4
votes
3answers
257 views

Semi-strong efficiency and HFT

The semi-strong efficient market hypothesis states that In semi-strong-form efficiency, it is implied that share prices adjust to publicly available new information very rapidly and in an ...
4
votes
3answers
494 views

How do Order Management/Matching Systems match/allocate orders (and filled prices)?

I am working on an improvement of my company's order allocation system. We run a central Order Management System (OMS) but currently performance attribution from filled orders leaves room for ...
2
votes
1answer
488 views

IB API quotes and speed

The title says it all. I trade futures options exclusively and wanted to see if anyone had insight into the quote speedsrobustness coming into the API. I'm using the Excel DDE right now just building ...
8
votes
1answer
496 views

Fama-French 3-factor model: factors implying risk

The Fama-French three-factor risk model is given by $$ r=R_f+\beta_m(K_m-R_f) + \beta_s\cdot\mathit{SMB}+\beta_v\cdot\mathit{HML}+\alpha $$ where $r$ is the return, $R_f$ is the risk-free rate, $K_m$ ...
2
votes
2answers
599 views

Are two stocks with the same beta have a correlation of 1?

If two stocks have the same beta over same time period, does it mean they are 100% correlated over that time period? In a CAPM framework, a stock's beta is defined as $$\beta_1={\rm Cov} (R_1, M) / ...
1
vote
1answer
183 views

Why is the VIX computed that way?

The VIX as a clear definition as defined in this paper I am interested to know why they came up with this formula. I smell some reasonably complicated explanation here so any pointer to a paper ...
0
votes
1answer
93 views

VIX Calculations/Which product?

If the spot VIX is the implied vol off of the options on the SPX Index. But which tradable product would that be? Can’t you technically only buy ETF’s that track the SPX (SPY) or buy the ES futures. ...
5
votes
1answer
179 views

From $AR(p)$ to SDE

Let the Vasicek model to be $$\Delta r_{t}=k(\theta - r_{t-1})\Delta t+\sigma\Delta z_{t}$$ Due to the fact that $$\Delta r_{t}=r_{t}-r_{t-1}$$ if you let $\Delta t=1$, it is easy to see by ...
1
vote
2answers
2k views

How to normalize stock data

Please advise how can i normalize stock prices. Recently, I've been using such formulas: Log prices = Ln(Close(t)) Close(t)-Mean (Close(t)-Mean)/(StdDev) Ln(Close(t))-Mean Is there any other ...
2
votes
1answer
487 views

GARCH(1,1) prediction in R - Basic Questions

Background to question: Hi, I was trying to fit a GARCH(1,1) model to the variance of log returns of a series, and ARMA(0,0) for the mean. I was using the fGarch package to do this. The aim of the ...
2
votes
1answer
928 views

ADF test in R yielding perfect cointegration. How is this possible?

I am using the famous conintegrated pairs tutorial to just different stocks for cointegration. The adf.test yeilds perfect cointegration, which I feel must be incorrect. Here is why: When I run ...
3
votes
2answers
624 views

Is Vasicek risk neutral?

I am a bit new to this, and am trying to understand the concepts of the risk neutrality in interest-rate models. What I can't seem to understand is why the Vasicek model is risk-neutral? Following ...
1
vote
3answers
701 views

Is there a Bloomberg field for a bonds (upcoming) coupon dates?

For a specific bond I need to calculate the time until each of the upcoming cash flow payments (for obvious reasons). So I wondered if there is a field (bulk data) that gives me all the dates of the ...
2
votes
2answers
175 views

What is most reasonable approach to determine side of a multi-leg options order?

Say, 4-legged multi-leg options order with below leg ...
2
votes
1answer
149 views

SDE simulation: P or Q?

Let's take a GBM under $P$: $dS=\mu dt+\sigma dW_{t}^{P}$ and then under $Q$ $dS=r dt+\sigma dW_{t}^{Q}$, where $dW_{t}^{Q} = dW_{t}^{P} + (\mu - r)/\sigma dt $ Now, let's say that I have ...
2
votes
2answers
191 views

Correlated Wiener processes of different factors

I'm relatively new in this field, so I have a couple of points that I need to clarify. I would like to know how I can estimate the correlation matrix necessary to implement a Cholesky decomposition ...
7
votes
1answer
417 views

Price functions based on order book events

Assume some equity traded on a given exchange based on an electronic limit open-order book $B$ that makes sequential updates as a function of time $t$. What are "natural" or common price functions $P: ...
4
votes
1answer
219 views

When does the Epps effect start?

Wikipedia defines the Epps effect as follows: In econometrics and time series analysis, the Epps effect, named after T. W. Epps, is the phenomenon that the empirical correlation between the returns ...
1
vote
0answers
554 views

What is the best alternative of Quantlib library

We need to build a Fixed Income Portfolio Risk Analytics solution. Somehow due to administrative reason we can't use Quantlib which is written in C++, even call it through SWIG via JNI. We have tried ...
2
votes
1answer
192 views

Basis point implied volatility of TY notes

As I see people trading 10-year notes are often quoting implied volatilities in terms of daily (or yearly) basis points. While at first I thought it is simply a translation from % to the actual spot ...
0
votes
1answer
69 views

Bond duration as estimation to holding return

I am really struggling to prove to myself that when we can estimate the one-year holding period return for a three-year zero by using the following estimation: S3 - Duration2*(f1,3- S3) Where Sn is ...
5
votes
0answers
267 views

What good papers of short term (<30 seconds) volatility estimation

I am looking for good papers of short term (<30 sec) volatility estimation AND short term volatility forecasting. Do you have something in mind ?
2
votes
3answers
426 views

Time Series or Regression

I'd like to research the impact of certain events and characteristics on the liquidity of the stocks over time. I've got a sample of 200 stocks and I use several measures of liquidity (Amihud, Bid-Ask ...
0
votes
2answers
226 views

Volatility Scaling

Since the VIX is an annualized volatility, to convert it into other frequencies we must divide by the square root of time. So to convert a VIX of 15 into daily volatility, we would need to divide $$ ...
0
votes
1answer
80 views

Plain vanilla risk parity with trends forecasting power

I have built an asset allocation model (plain vanilla risk parity) but I would like to adapt the initial asset allocation with respect to potential futures changes in the trends of the assets under ...
1
vote
1answer
109 views

What's wrong with this asset growth simulation?

Sorry if this is too basic, but I have this spreadsheet that simulates asset growth of a portfolio under a given return and risk using MPT. Here is a plot of probability distribution of asset ...
1
vote
1answer
878 views

How to apply Ljung Box Test?

I am checking the closing prices(about 9000+ prices) of the stocks data to test for randomness. The test I am using is Ljung Box test, in MFE toolbox for MATLAB, I used 300 data of closing prices, ...
3
votes
2answers
255 views

Question on yield curve fitting from Wilmott on Quant Finance p.529

My last question is related. At the top of p. 529, it says, "From the Taylor series expansion for $Z$ we find that the yield to maturity is given by $$-\frac{log ...
0
votes
0answers
72 views

Problem with setting up an arbitrage

I have a problem setting up an arbitrage table. I have to prove this relation: $$C_0 + P_0 \geq (k_2 − k_1) e^{−rt}$$ where $C_0$ is the price of a call with strike $k_1$, $P_0$ is the price of a ...
1
vote
0answers
206 views

Quadratic utility function

May you can help me undertanding the following conclusion: Suppose we have an agent who has preferences over contingent claims, represented by a concave function $U$. This simply means that ...
1
vote
1answer
522 views

VaR for FX forwards

I am trying to figure out some of the commonly used approaches to deal with FX forwards (in a currency portfolio containing spots, forwards and swaps) that would allow me to calculate the one day VaR ...
0
votes
0answers
94 views

Modelling interest rate: AR(2) modelling

I have a time series of spread that follows an $AR(2)$ (Autoregressive model of Order 2). I need an interest rate model that represents that dynamics. What model should I use?
0
votes
0answers
1k views

Are DV01 (or PV01) and IR01 one and the same?

IR01 measures the sensitivity of a portfolio or derivative to a parallel shift in the yield curve. Sometimes this is DV01 Dollar value (or PV01 present value). Is it always?
4
votes
1answer
272 views

Yield curve fitting example in Wilmott on Quant Finance p.528

In Wilmott on Quantitative Finance Vol. 2, p. 528, Section 31.4.2, is given a power series expansion for a zero coupon bond $$Z(r,t;T)=1+a(r)(T-t)+b(r)(T-t)^2+c(r)(T-t)^3+\dots$$ then it says to ...
0
votes
1answer
115 views

Physical Option Implied Distribuition

So I got risk neutral probabilities from stock option prices. How can I then map them to a physical measure?
1
vote
1answer
462 views

Breakeven of a delta-hedged option

Basic question to which I surprisingly did not find an answer on here. What's the best approximation to the break-even (with respect to stock price) for an option that was hedged fully at point of ...
1
vote
2answers
70 views

Is “Issuer and Holder with same strike” meaningless?

I've seen a callable putable bond whose first exercise date is an exercise date both for the holder and the issuer. Moreover both strikes have the same value: 100. I wonder what does it mean. I ...
0
votes
0answers
123 views

Should the standard deviation points of CML x-axis be calculated with excess returns?

By excess returns, I'm referring to the current nominal treasury rate minus the log returns of the security. I'm working to construct a dynamic CML / CAPM application, but am uncertain how standard ...
0
votes
0answers
163 views

Easier references to understand “The Asset Pricing and Portfolio Choice Theory” of Back Kerry

I'm trying to read the excellent book "The Asset Pricing and Portfolio Choice Theory" of Back Kerry, but find it too much difficult. I really need to read it but before I assume that I may need to ...
2
votes
1answer
196 views

Effective anti-gaming controls in dark pools

What are some indicators that a dark pool operator has effective anti-gaming controls in place? There are some that prohibit IOCs (immediate or cancel) but is that necessary? It seems like that could ...
1
vote
0answers
213 views

Obtaining the default probability and recovery rate for each credit rating?

I have the following questions for obtaining the credit rating: Given that I have cumulative default probability of each credit rating from Global Corporate Average Cumulative Default Rates ...
0
votes
0answers
25 views

map company CIK numbers to symbols [duplicate]

I got a list of CIK numbers and company name from http://www.sec.gov/divisions/corpfin/organization/cfia.shtml. It has almost 11,500 company CIK's. I want to map CIK number to company symbols,I got ...
1
vote
0answers
457 views

Question about Merton model to estimate default probability and recovery rate of the company

I recently come across Merton's model to estimate the default probability and recovery rate of the company. Here is the inputs ...
1
vote
1answer
190 views

Why use leverage when it does not improve the risk/reward ratio? [closed]

Leverage will increase gains when things go right but will also increase losses when things go wrong. Mathematically speaking, it does not change the risk/reward ratio (or does it?). Since ...
1
vote
1answer
105 views

Is it better to hedge or reduce the position size? [closed]

Traders hedge to reduce their risk. However, wouldn't reducing the position achieve the same results while keeping the risk management process simpler? At least, one need not worry about making the ...
1
vote
1answer
73 views

Can you hedge a derivative with a CASH|spot product or does it have to be another derivative instrument

Consider you have a SWAP (any kind) to hedge this SWAP, you will most likely use another Derivative,but can you use a cash|spot product to hedge this. Like Cash Equity or FX Spot
4
votes
0answers
95 views

Applications of distance correlation

This question mentions distance correlation. Where has this concept been applied to financial data and provided new insight? Do you know any examples or references?
0
votes
1answer
63 views

how to extract moments of GB from moment generating function?

I'm searching for the moments of geometric brownian motion using the gmm optimization program. the aim is to make the process y(t) of returns follows a normal distribution Are there any packages in ...
3
votes
1answer
113 views

Integration of stochastic total derivative

Super basic question. I think I am doing this correctly, but just want a sanity check. Say I have a stochastic process $r(t)$. Say I have an equation $$d(e^{\beta (t-s)}r(s))=\dots$$ where the ...
1
vote
0answers
107 views

Does it make sense to apply complicated mathematics to calculate with precision when the margin of error is +/-10%? [closed]

This is more of a philosophical question than general question. Quantitative finance applies highly complicated mathematics and has attracted very smart people to this field lately given the high pay ...

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