7
votes
0answers
170 views

Portfolios from Sorts

Some time ago Almgren and Chriss proposed a method for portfolio optimization based on sorting criteria such as $r_1 > r_2 >... > r_N$ instead of explicit expected returns: see portfolios ...
2
votes
0answers
103 views

default probability

Suppose the hazard rate is $\lambda$ the default probability density function follow exponential $f(t) = \lambda e^{-\lambda t}$ and cumulative probability function is $F(t) = 1 - e^{-\lambda t}$ ...
1
vote
1answer
178 views

Examples of non-increasing variance of a time homogeneous Markovian process

This is an edit to the previous question, on stationary process, which was answered by Richard below. Let $x_t$ be a zero mean, time homogeneous Markovian process over time $t$ starting from ...
0
votes
2answers
74 views

Calculate price of index from underlyings (weightings included)?

I have a day's worth of LSE data (FTSE100 companies) and I also have their weightings for the FTSE100. Ignoring the net present value of money, how do I calculate the current value of the FTSE? I ...
2
votes
1answer
337 views

How to simulate stock prices with stochastic time change subordinated arithmetic Brownian Motion?

the idea is to simulate price returns thus to be normally distributed i 'am trying to use subordinated arithmetic brownian motion subordinated to time activity (volume) stock prices are following GBM ...
13
votes
4answers
4k views

Implementing data-structures in a Limit order book

I'm working on implementing a 'LOB' and I'm being very careful about choosing my data-structures so as to maximize performance. Using F# as an example, I need to consider a List versus Array for ...
1
vote
1answer
234 views

What are the math topics involved in FRM 1

Is there a way to get the math curriculum for FRM level 1 without purchasing the Exam? I wish to take a look at the math topics and see if I have any chance of cracking it. But I could not find an ...
2
votes
0answers
189 views

How to properly take averages to reduce data in regression/panel data analysis

I'm trying to do a regression on my panel data. Say I have T=3500 days of data and N=125 firms. Since Matlab get's major memory issues (which I try to prevent by the usual solutions as seen on the ...
5
votes
3answers
8k views

Calculating log returns using R

I am trying to calculate the log returns of a dataset in R using the usual log differencing method. However, the calculated data is simply a vector of zeroes. I can't see what I'm doing wrong. Here ...
5
votes
1answer
286 views

Min VaR and Min TE as second order cone program

The quadratic optimization (min variance) $$ w^{T} \Sigma w \rightarrow \text{min}, $$ where $w$ is the vector of portfolio weights and $\Sigma$ is the covariance matrix of asset returns, is a well ...
1
vote
1answer
136 views

Securitization of a loan portfolio

I am interested in the securitazion process and am looking for useful examples to help me understand how it can be applied in practice. Assuming I have a loan portfolio consisting of secured* and ...
0
votes
1answer
111 views

Choosing a weak learner

I want to compare different error rates of different classifiers with the error rate from a weak learner (better than random guessing). So, my question is, what are a few choices for a simple, easy to ...
0
votes
0answers
44 views

Java limitbook implementation? [duplicate]

I am looking to create my own front-end. What is the best data structure/java swing object to represent a limit order book? currently I am using two JTables and loading best bid and qty data from a ...
3
votes
0answers
155 views

Fitting Student t-distributions to log-returns

It seems that some tail-risk centric groups are bent on using Paretian and t-distributions to account for tail risk when fitting log-returns. It has been observed, however, that with and without ...
7
votes
3answers
1k views

Optimality of Kelly criterion in non-normal environment

It is a not so well known fact that the Kelly criterion is only optimal in a nice and well-behaved Merton-world. It is far from optimal when things are getting non-(log)normal (i.e. more realistic!). ...
7
votes
4answers
2k views

How to obtain true probabilities from Black-Scholes?

How to obtain true probabilities from Black-Scholes option pricing equation? Suppose, that we know risk adjusted discount rate for the underlying asset (the drift term in the physical measure) and ...
4
votes
1answer
179 views

Growth of Order Book size during day

I am trying to find market-structure research on how the size / depth of the order book changes during the day for equities. I would expect it to get deeper and deeper and bigger and bigger ...
-1
votes
1answer
64 views

Market Discrepancy in ETFs [closed]

Today Yahoo, Google, CNBC, etc. are all reporting an open for DDM of \$106.95, a close of \$107.69 and a delta on the day of \$2.69. But the arithmetic difference between the open and the close is ...
6
votes
1answer
149 views

When did volatilities start to smile in capital markets?

Glimpsing through literature, I read that volatilities in the equity market started to display a smile after the crash in 1987. But when did volatilities start to smile in capital markets?
1
vote
0answers
118 views

What is the right group of durations?

It seems that the group of durations commonly used in quantitative analyse is $\mathbf{R}$ but it seems to me that $\mathbf{R_+^*}$ could also be an interesting choice. While I am not aware of ...
2
votes
1answer
150 views

Single Most Important Fact about a Fund - Interview Question [closed]

I recently attended an interview to work as a software developer in an Asset Management company. I was asked by the interviewer: What is the most important piece of information that should be ...
2
votes
2answers
2k views

Garch modelling on Stata

I would like to ask "how to do GARCH modelling on stata". Basically I want to estimate stock market volatility using daily data. I have one variable as return series, $r_t=\ln(\frac{P_t}{P_{t-1}})$. ...
1
vote
1answer
277 views

Help with understanding a normal distribution/probability question

Could someone please help me translate what this is saying on page P15, section 4.2: http://www.ntuzov.com/Nik_Site/Niks_files/Research/papers/stat_arb/Ahmed_2009.pdf Specifically: When the ...
1
vote
0answers
241 views

Solvency II Assets-D1 - aggregation of line items by CIC code

The revised version of Assets D1 (now S.06.02 – List of assets under CP13) requires the following aggregations (page 24): CIC 71 (Cash), only one line per currency is to be reported; CIC 72 ...
0
votes
0answers
115 views

How does Interactive Broker's historical data compare to other alternatives?

Has any of you stumbled with shows stopper problems like it having survivorship bias?
3
votes
1answer
79 views

How accurately can the LIBOR market model price a floating note

I am considering some hedging strategy where portfolios of derivatives are built so that each portfolio is equivalent to a floating note, even if the instruments in the portfolio might be quite ...
3
votes
2answers
271 views

Forcing price to rise or fall by high volume buying and shorting

Is there an a name for the approach / strategy to artificially move a price either up or down by high volume buying or shorting. ie. Buying a large (say 5%) of a stock very quickly, thus ...
4
votes
2answers
182 views

Itô diffusion processes in finance with unknown distribution at a terminal value

In several papers it is argued that for many Itô diffusion processes, $$dX_t = a(t,X_t)dt+b(t,X_t)dB_t,$$ in mathematical finance the distribution of $X_T$ for fixed $T>0$ is unknown, which makes ...
2
votes
1answer
169 views

Risk-neutral models for rights issues

A rights issue is the granting by a corporation to its shareholders of a right to purchase $N$ new shares for each $M$ shares they already hold at a (often discounted) price $K$. Thus, it ...
2
votes
1answer
228 views

Which measure to determine Risk?

Say I hold an equity and I want to calculate the Value-at-Risk over some period. Would one calculate the Value-at-Risk of the equity under a risk-neutral (as in martingale) measure or under the ...
1
vote
1answer
103 views

What does it mean by “labor taxes cut is self-financed”?

I'm reading "Principle of Economics" by Mankiw. In Part III Market and Welfare, Ch 8 "Application: the costs of taxation", it says: Only 32% of a cut in U.S. labor taxes would be self-financed, the ...
-1
votes
1answer
1k views

Can someone explain what “Exotics Trade Capture” capture means in layman's terms?

I am trying to find out what Exotics Trade Capture entails. I can't find anything on Google that isn't a job posting, which is where I saw this term. Say you did this for a living, how would you ...
1
vote
1answer
63 views

Problems to understand a stochastic DGL equality

currently I am reading a paper called "Portfolio optimisation under non-linear drawdown constraints in a semimartingale financial model" for self-study reasons. The paper can be found here: ...
3
votes
1answer
254 views

How to manage evaluation date changes in QuantLib while using ImpliedTermStructure Class

I will not attach the whole code 'cause it would be just a huge waste of space and it would be not useful for this question's purpose. What I am going to attach here is a snippet code and its output, ...
1
vote
2answers
144 views

Quotes and Transactions Streams from Exchange

I have possibility of taking 2 types of real time streams from some exchange: bid-ask quotes (fresh quotes from order book) transaction log (transactions matched by exchange) I'm curious what ...
0
votes
0answers
51 views

OF-B1 report - cell A1

Pretty basic question - what is the SIGN that should be used in cell A1 of the EIOPA Solvency II OF-B1 report? So should share capital be displayed with a positive or negative value? CP-13 extract: ...
3
votes
0answers
151 views

How can I introduce exogenous variables in the equation of the conditional variance?

Is it possible to introduce dummy variables or explanatory variables in the GARCH variance equation (garchset and garchfit).This is done in the mean (ARMAX) equation through the input 'Regress' in ...
3
votes
1answer
850 views

open-source implementation of orderbook from FAST?

I'm looking for c/c++ implementation of OrderBook. I need implementation to reconstruct market data from FAST. I don't need to do "matching" because it already did by exchange, I only need to ...
0
votes
1answer
185 views

Distinguish between market makers and other participants?

Are there any known quantitative techniques to distinguish between market makers and other participants? I manually MFT, have no knowledge of these specialties, and may be observing phenomena that ...
2
votes
1answer
339 views

Maximum Likelihood using a Kalman filter for two factor model

I'm trying to implement a Kalman Filter for the parameter estimation of a linear gaussian two factor model in Matlab. (Schwartz Smith model for commodity prices) In other words: I try to compute the ...
1
vote
2answers
180 views

constructing best bid/ask from NASDAQ TotalView-ITCH data

anybody know how to construct a intraday stock price from NASDAQ TotalView-ITCH data? I would need to know the price in millisecond, so I would need two rows: timestamp (for every millisecond) and ...
4
votes
0answers
340 views

Formula for the efficient portfolios (mean-variance optimisation)?

Consider the setting of mean-variance portfolio optimisation: $n$ assets with expected returns $\overline{r}_1,...,\overline{r}_n$ and standard deviations $\sigma_1,...\sigma_n$. For a certain fixed ...
1
vote
1answer
149 views

Basics about the scaling property of volatility

It is a usual practice to calculate realized volatility $\sigma$ using the square root of the usual variance estimator $\hat{{\sigma}²}$. This is done using the stock log returns (practitioners ...
1
vote
1answer
163 views

“Friendly” papers about maximum smoothness yield curve modelling

I'm currently looking to implement some version of the yield curve modeling techniques in the maximum smoothness framework. The papers I have found so far explains the theory pretty well, but I find ...
1
vote
2answers
836 views

Calculating true value of a stock given the order-book and recent trades

I'm trying to calculate the 'true value' of a stock listed on an exchange. I have access to the limit order-book (containing all bid/ask quotes) and also all trades which have taken place (which ...
7
votes
9answers
11k views

Strategy of Renaissance Technologies Medallion fund: Holy Grail or next Madoff?

Renaissance Technologies Medallion fund is one of the most successful hedge funds - ever! Yet it is very secretive. Do you have information on the strategy used that is not yet mentioned in the ...
1
vote
2answers
106 views

moody's credit ratings for senior unsecured bonds

Can 2 senior unsecured bonds from the same obligor have different moody's credit ratings? Or do they both have to have the same rating because they are in the same capital structure? Thanks
2
votes
1answer
197 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 ...
3
votes
0answers
97 views

Estimating risk aversion (power or exponential utility) from options prices

I came across this literature and it seems like there are a number of ways people do this. You can do it for an option on any underlying as long as you can create the risk-neutral p.d.f. If you agree ...
1
vote
3answers
222 views

Risk Neutral Evaluation - Exchange/Spread Options

I have two assets, $S_1$ and $S_2$, which follow geometric Brownian motion processes. This implies that both $S_1$ and $S_2$ have a lognormal distribution. I'm trying to get the exchange option price ...

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