153 reputation
7
bio website john.bitsurge.net/blag
location Austin, TX
age 28
visits member for 2 years, 7 months
seen Mar 11 at 0:32

Just trying to learn something useful.


Mar
11
awarded  Supporter
Dec
10
awarded  Popular Question
Feb
14
awarded  Commentator
Feb
14
comment Why is C++ still a very popular language in quantitative finance?
You don't find C++ to be full of "needless complexities, obstructions, irregularities, dead ends, unexpected stupidities, counterintuitive rules, and lazy, dumbass assumptions." ? Maybe you're thinking of C and extrapolating.
Sep
28
comment Can the Heston model be shown to reduce to the original Black Scholes model if appropriate parameters are chosen?
@BrianB I think you are right. I have solved the issue of the models not giving consistent answers, which turned out to be due some inconsistencies in treatment of variance vs volatility in the inputs. I have not yet, however, shown analytically how Heston degenerates to BS. I'll look for that book. Thanks.
Sep
4
comment Can the Heston model be shown to reduce to the original Black Scholes model if appropriate parameters are chosen?
@vanguard2k, Any luck? I am going to try today to work it out as well.
Aug
30
revised Can the Heston model be shown to reduce to the original Black Scholes model if appropriate parameters are chosen?
Forgot square root of variance in the BS solution.
Aug
30
comment Can the Heston model be shown to reduce to the original Black Scholes model if appropriate parameters are chosen?
@vanguard2k No problem. Thanks for the effort to answer after a long day :) Am I to understand then, that your first response doesn't apply at all?
Aug
30
comment Can the Heston model be shown to reduce to the original Black Scholes model if appropriate parameters are chosen?
@vanguard2k, Am I missing something? How is $dv_t = 0$ maintained if $v_0$ is nonzero and $\sigma > 0$? Clearly if $v_0 = 0$ and $dv_t = 0$ we're just left with the forward price, but that violates the $>0$ restriction you mentioned, no?
Aug
30
revised Can the Heston model be shown to reduce to the original Black Scholes model if appropriate parameters are chosen?
Added conclusion blurb about P2. Fixed typo.
Aug
30
asked Can the Heston model be shown to reduce to the original Black Scholes model if appropriate parameters are chosen?
May
19
awarded  Scholar
May
19
accepted How does one go from measure P to Q(risk-neutral) when modeling an asset paying dividends?
May
19
comment How does one go from measure P to Q(risk-neutral) when modeling an asset paying dividends?
Ahhh of course. Ok I am pretty clear on it now. Thanks.
May
18
comment How does one go from measure P to Q(risk-neutral) when modeling an asset paying dividends?
I'm still not clear on why we consider the dividends to be reinvested in the asset under Q and also why reinvesting them results in (r-delta).
May
18
comment How does one go from measure P to Q(risk-neutral) when modeling an asset paying dividends?
Ok I think I understand now. The drift is not 0, but it will be incorporated into the process X under Q, such that the SDE will always take the form that you described with (r-delta).
May
18
comment How does one go from measure P to Q(risk-neutral) when modeling an asset paying dividends?
Also, when you say that "S follows a gBm if it satisfies the well-known dS/S SDE, drift non-zero...", I assume you are referring to dS/S = mu dt + sig dz, but why does this stop being gBm if mu = 0?
May
18
comment How does one go from measure P to Q(risk-neutral) when modeling an asset paying dividends?
So if I am understanding you correctly here, the dividend payments will result in the stock drifting higher under Q than it would without them: (r+delta) instead of (r-delta)? I don't see how that works. Taking the dividends out of the stock should lower the value of the stock right? If they are being reinvested into the stock, our portfolio will reflect that we own more shares, but I don't see why the value of the stock should also be going up.
May
18
awarded  Student
May
18
awarded  Editor