 2003, 4:48 pm
Forum: General Forum
Topic: Question about a random walk...
Replies: 26
Views: 196663

Question about a random walk...

<t>> Anyone have an inuitive reason why a semetric random walk won't revist in 3 dimensions?The way I look at it intuitively is that the probability of revisiting the origin is 1 if and only if the particle returns an infinite number of times to the origin. (I suspect there's an elementary proof if ...
by cmerrill
May 7th, 2003, 4:59 pm
Forum: Student Forum
Topic: Search Technique.
Replies: 5
Views: 189940

Search Technique.

<t>You've already done all the hard work of O(n log n) to get the two arrays sorted -- you can do the whole search efficiently in linear time as Slevin suggests:int j = 0, k = 0;while (j < n-1 && k < m){___while (j < n-1 && XX[j] > YY[k]) ______j++;___if (XX[j] < YY[k] && XX[...
by cmerrill
March 27th, 2003, 2:32 am
Forum: Student Forum
Topic: Reflection principle in Shreve's notes
Replies: 11
Views: 190752

Reflection principle in Shreve's notes

<t>The killer app for the reflection principle is exotics and barrier option valuation. Martin Baxter's home page has a remarkable chapter (attached) on exotic options where the reflection principle comes naturally into play. It's a shame this chapter didn't make the cut in Financial Calculus -- it ...
by cmerrill
March 11th, 2003, 12:31 am
Forum: Off Topic
Topic: puzzle 4
Replies: 9
Views: 191239

puzzle 4

<t>The gambler's ruin problem -- here's one simple way to think of the expected time (1 tick of time = 1 coin flip):Let E(n) be the expected time to ruin when the poorer player has just n dollars left. E(0) = 0 of course, and intuitively this function is increasing in n, up to n = 10:E(0) = 0E(1) = ...
by cmerrill
March 10th, 2003, 11:40 pm
Forum: Programming and Software Forum
Topic: XLL Loop Question
Replies: 10
Views: 190570

XLL Loop Question

John, here is an MSDN article you might be interested in:Building a Real-Time Data Server in Excel 2002
by cmerrill
March 10th, 2003, 4:50 am
Forum: General Forum
Topic: Help wanted with Normal Inverse Gaussian Distn.
Replies: 1
Views: 189706

Help wanted with Normal Inverse Gaussian Distn.

Victor, this approximation might help you.
by cmerrill
February 19th, 2003, 10:47 pm
Forum: General Forum
Topic: Interpolation - linking theory to practice
Replies: 11
Views: 191731

Interpolation - linking theory to practice

Hi Hardy -- I found an updated version of this paper in my files (regrettably looks like it was edited with MS Word's Equation Editor). Also including a related paper on the subject which I haven't read.
by cmerrill
February 19th, 2003, 6:46 pm
Forum: General Forum
Topic: Interpolation - linking theory to practice
Replies: 11
Views: 191731

Interpolation - linking theory to practice

You might want to also check this out if you can find it:Adams, K. and D. van Deventer, 1994, “Fittingyield curves and forward rate curves withmaximum smoothness,” Journal of FixedIncome, June, 4(1):52–62.This paper is mentioned here
by cmerrill
January 29th, 2003, 4:59 am
Forum: Brainteaser Forum
Topic: The new, new little brainteaser
Replies: 5
Views: 191144

The new, new little brainteaser

A Feynman / Einstein thread -- very impressive
by cmerrill
January 29th, 2003, 4:47 am
Forum: Book And Research Paper Forum
Topic: Multivariant book "wanted"
Replies: 6
Views: 190062

Multivariant book "wanted"

Cheater, I strongly recommend Carol Alexander's: Market Models: A Guide to Financial Data Analysis if it's a financial application.For a more general text try: Applied Multivariate Statistical Analysis
by cmerrill
October 22nd, 2002, 4:05 pm
Forum: Book And Research Paper Forum
Topic: Stochastic Differential Equation: numerical procedures using Mathematica..
Replies: 4
Views: 190371

Stochastic Differential Equation: numerical procedures using Mathematica..

<r>J, here are a couple of references you might be interested in (2nd one is a Kloeden paper):<URL url="http://www.math.uni-frankfurt.de/~numerik/maplestoch/cyganowski.mar.pdfhttp://www.maths.uq.edu.au/~pmd/milano.ps"><LINK_TEXT text="http://www.math.uni-frankfurt.de/~numer ... /milano.ps">http://ww...
by cmerrill
October 7th, 2002, 10:20 pm
Forum: Book And Research Paper Forum
Topic: Numerical Methods in Finance
Replies: 19
Views: 192518

Numerical Methods in Finance

<t>a few more potential candidates for inclusion:Bakshi, et al, "Empirical Performance of Alternative Option Pricing Models", Journal of Finance, Volume 52, Issue 5, 2003-2049 (Dec 1997).Longstaff, F.A. and E.S. Schwartz, "Valuing American Options by Simulation: A Simple Least-Square Approach", Revi...