1
vote
1answer
155 views

Executions deep in the Limit Order Book?

I have some Level III (message level) data for equities and I have found several cases in which I register the execution of a Limit Order at a price "worse" than the best bid or ask. For example, ...
0
votes
1answer
153 views

Girsanov theorem in CMS convexity derivation

I am going through the derivation of CMS convexity from the notes of Lesniewski There is a transformation from $T_p$ forward measure to annuity measure $Q$ as $$ ...
0
votes
2answers
110 views

How can I create a public viewable stock market index?

I have 3,000 tickers that I would like to turn into a weighted index, viewable by the general public by going to Yahoo and typing in ^PSNDX (for example) or go to E-Trade and enter something similar. ...
0
votes
1answer
127 views

Cointegration Test: Residual is stationary but not random?

I am testing cointegration relationship on various pairs of stocks by this following these steps. Test for I(1) on a pair of stocks, says X and Y, using dickey-fuller test. If both time series are ...
0
votes
1answer
113 views

Set up sharpe ratio with 2 risky portfolio

You are considering an investment in the stock. In the stock market, there are two risky stocks (A and B) and a risk free claim, C (you can think of it as the t-bill). The covariances and returns of ...
0
votes
0answers
42 views

building stocks screener using R and Quantmod

I am trying out R and Quantmod, my aim is to scan whatever stocks which match MACD crossover let's say 12 and 26 period, then print the stocks code on one Window. I have couple questions: How could ...
1
vote
1answer
41 views

Correlated Random Number Generation using Sobol?

There is a clear theory about generating correlated random numbers using Cholesky decomposition or PCA. I suppose if we apply above methods to random numbers generated using Uniform random numbers ...
1
vote
2answers
241 views

Is it statistically valid to ignore “irrelevant” stock prices during backtesting?

As an amateur trader, I have reasonable success with my current end-of-day trading systems. All my systems are based on at least ONE year of "in-sample" data for backtesting, followed by 6-months of ...
9
votes
2answers
236 views

Best written quantitative finance papers

I have some writing experience, but I want to take my writing skills to the next level. I am particularly interested in writing quantitative finance papers for journals like Journal of Portfolio ...
1
vote
1answer
21 views

How do I calculate the PPP adjusted exchange rate between two countries?

I have been trying to calculate the PPP-adjusted EURUSD exchange rate. I am not sure if it is the same as relative PPP, for which I have used this formula: Spot rate at time t = Current spot rate * ...
1
vote
2answers
63 views

Transformation into Martingale

If $f$ is some function of BV on $\mathbb{R}$ and $dZ_t = f(W_t)dW_t + \mu_t dt$ ($W_t$ is a $1$-dimensional standard Brownian Motion), then what choice of real valued function $F$ makes: ...
1
vote
1answer
38 views

Inferences with non-normal data

I have data of index closing values. I later will use to run some regressions on the percent changes. When examining the data, I find heteroscedastic residuals and that the distribution is non-normal. ...
0
votes
1answer
37 views

Limits on Short selling

When back testing an algorithm that relies upon short selling certain stocks, how to limit the short selling so that the back-test results still remain reliable? What kind of controls are generally ...
0
votes
0answers
19 views

How to compute short interest real-time?

Is there a way to compute real-time short interest (at least daily) using Bloomberg for a given stock?
2
votes
1answer
97 views

Volatility updating rule using r

I'm trying to program a volatility updating rule using iteration. I start with the well know Heston-Nandi model where the returns dynamics are : with is iid standard normal randome variable, where ...
2
votes
1answer
37 views

ETNs as bank funding

I've just read the article in the link below and would like to know if someone can elaborate on a statement. I have added the whole paragraph, but highlighted the part about the use of ETNs as cheap ...
3
votes
0answers
78 views

Ito, Stochastic Exponential and Girsanov

This is a two-part question relating to the change of measure density used in Girsanov and secondly to the Stochastic Exponential. Whilst reading notes relating to Girsanov it is stated that the ...
1
vote
1answer
59 views

Why is rate of return on the stock normally distributed under GBM?

Let us assume the geometric Brownian motion, and we have $$dS_t= uS_tdt+\sigma S_tdz,$$ and $S_t$ follows a log-normal distribution, but why is $r_t$, the continuously compounded rate of return, ...
0
votes
2answers
285 views

Are there providers of delayed market depth data (DOM, Level II, Order-by-Order, etc)?

I have market depth data visualization software, and I want to create a free version for introduction. As far as I know, exchanges allow to distribute their data for free for the end-users, but only ...
0
votes
1answer
20 views

convention in borrowing money in a multiperiod model

I have a question concerning the idea of consumption in multi period. The following is given $$C_1=W_0-xS_1+B$$ $$C_2=xS_2-BR$$ where $W_0$ is initial wealth $x$ is the weight on an asset with ...
2
votes
2answers
55 views

What is the legal difference between ETFs, ETNs and ETCs

I would like to understand how exchange traded funds (ETFs) can be classified in legal terms. According to Vanguard, there are five ETF structures Open-End Funds Unit Investments Trusts Grantor ...
2
votes
1answer
986 views

Historical volatility from close prices (Haug pg 166)

I have implemented a function for calculating historical volatility using close the close method as described by Haug on page 166. When I implemented the formula given by Haug, it resulted in some ...
4
votes
0answers
28 views

Transition densities in the Heson model

Knowing the Characteristic function $\Phi_{T,t} = \mathbb{E} [ e^{i u S_T} | S_t, V_t]$ (or equivalently, the Laplace transform) of an affine process, it's possible to know the distribution of the ...
7
votes
1answer
261 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 ...
0
votes
0answers
28 views

Source for Normalized File of ETF Holdings [duplicate]

Does anyone know of a source for a data feed containing ETF Holdings for most ETF firms such as Ishares, Proshares, State Street? I know Bloomberg has this info, but I'm looking for a vendor that can ...
0
votes
1answer
130 views

FX Delta Conventions

I'm currently reading Iain Clark's book Foreign Exchange Option Pricing and I got stuck at one sentence in the beginning of Section 3.3 that I feel is important to understand. He writes: FX ...
12
votes
3answers
360 views

Please give a step-by-step explanation on how to build a factor model

Factor models such as Fama-French or the other ones that are partially summarized here work on the cross-section of asset returns. How are the factors built, how are sensitivities/coefficients ...
1
vote
2answers
70 views

Works of Nassim Taleb

I am looking to find the list of math/statistics papers of Nassim Taleb. However the google scholar page only seems to show popular articles. I know that he's famous for his theory of randomness and ...
1
vote
1answer
62 views

Different ways to identify a co-integrated series?

I have been reading and trying out stuff until I am totally confused and back to square one. Could someone please explain the difference between the two methods suggested below? Suppose I have 10 ...
2
votes
1answer
119 views

On an application of Ito's lemma

Assume that instantaneous returns are generated by the continuous time martingale: $$dp_t = \sigma_t dW_t$$ where $W_t$ denotes a standard Weiner process and One day returns are denoted by $r_{t+1} ...
0
votes
1answer
153 views

How to projectP&L or drawdowns on pair trading , trading and portfolios?

This is for planning and risk management. I am stuck on the following thoughts - Back-test the trading strategy for a period similar to the one you expect and then project. Do the above using ...
0
votes
1answer
95 views

Pricing a call when minimum stock price above strike with certainty

I am editing this question because it was originally unclear, and I didn't get the answers I was hoping for. In my finance book I have the following question T-bills currently yield 5.5 percent. ...
1
vote
1answer
28 views

Time value of option not always leading to an increased option value

My understanding was that as you increase the time to expiry of an option, the value of the option increases. However, I have run a bunch of scenarios and have realized that if you assume a dividend ...
1
vote
1answer
18 views

Time 0 value of an American Put in Cox-Ross-Rubinstein model

This is a question from a problem sheet which I have handed in and have solutions for. The only examples of this in class I have seen are examples where the interest rate is 0. "Consider a ...
2
votes
1answer
110 views

Kolmogorov-Smirnov test for Generalized Pareto Distribution

I've fitted my data to a generalized pareto distribution as to model the returns in the tails more accurately. The interior is fitted with kernel distributions. I would like to now test whether the ...
2
votes
2answers
121 views

IR Yield Curve and Fixing Dates

Consider two FRAs. 3x6 , Effective 3 months from now, terminates in 6 months. The floating leg payer pays 3-month LIBOR. Fixing date for LIBOR 40 business days. To price this at par, the fixed leg ...
0
votes
0answers
6 views

Finding the price of an option that will be exercised [duplicate]

I am reposting this question because it was originally unclear, and I didn't get the answers I was hoping for. In my finance book I have the following question T-bills currently yield 5.5 percent. ...
0
votes
2answers
142 views

Put-Call relationship for Option on Forward

The forward price of a forward contract maturing at time T on an asset with price St at time t is, $$ F=S_te^{(r-q)(T-t)} $$ where $r$ is the risk free rate and $q$ is the continuous dividend rate ...
1
vote
4answers
68 views

Euler discretization of Heston SDE in Mathematica

Below is an implementation of the numerical solution of the Heston SDE using Euler discretization. It takes under a second to run on Mathematica. The calibration parameters give a good fit to the ...
4
votes
6answers
3k views

Call vs. Put Option

I have two interrelated questions that have been bothering me for some time. I have read all the stuff online and it still doesn't make sense to me: Let us assume: 0% interest rate (both hedge ...
1
vote
1answer
125 views

UST Yield Curve Forecasting - Bond Structure Testing

I have a project in mind that I am working on, but have little idea where to start. I am a relative newcomer to python (about 1 years exp.) and limited knowledge of quant finance. What I would like ...
0
votes
0answers
28 views

Risk Neutral Measure [duplicate]

I have been looking for a good intuitive reasoning for introduction of the risk neutral measure and its uses in quantitative finance, but I have yet to find one. I was wondering if any one could ...
0
votes
0answers
26 views

what data to use to compare the interest rate among different currencies?

Very new to fixed income signals. I am a little confused about which data to use to compare interest rate among different currencies. For example, I am interested in compare interest rate in the ...
0
votes
1answer
80 views

How to filter and normalize market data obtained from distinct sources (FIX 4.4, bloomberg, etc) in an algorithmic trading system?

I'm wondering if some of you known how to resolve this requirement: I have to define the architecture of an algorithmic trading system (but I'm not an architect, so I'm trying to do my best). I have ...
3
votes
1answer
65 views

Proof of Hamada's Formula (Relationship between levered and unlevered beta)

Hamada's formula is presented as follows: $$\beta_{U}=\left[\frac{1}{1+\frac{D}{E}(1-\tau)}\right]\beta_{L},$$ where $\beta_{U}$ and $\beta_{L}$ are the unlevered and levered beta's of a firm ...
0
votes
0answers
13 views

Interpreting Johansen co integration test

I am a little new to econometrics. Please pardon me for this silly question. I was running a Johansen cointegration test on two time series using the econometrics toolbox provided by James LeSage for ...
0
votes
1answer
35 views

Foreign exchange - Dealer spreads and order size

Is it true that in foreign exchange markets, dealer spreads are lower for smaller order and increases for larger orders? This seems counter-intuitive when compared to other markets where dealer ...
0
votes
0answers
13 views

Seeking Advice for Exam FM regarding Derivatives Markets

I am taking Exam FM in a week and I was wondering if I could get any advice from people who have recently passed this exam. How much of the derivatives markets question did show up? I am using the ...
3
votes
0answers
78 views

The danger of using Principal Component Analysis (PCA) in Robust Optimization problems

I have received a reviewer's comment on a paper which applies PCA to reduce the size of a problem and the application is in the robust optimization field. The reviewer implies that "In robust ...
3
votes
1answer
69 views

Covariance structure of call option surface

Assume the observed call option prices $C(K_i,T_i)$ for $i = 1,\dots,N$ are disturbed by some unknown measurement noise $\epsilon$. What would an appropriate covariance structure be for $\epsilon$? ...

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