1
vote
1answer
31 views

Calculate control variate for monte carlo simulation

For an exercise I need to calculate $\mathbb{E}[X]$ with a Monte Carlo simulation. I need to use control variate $Y$ with $\text{Var}(Y)=2$ and $\text{Cov}(X,Y)=1$. I am asked to give the optimale ...
1
vote
1answer
154 views

Rblpapi / bdh - how to download prices for all weekdays - regardless if it is a bank holiday

Using bdh(), I am trying to download historic weekday prices regardless if the weekday is a holiday or not. The default does not return weekday bank holidays. The ...
2
votes
0answers
58 views

Dual discounted forward curve

I was wondering how to calculate the forward rates based on OIS discounting for the half year terms. I know how to do this for the full year terms -> just making sure that the two legs are equal to ...
0
votes
1answer
174 views

Augmented Dickey-Fuller Questions

I've been searching in bibliography about this test applied to an AR(p) model. $$Q(L)(Y_{t})=c+\epsilon_{t}$$ Where L represent the Lag Operator and $Q=1-\phi_{1}x-.....-\phi_{p}x^{p}$ is the ...
0
votes
3answers
68 views

Interpretation of portfolio standard deviation

I have computed an efficient frontier using quadratic optimization algorithm for some stock data and then plotted it. However, I have troubles understanding how to interpret standard deviation of ...
4
votes
1answer
194 views

VXV vs. VIX futures: arbitrage opportunities?

At a first glance, VXV and VIX futures should not be compared at all: VXV is an underlying index, whilst VIX futures are derivatives written on a different underlying index, that is, VIX. As instance,...
1
vote
1answer
55 views

Martingale correction for Andersen scheme with Interest Rate

I have implemented martingale correction to my Andersen scheme for Heston model, as it is in the paper (page 19-22): http://www.ressources-actuarielles.net/EXT/ISFA/1226.nsf/0/...
3
votes
1answer
86 views

How to get Correlation using Options data?

I can calculate the "Implied Beta" using implied volatility for the option stock, and implied volatility for the market (VIX). Is there any way to calculate also the correlation without performing a ...
0
votes
1answer
57 views

What are “risk” or “risk numbers?”

I work in finance but do not have any formal education in the subject (I do have a PhD, but not in finance). I've picked up a lot of the jargon but there's one thing that I haven't figured out, and it ...
1
vote
1answer
115 views

Is Value-at-Risk translation invariant?

Let: $X=V_1-V_0R_0$ where $R_0$ is the interest rate. Then, is it so that this risk measure is Translation Invariant as: $\textit{VaR}_{\alpha}(X)=\textit{VaR}_{\alpha}(V_1-V_0R_0)=V_0+\textit{VaR}_{\...
1
vote
2answers
62 views

How can I find stocks that have had a X% price swing within Y days, sorted by recency of said swing? [closed]

Let's say that I want to find stocks that have moved +-20% within a 10 day period. ABC would match if at t, ...
5
votes
4answers
239 views

Self study references for a Mathematician

I just finished my undergraduate (BSc) degree in Pure Mathematics & Applied Mathematics. I am starting my postgraduate degree in Pure Mathematics in a month's time. I am considering pursuing a ...
0
votes
0answers
29 views

Is NYSE Arca an exchange or an ECN?

the US Equities / stocks market seems to be the very complicated one. And I'm trying to understand what market participants it consists of, what their roles and functions are. Also, what I'm trying to ...
6
votes
1answer
175 views

High frequency trading and trading costs

What kind of deals do high frequency traders have with brokers or exchanges regarding commissions for stock trading? For an individual, it is nowadays possible to get to as low as 10 basis points per ...
1
vote
0answers
90 views

Generating financial data

I am trying to generate monthly stock data using a one-factor model: $$R_{a,t} = \alpha + BR_{b,t}+\epsilon_{t}$$ The description says: $R_{a,t}$ is the excess asset returns vector, $\alpha$ is the ...
0
votes
1answer
50 views

How to calculate Sharpe Ratio if there are gaps in returns?

I see a lot of examples, like "We hold long position during whole year, then we calculate daily sharpe ratio and multiply it by SQRT(252) to get the annual one". This example makes sense for me. ...
1
vote
0answers
31 views

HJM model, existence of arbitrage:

The Setup: Suppose I know the yield curve of a Bond satisfies: f (0, t) = 0.04 for t ≥ 0 and f (ω, 1, t) = 0.06, t ≥ 1, ω = ω 1 , 0.02, t ≥ 1, ω = ω 2 , where Ω = {ω 1 , ω 2 } with P[ω i ] > 0, i = ...
0
votes
0answers
76 views

Large deviations theory and extreme value theory

I'll enter into details of both, sooner or later, but for the moment I'm concerned about the differences (and relationships, if any) between these two theories. Can someone give me a brief, but still ...
1
vote
0answers
37 views

References about market neutral portfolios that isolate unsystematic risk

I am looking for references, information, backtests etc. about market neutral portfolios that go long the index and short stocks of that index with high unsystematic (idiosyncratic) risk. The idea is ...
1
vote
0answers
66 views

How to fit exogenous + GARCH Model In Python?

I am studying a textbook of statistics / econometrics, using Python for my computational needs. I have encountered GARCH models and my understanding is that this is a commonly used model. In an ...
0
votes
0answers
22 views

self financing property vs. unlimited borrowing

How the self financing property of a portfolio should be understood in the problems where the unlimited access to the borrowing is assumed?
0
votes
0answers
30 views

Listed Equity Options - Should the expected future payoff be discounted?

Just wondering, given daily margining of exchange traded futures/options (e.g. Eurostoxx 50), basically any difference in the risk neutral expected future payoff that is refelcted in the daily price ...
1
vote
0answers
96 views

Heston model - Andersen scheme implementation

I would like to implement Andersen scheme for Heston simulation. On the following snipped is my code for generating asset path: ...
0
votes
2answers
118 views

Estimation of annualized volatility depending on data frequency - exceptions to the general rule?

From my understanding, the annualized standard deviation of daily returns is generally higher than of annualized standard deviation of weekly returns is generally higher than.... monthly...quarterly......
2
votes
2answers
239 views

Ito calculus problem

given $S^1$ satifying the SDE $\quad dS_{t}^{1}=S_{t}^{1}((r+\mu)dt + \sigma dW_t), \quad S_{0}^{1}=1 $ and the safe asset $S_{t}^{0}$ $\quad S_{t}^{0}:=e^{rt} \quad for \quad r\geq 0$ Q1. how ...
0
votes
1answer
67 views

adding dummy variable to ts object in r for particular quarter

I've looked all over and can't seem to get a clear idea of how to do this; I have ts data with quarterly frequencies. I simply want to add a dummy variable only for the data corresponding to Q4 but I ...
0
votes
2answers
134 views

Stock Symbols: ETFs vs Real Companies

I built a trading strategy that is based on a pool of all the symbols available on NYSE, Nasdaq, and AMEX. I don't like the idea of trading symbols that are ETFs. For example, the symbol TVIX, which ...
-1
votes
1answer
22 views

Technical indicator MACD - Does the D stands for the Math divergence? [closed]

Does the divergence from MACD is the same well known from Math? What is the connection? Thanks,
2
votes
1answer
119 views

Simulating returns from ARMA(1,0)-GARCH(1,1) model

I want to obtain a simulation of one-step ahead forecasts of stock returns process governed by ARMA(1,0)-GARCH(1,1) process. The returns are of form: $x_t = \mu + \delta x_{t-1} + \sigma_t z_t$ From ...
0
votes
0answers
32 views

Could VVIX and HYspread combined make for a SPX trade signal?

assumption 1: if there is no excess liquidity, then prices of equities cannot rise assumption 2: if there is "sufficient" excess liquidity, then whether prices of equities rise, stay put, fall depends ...
0
votes
0answers
27 views

Silvio Gesell's theory of value of money can it work?

Silvio Gesell was an economist. The scope of science of economy is the value of money. His theory is basically there is one source of money and one sink, source and sink is the same. Thus the value of ...
0
votes
0answers
45 views

Macroeconomic forecasting

During the last year I was working on developing several forecasting models which I was checking mainly in energy markets. They are based on regression, autocorrelation and also machine learning ...
0
votes
0answers
17 views

Single better parameter to explain ETF's comparison graph: Sharpe or IR?

For single comparison graph depicting price over time: SPY VS US some Sector ETF VS Momentum ETF on that sector, What would be the best single param to put? Sharpe ratio of each Information ratio ...
3
votes
1answer
116 views

How to implement dummy variables into GARCH(1,1) model from structural breaks (ICSS)

Hello everybody, I was already searching a lot of forums and read a huge amount of different papers. But I guess I am to stupid or I am at a loss. Hopefully some of you are able to help me out. Here ...
1
vote
1answer
44 views

Bid and Ask Data for european stocks

I am working on something to analyze European stocks and I need some historical data on bid and ask prices. Ideally I would like something like CRSP database for US stocks. Is there some similar ...
1
vote
1answer
86 views

Fx Firm market making

I've been doing market making on forex using the last look feature so far. Now we are moving to do on firm making, but I'm kind of lost. To do firm making we need to post resting orders (currenex ...
1
vote
0answers
27 views

Change in portfolio when IPO announced

I'm wondering whether there would be a change to my answer of the change in portfolio when there is a new stock introduced. My investment strategy is to maximise expected return such that my standard ...
4
votes
1answer
99 views

Calculate mean variance portfolio

I am trying to calculate the mean variance portfolio using the plug-in approach. First I generate some artificial data: x <- replicate(10,rnorm(1000)) Then I ...
1
vote
0answers
42 views

How to form Decile Portfolios based on Liquidity measure with missing data in R

I have a dataframe with over 4000 companies data (as column) and have calculted their daily Quoted spread measure ( measures liquidity for each stock) for 15 years. And then from the daily have ...
0
votes
0answers
42 views

Observing bid-ask bounce in high frequency stock data

I have a series of 1-minute return data for an unnamed stock, a sample is provided below, in order: ...
0
votes
1answer
76 views

Why does the Sharpe ratio not change when the strategy is leveraged?

It has been correctly stated that the Sharpe ratio of a strategy does not change when it is leveraged. I understand Eric's point that leveraging by $n$ multiplies both the return $x$ and volatility $\...
2
votes
1answer
77 views

Option analysis

Assume zero dividend and that the strike price for a European call option on a stock at a fixed maturity T and strike price K is given by C(K).Suppose that $C(K)=e^{-k}$ for all $K\geq 0$ ,then, I ...
7
votes
7answers
776 views

Proof that no trading system always wins

I am pondering on the existence/impossibility of a trading system (or algorithm) that ALWAYS ends up winning money, no matter how the price of a futures moves. In a context where one can go long or ...
0
votes
2answers
92 views

Volatility of EUR/USD: is this correct?

Let x be the closeBid price of EUR/USD, sampled every 5 minutes during year 2015 (historical data). This is the variation (is it ...
3
votes
6answers
228 views

Intuitively speaking, why do at the money options have no volga/convexity?

I was wondering if someone could give me an intuitive explanation as to why the vega of at the money options doesn't increase with volatility. I've seen some mathematical explanations showing the ...
5
votes
2answers
102 views

Calculating probability of Yuan's slump from options market

http://www.bloomberg.com/news/articles/2016-01-06/if-options-traders-are-right-the-yuan-s-slump-is-far-from-over Contract prices indicate a 79 percent probability that the currency will weaken ...
1
vote
2answers
301 views

Barrier option : Monte carlo simulation

I am trying to price a Down-and-Out Call using Monte Carlo simulation. The problem is that I get the right price for the vanilla option (same price as the analytic formula of Black and Scholes) but I ...
1
vote
1answer
132 views

Calculate VaR for a liabilty taking a exponential distribution?

An insurance company faces the liability loss off $L = \begin{cases} 0, & \mbox{with probability } 0.75 \\ Z, & \mbox{with probability } 0.25\end{cases}$ where $Z\sim Exp(\mu)$. I want to ...
1
vote
0answers
42 views

Avellaneda/Cont model Order Book Model

The model given in the following paper by Avellaneda et al http://people.stern.nyu.edu/jreed/Papers/limitorder.pdf On page 7 he explains that the initial Bid and Ask size should be normalised by ...
9
votes
3answers
352 views

Why is there a stong intraday-correlation between spot and vol?

Fig.1 shows an intraday scatterplot of the DAX future against its volatility index VDAX on 6-Jan-2016. The data suggest a strong negative correlation between the two. There are various models ...

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