0
votes
1answer
612 views

How can I calculate the Cumulant-Generating Function in Matlab?

Let $M(h)$ be the moment-generating function, then the cumulant generating function is given by $$K(h)=\text{ln}M(h)=\\ =\kappa_1h+\frac{1}{2!}h^2\kappa_2+\frac{1}{3!}h^3\kappa_3+\ldots$$ where $\...
0
votes
0answers
51 views

VIX Future risk modeling [duplicate]

I am very new to VIX futures and need to validate the risk model for these instruments. Could someone help me with how i can calculate the volatility on these instruments. Thanks.
1
vote
1answer
130 views

Calculating deltas of call options?

From a continuous standpoint, I understand why an ATM call has delta = 0.5 and for ITM call, the delta approaches 1 since each move in the underlying corresponds to same unit of value change in call ...
0
votes
1answer
69 views

Under an EMM, does there necessarily exist a replicating portfolio?

In general, under an EMM, does there necessarily exist a replicating portfolio for every derivative? I believe the answer to this is false. A simple example is a discrete time, trinomial model. ...
0
votes
1answer
143 views

What is the realized volatility's estimation error?

Given an estimation procedure and real data, how would one compute the mean squared error? What value represents the "true" realized volatility in the case of calculating the Mean Squared Error in ...
2
votes
1answer
814 views

Do you know any data source for historical VWAP data?

I am looking for historical VWAP pricing data for north american equities. I haven't been able to find a free/cheap data source. Do you guys know of one ? Also, is there a way to proxy for an equities ...
4
votes
2answers
297 views

Multifractal Model, Generating Sample Paths with Correlations between Assets

I have studied option pricing using Geometric Brownian Motion to generate sample paths. Because of the normal distribution, it is easy to create a covariance matrix and get correlated asset returns. ...
1
vote
1answer
574 views

MonteCarlo simulation of stock prices using milstein scheme with dividend yield?

While performing a montecarlo simulation of stock prices using the milstein scheme is it possible to take into account the dividend yield into the simulation itself somehow, if we are given a ...
3
votes
0answers
148 views

A doubt about Evans and Jovanovic (1989) economic model for entrepreneurs with credit constraints

[I already posted this question on the math forum of stackexchange and I was advised that I should post this question here] In Evans and Jovanovic (1989) you will find a model for entrepreneurs with ...
1
vote
2answers
452 views

Optimizing Principal Component factor weightings over time

I was given the returns of a cross-asset class portfolio of ETFs and I conducted PCA to obtain factors on dates from T-n, T-3, T-2,..., T. What I would like to do is decompose the market moves from T+...
1
vote
1answer
831 views

Lagged dependent variable, yes or no?

I read conflicting opinions about the inclusion of lagged dependent variables in modeling, and I guess it is partly up to the researcher and depending on the scope and goal of the research. I'm ...
2
votes
0answers
143 views

How to reproject rates risk on a subset of tenors

Is there a standard method (statistical or model based) to reproject rates risk obtained on a full set of tenors onto a smaller subset of tenors ? Let's imagine that I got a delta in the following ...
5
votes
0answers
225 views

How to become a registered market maker on an exchange [closed]

We are thinking of applying to become a registered market-maker on different European exchanges. The name varies from exchange to exchange (Liquidity provider on Euronext for instance). Could anybody ...
3
votes
0answers
87 views

How is the redemption right on delisting of underlying shares held by holder in the convertible bond valued?

As title, If there is no delisting constraint, then I can treat the redemption right as the put right on the convertible bond. If there is redemption right on delisting, what is the conventional ...
-1
votes
1answer
435 views

Calculate the total returns from the total return index [closed]

I have the Total Return Index(RI) for several companies. I know that I can calculate the log retunrs with $ln(RI_t/RI_{t-1})$. Therefore my first guess would be to ...
6
votes
2answers
443 views

How to interpret beta meaningfully?

Although this is probably a basic question, this is probably also the right forum to post it in :) I thought I understood beta, but know I am really confused... The beta between my portfolio (weekly ...
5
votes
3answers
245 views

Stochastic volatility model with exponential OU volatility

I have a friend in the industry who said they are interested in the model I gave in the title. Whether they use it, idk. $dS_t= S_t(rdt+ \sigma_t dW_t)$ And $\sigma_t$ is the exponential of an OU ...
1
vote
4answers
411 views

Error message in calculation Implied Volatility

I am unsuccessfully trying to find the Implied Volatilities for the SPX on a given date using information of the CBOE, as well as Open Interest, but as I run the code I am getting and error message ...
1
vote
1answer
604 views

Arbirtage free price process question in Bjork's Arbitrage Theory in Continuous Time

I am currently working through questions in Bjork's Arbitrage Theory in Continuous Time. However, I am unable to solve the following question, 7.2 in the book. A solution would be greatly appreciated. ...
2
votes
0answers
118 views

Best method for determining the market value of a stock before it is issued

I am attempting to determine the hypothetical market value of a stock for a company emerging from bankruptcy as of a date prior to actual the issuance of the stock. For example, let's say the formerly ...
2
votes
1answer
457 views

Are my estimates of parameters of geometric brownian motion correct?

I wrote a simulation of a geometric Brownian motion which works like this: ${ t }_{ i }-{ t }_{ i-1 } \sim Exp(\lambda )$ ${ Z }_{ i }\sim N(0,1)$ ${ Y }_{ i }\sim { e }^{ \sigma \sqrt { { t }_{ i }-...
1
vote
0answers
45 views

Weak convergence of Lookback payoff with correction term

In this article on the Multilevel Monte Carlo method on page 8, http://people.maths.ox.ac.uk/gilesm/files/mcqmc06.pdf, Giles uses a correction term to improve the weak convergence rate of the lookback ...
1
vote
1answer
108 views

Compare fund managers with insignificant alphas?

For my thesis I am evaluating two mutual fund portfolios in order to check for differences in manager performance. My hypothesis is that there will be no differences in performance (in terms of alpha) ...
2
votes
2answers
551 views

Machine Learning on matlab 2010

I am trying to develop a trading model. It uses certain technical and fundamental features and the model learns from the past. I have a 3-class output - bullish, neutral and bearish. On trying neural ...
6
votes
2answers
6k views

Difference between S&P 500 index and S&P 500 Total Return index?

There's the standard S&P 500 index (SPX) and the rarer used S&P 500 Total Return index (SPTR). If you compare graphs, you'll find that the latter grows faster. Supposedly, SPTR assumes ...
1
vote
1answer
86 views

ISDA: Interpreting a date specified as x business days prior to another date with a business day convention of 'NONE'

I've got an interest rate swap, it has a right-to-break with a bermudan exercise schedule. For each exercise, the settlement date is specified as an already-adjusted business day. The "last ...
1
vote
0answers
34 views

Does the time between prices created from a GBM affect the estimation of parameters of the GBM?

Recently I created a simulation of a GBM. The time between the prices were sampled from an exponential distribution. The log rate of return was sampled from $\sigma \sqrt { { t }_{ i }-{ t }_{ i-1 } } ...
6
votes
2answers
512 views

how to choose top n assets?

I have m assets, and have estimated their future returns and covariance matrix. I would like to invest in an evenly weighted n product basket from this universe, where 0<n<m. How do i find the ...
2
votes
1answer
96 views

What are the general limitations of Gaussian copulas with regards to the range of joint pdf's it can approximate?

I'm working with the nataf transformation - AkA Gaussian copula - and trying to establish the range of joint bivariate pdf's it can approximate, and what limitations it puts on those joint pdf's. I've ...
1
vote
0answers
153 views

Calculate display and plot relative spread using Sierra Chart

I'm trying Sierra Chart for trading Bitcoin. I would like to display relative spread for a given volume. spread_rel = 200.0 * (ask - bid) / (bid + ask) where ...
1
vote
0answers
157 views

How To Regress Returns Vs Price as Pct of 52 week high?

I would like to do a linear regression of daily stock price returns, vs the price as a percentage of the 52 week high. i.e. [next week return] = A * [Price / 52 Week High ] + B where A and B are ...
2
votes
3answers
1k views

How to trade volatility?

I am analyzing the volatility of financial stock returns and let's say I have a pretty good model to forecast tomorrows volatility of the stock returns. So let's say for simplicity reasons I have a ...
2
votes
1answer
175 views

How did we get $W_g=W_b$ from $\dfrac{U'(W_g)}{U'(W_b)}=1$?

My question is from Nicholson-Snyder's text , E-book here. My question is here, from page 217 of the book. (I can't post image as my reputation is not enough.) How did we get $W_g=W_b$ from $\dfrac{...
1
vote
1answer
607 views

IB with R which package?

I want to implement my models in R and trade according to them with my IB account. Now I am wondering, how I should solve this problem? Do I need to program with C an access (https://www....
4
votes
3answers
870 views

Where to find historical stock news and other events?

So, I am working on a strategy that has pin-pointed some very interesting events in the form of extremely low volatility. The phenomena spans the past few years and a wide variety of symbols. Now, to ...
3
votes
2answers
104 views

What is the difference between these two equations for GBMs?

The two equations commonly found online for GBM are: $\begin{matrix} S_{ t }=S_{ 0 }\exp\left( \left( \mu -\frac { \sigma ^{ 2 } }{ 2 } \right) t+\sigma W_{ t } \right) \\ S_{ t }=S_{ 0 }\exp\left(\...
2
votes
1answer
1k views

How to estimate market integration parameter in Singer-Terhaar model for E(r)?

Singer-Terhaar is part of CFA II and III curriculum. It estimates risk premium for some asset, traded at some local market, as weighted average of expected premiums for the case of (1) local market, ...
2
votes
0answers
188 views

How to determine risk-free rate of Ecuador?

I have a question in determining the risk-free rate of Ecuador. For developed countries like United States and Great Britain, the risk-free rate can be obtained in financial database such as Reuter or ...
0
votes
2answers
302 views

How is holding an European call option equivalent to holding an asset-or-nothing call option and writing a cash-or-nothing call option?

The cash-or-nothing call option has a payoff that is equal to the strike price. All three options have the same expiry date.
0
votes
2answers
292 views

How to compute $\mathbb{E} \left[ (W_s + W_t - 2W_0)^2 \right]$?

The solution to the SDE $$dx_t= -kx_t dt + cx_t dW_t$$ is $$x_t = x_0 e^{\left(c - \frac{k^2}{2} \right)t}e^{-k W_t}$$ with mean $$\mathbb{E} \left[ x_t \right] = x_0 e^{\left(c - \frac{k^2}{2}...
1
vote
1answer
243 views

How can I calculate the margin requirements for a Bitcoin futures contract?

Suppose that I want to calculate what the margin requirements should be for a Bitcoin futures contract, where the contract is the USD/BTC exchange rate (settled in Bitcoins). I've looked at the SPAN ...
3
votes
2answers
728 views

Calculating and interpreting cumulative returns is R

I have buy and sell signals,and accordingly, I artificially generate a signal series,for which,I assign 1 to every buy and -1 to every sell: ...
3
votes
0answers
712 views

mean reversion with Kalman Filter - Spread calculation

Ernest Chan in its book "Algorithmic Trading" shows how to use the Kalman Filter for mean reversion pair trading. I have seen that he uses the measurement prediction error for calculating the spread ...
1
vote
0answers
133 views

BS Implied Volatility under Normal returns

If I use theoretical prices under a normal valuation model, and I estimate their implied volatility using BLACK SCHOLES implied volatility, do I'll get corresponding log normal volatility?
5
votes
3answers
1k views

Expected Shortfall (CVaR) Backtesting

I am writing my thesis on VaR and ES risk measurements and have encountered some issues with how to best test the accuracy of ES estimates. My understanding of the topic is that backtesting ES ...
4
votes
2answers
2k views

Drawbacks of Black-Scholes option pricing model

Will highly appreciate if anybody can provide logical financial proof why the Black-Scholes option pricing model overestimates the value for long-term options as described in this paper "Warren ...
1
vote
0answers
417 views

Fixed Income Var calculation

I'm trying to calculate var for a portfolio of fixed income securities. I initially want to just calculate undiversified VaR for each instrument. I'm doing the following for each instrument Take ...
1
vote
1answer
181 views

A Question from “Mathematical Methods for Financial Markets” Chapter 2

Exercise 2.3.1.5: The payoff of a power option is $h(S_T)$, where the function h is given by $h(x) = x^\beta(x-K)^+$. Prove that the payoff can be written as the difference of European payoffs on the ...
4
votes
2answers
202 views

Random Brownian Simulation Startling Results

I was playing around in Excel the other day, simulating possible equity curve/P&L paths for a simple game I designed. The game is really trying to find an optimal risk managment strategy. I start ...
4
votes
3answers
305 views

selecting test data for neural networks

I have been working on a neural network based on certain technical indicators. As people familiar with neural networks would know after developing a hypothesis, the developer is also supposed to ...

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