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by HA
May 27th, 2003, 12:21 pm
Forum: Technical Forum
Topic: Computational complexity of Asian Options
Replies: 17
Views: 191509

Computational complexity of Asian Options

I'm sure you need FDAX, as you are following his foot steps.Good luck, and I hope it ends the draught.
by HA
May 27th, 2003, 10:56 am
Forum: Technical Forum
Topic: Computational complexity of Asian Options
Replies: 17
Views: 191509

Computational complexity of Asian Options

Sorry if I have intruded.But you'd better keep stalking Saunders. A source says she resembles Samantha Jones.
by HA
May 27th, 2003, 9:21 am
Forum: Technical Forum
Topic: Computational complexity of Asian Options
Replies: 17
Views: 191509

Computational complexity of Asian Options

If you use Hull-White (or Vasicek), you'll probably get an analytical solution.On your shoe, I'll probably first sort out the portion that can be locked by fwd LIBOR and cap, andthen try to analyse the unhedged porion.
by HA
May 26th, 2003, 9:31 pm
Forum: Off Topic
Topic: Schadenfreude
Replies: 20
Views: 191738

Schadenfreude

Managing Director, European Asset Securitization and Principal Finance Group Westdeutsche Landesbank.30 something.
by HA
May 26th, 2003, 2:08 pm
Forum: General Forum
Topic: Problem with Bjerksend & Stensland Model
Replies: 4
Views: 190286

Problem with Bjerksend & Stensland Model

<t>European / Discount Factor is the price of European option divided by the discount to expiration. In effect, it isEuropean option with null interest rate. Due to maximum principle, it never falls below the intrinsic, and hencegreater than American option. Sounds like a crude bound, nevertheless n...
by HA
May 26th, 2003, 1:58 pm
Forum: Numerical Methods Forum
Topic: Problems calculating Gamma
Replies: 18
Views: 204777

Problems calculating Gamma

That's true, mj.But my impression was that using likelihood can improve a lot in MC, but not necessarily in tree or FD.
by HA
May 26th, 2003, 1:42 pm
Forum: General Forum
Topic: Probability Problem
Replies: 7
Views: 190490

Probability Problem

Sam,I was trying to say E[ Y | X > x ] = E[ Y 1(X > x) ] / P(X > x) provided that P(X > x) is positive.(See my second posting. Sorry if I made you confused.)
by HA
May 26th, 2003, 12:54 am
Forum: General Forum
Topic: Problem with Bjerksend & Stensland Model
Replies: 4
Views: 190286

Problem with Bjerksend & Stensland Model

<t>In fact, not many routines survive a bound: European <= American <= European / Discount Factor,for every spot & strike combination, especially when the rates are as low as now. Unless the approx gives a uniform bound on the relative error less than 10E-04, it is not in the range forthe nearby...
by HA
May 25th, 2003, 7:58 pm
Forum: General Forum
Topic: Probability Problem
Replies: 7
Views: 190490

Probability Problem

I feel that I haven't quite finished answering the question, so I'm adding a line or two.E[ Y 1(X > a) | X > a ] P(X > a) + E[ Y 1(X > a) | X <= a ] P(X <= a) = E[ Y 1(X > a) ].The left is E[ Y | X > a ] P(X > a) and the right is as in my previous posting.
by HA
May 25th, 2003, 7:33 pm
Forum: The Quantitative Finance FAQs Project
Topic: What is a free boundary problem and what is the optimal stopping time for American option?
Replies: 38
Views: 217022

What is a free boundary problem and what is the optimal stopping time for American option?

<t>In fact, each participant in the market has different goal, and strategies vary.The optimal stopping problem for American option that people mention in literature is purely a mathematical constructionthat is exploited for obtaining the fair value under the risk-neutral measure. The calculated opt...
by HA
May 25th, 2003, 7:22 pm
Forum: The Quantitative Finance FAQs Project
Topic: What are the forward and backward equations?
Replies: 24
Views: 197329

What are the forward and backward equations?

Newton, How about fixing your blender first, so that I can switch on.
by HA
May 25th, 2003, 7:20 pm
Forum: Numerical Methods Forum
Topic: Problems calculating Gamma
Replies: 18
Views: 204777

Problems calculating Gamma

<t>Looks like LuisB is doing tree, though.The calculated value is only a numerical approximation in any case, and what you have is contaminated byerror that depends upon many. If your valuation method is a tree, the size of the error is of order dt, or O(dt), and the error as a function of spot is o...
by HA
May 25th, 2003, 7:01 pm
Forum: General Forum
Topic: Probability Problem
Replies: 7
Views: 190490

Probability Problem

<t>Assuming that X is a multivariate normal with mean vector m and covariance matrix C, I thinkE[ exp( q' X ) 1(X > x) ] = exp( q' C q / 2 + q' m ) P(X > x - C q)where "X > a" is a cone defined by entry-wise inequalities. In your case, q = (1,1)' and P(X > a)becomes a bivariate normal prob. </t>
by HA
May 23rd, 2003, 9:44 am
Forum: The Quantitative Finance FAQs Project
Topic: What are the forward and backward equations?
Replies: 24
Views: 197329

What are the forward and backward equations?

<t>newton, you are a master of disguise indeed.Elaborate your question on FP.The noise (returns) in plain BS is iid. The log-normal model in general isnot necessarily of iid returns. For example, you can model a spot as exponential ofa general Gaussian process rather than exponential of a standard B...
by HA
May 19th, 2003, 10:29 pm
Forum: The Quantitative Finance FAQs Project
Topic: What are the forward and backward equations?
Replies: 24
Views: 197329

What are the forward and backward equations?

<t>I guess I stepped in.A be a continuous semigroup: A(t+s) = < A(t), A(s) > for each non-negative s & t 1) A(t+s) - A(t) = < A(s) - I, A(t) > yields the forward equation (d/dt) A(t) = L * A(t), where L is the infinitesmal generator of A 2) 0 = (d/dt) < A(t), A(T-t) > : being (d/dt) A(T) = < (d/...
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