# All Questions

2answers
719 views

### Is drift rate the same as interest rate in risk-neutral random walk when using Monte Carlo for option pricing?

When using following risk-neutral random walk $$\delta S = rS \delta t + \sigma S \sqrt{\delta t} \phi$$ where $\phi \sim N(0,1)$. Now when a text mentions drift = 5% does that mean that interest ...
2answers
2k views

### Theta's effect for OTM options

How does $\Theta$ change for deep out-of-the money options? Looking at the below graph, it seems the time decay is highest for ATM options and increases rapidly as we approach maturity of the option. ...
2answers
148 views

### Reasoning behind multiple names for the equivalent risk measures AVaR/ETL/ES/CVaR

Doe's any one know the history behind, or background of the multiple naming conventions for the equivalent risk functions. Different quant authors prefer using different names, does any one know why? ...
3answers
409 views

### Scanning a stock database for errors/flaws

I'm currently working on some matlab code that is supposed to check a stock database for any errors (missing values, wrong values, etc.). The reason for this is that after reading this post I came to ...
1answer
322 views

### Doesn't a perpetual option contradict the Black-Scholes framework?

A standard example when learning to price American options is the perpetual American put. This is a put that has no expiry (or you can consider T = infinity). The standard solution prices this using ...
3answers
3k views

### How to detect and adjust for stock splits? [duplicate]

I am using a large daily data panel for over 250 companies and over several years. I am concerned about adjusting for stock splits. Is there any program in SAS to detect stock splits? How do I adjust ...
2answers
414 views

### Correlation decay in lognormal distribution

I noticed that if you use two correlated geometric brownian motions, the correlation structure decays in time pretty fast even for really high correlation values. I think that is not replicating ...
1answer
210 views

### Is Optimization ignoring correlation valid?

I have a fairly pedestrian optimization problem: Max sharpe, subject to a x% vol target. I have a set of expected returns, asset vols and a correlation matrix. I am finding that when i set the ...
1answer
449 views

### main arbitrage & statistical arbitrage concepts

can we please summarise here some of the basic concepts, tools used in arbitrage and statistical arbitrage in real life? ARB: benefit from price difference on same asset ARB: difference between ...
1answer
448 views

### Yield on Fixed income futures

I am trying to get a simplified model of the DV01 for the US 10YR Note futures but I cant figure out what the current yield is. When I back out the implied interest rate on the current TYM3 futures ...
3answers
422 views

### Calculate the expectation of a shift CDF

Suppose $X$ is a normal random variable with mean 0, and variance $\sigma^2$. $F(x)$ is the CDF(cumulative distribution function) of a standard normal random variable(mean 0 and variable 1), how to ...
1answer
554 views

### Pairs trade CDS contracts using cointegration

Recently I have looked at some sovereign CDS spreads (of the Nordic countries to be precise) and have tested for cointegration in the levels (i.e. untransformed) and logs of the spreads. Tests ...
1answer
191 views

0answers
319 views

### compute time from FX forward, how use DEPO rates?

assume I have following delta-term vol data from broker: ...
2answers
425 views

### Predict Market Direction, What is forecastable/unforecastable?

Let's decompose the return process $R_t$ as follows : $$R_{t} = sign(R_{t}) * |R_{t}|$$ What's part of the equation is forecastable?
0answers
1k views

### VaR model Unconditional Coverage Tests: Is this extension of Kupiec POF test correct?

Background: Kupiec P. in 1995, published paper "Techniques for Verifying the Accuracy of Risk Management Models" on Journal of Derivatives, v3, P73-84, it's a Unconditional Coverage Tests designe for ...
2answers
585 views

### Calculating Momentum From Returns

I am doing some modelling and have some data: ...
3answers
1k views

### Pairs trading: Question on non-negative profits, size of the positions and trading signals

I'm trying to backtest Pairs Trading but have become a bit confused on the different methods of selecting pairs, how to look for trading signals and what size of the positions to take in the assets. ...
2answers
325 views

### Is there a comprehensive reference book on US fixed income conventions?

In Canadian fixed income markets there is a nice handbook called Canadian Conventions in Fixed Income Markets (PDF). It contains detailed market standard pricing formulas for calculating prices, ...
1answer
417 views

### Improving GARCH modeling approach

Modeling Exchange Rate Using GARCH Let's consider the following exchange rate : USD/JPY For each sequence, we consider changes in the daily difference between the highest price and the open price of ...
1answer
337 views

### How to calculate tracking error given mismatches in available data

Apologies if this is an overly simple question. I have a series of stock returns, and I would like to estimate my portfolio's ex-ante tracking error versus the benchmark (S&P 500) given the ...
2answers
197 views

### Comparing Cash Equivalent of risky portfolios

To compare two risky portfolios, Mean-Variance (M-V) portfolios for example, many compare their Cash Equivalent ($CE$). $CE$ is defined as the amount of cash that provides the same utility as the ...
1answer
513 views

### Stability of correlations and volatility

I had a discussion recently about the stability of volatilities and correlations. If we take for example stocks and bonds (think of DAX and Bund) then I have seen changing volatilities (something like ...
1answer
63 views

### How to model housing loan market?

Housing loan market vibrates according to the policies, such as LTV rate, for example, if must pay 20% downpayment, LTV rate would be 80% interest rate, for example, lifting the loan rate, the ...
3answers
2k views

### How to distinguish between different types of algorithmic trading

Algorithmic trading involves the use of algorithms to optimally execute trading instructions. Then there are algorithms which initiate trades, based on various quantitative strategies (e.g. pairs ...
0answers
186 views

### EUR/PLN and EUR/USD delta-term-vol surface quoting convension

does anyone know for sure what is the FX market convension to quote delta-term pairs for EUR/PLN, for EUR/USD. I know that for EUR/PLN it should be delta p.a forward, for EUR/USD it should be delta ...
1answer
243 views

### compute FX forward from broker's data

assume I have following delta-term vol data from broker: ...
0answers
189 views

### Regression in liquidity risk model of Jarrow/Protter

In the paper "Liquidity Risk and Risk Measure Computation" authors describe a linear supply curve model for liquidity risks in presence of market impact, i.e. impact-affected asset price $S(t,x)$ is ...
1answer
157 views

### How to perform Empirical Mode Decomposition?

I am trying to use the EMD applied to EURUSD open price to train a machine learning algo (RVM). I have run only once the EMD on my training set and once on the training+test set. The results on the ...
2answers
192 views

### Geometric Brownian Motion with non-negative random increments

I am attempting to model a cumulative time-series of a positive integer variable across independent entities. The cumulative series appears to follow a process of Geometric Brownian Motion (GBM) based ...
3answers
703 views

### How to implement a long-term trade on oil?

I believe that one of the most compelling case of long-term trade is the long position on oil. Fundamentally, it seems quite clear that demands is going to grow in the future as emerging markets start ...
1answer
400 views

### Does DOM trading using broker data make any sense?

Can I use DOM information from Interactive Brokers? Does it make sense? I assume that it makes sense to apply some volume based algorithms only then when you know this order book, that you can get ...
1answer
196 views

### volatility Table and BS formula

assume I have implied FX volatility Delta-Term table from broker. I have time noticed as 2M, 3M. what do I have to put into BS formula, is it 2/12 or "count the business days"/"daycount basis"? I am ...
1answer
269 views

### Good Model Calibration Books/Papers for Common Option Pricing Models

I am trying to find a good book which focuses on the model calibration. I just want to know generally, what are the most common methods of model calibration(such as Black-Scholes Model, Stochastic ...
3answers
309 views

### Is it worth preserving orderbook structure when building it from individual orders?

Say I'm building an order book and two bids come in at price $p$ and volumes $v_1$ and $v_2$. Which option is better To store the order as $\{p, v_1+v_2\}$ or To store the order as $\{p,v_1\}$ and ...
5answers
13k views

### how to derive yield curve from interest rate swap?

According to some textbooks, to derive the yield curve, quote overnight to 1 week: rates from interbank money market deposit, 1 month to 1 year: LIBOR; 1 year to 7 years: Interest Rate Swap; 7 ...
0answers
226 views

### Optimization procedure for entropy pooling

I was wondering if those who used the entropy pooling code provided by Attilio Meucci had issues with the optimization procedure (especially regarding the fminunc function in Matlab). When I stress ...
3answers
429 views

### Logarithmic returns for realized variance?

I am wondering which method makes more sense when computing log returns. I am trying to compute log returns for realized variance, and I have the opening and closing prices for every minute. Since ...
1answer
365 views

### Toy models of asset returns

When making simple agent-based models of banking systems to look at global properties (say systemic risk) one of the basic decisions you have to make is how to model returns on external (to the ...
3answers
502 views

### Why C is still in use especially in area of numerical optimization (instead of C++)? [closed]

Why C is still in use especially in area of numerical optimization (instead of C++) ? C and C++ aren't fully compatible so mayby you know some differances that make the difference ?
6answers
3k views

### Applications of Fourier theory in trading

What are fashionable applications of Fourier analysis in trading? I have heard vague ideas of applications in High Frequency Trading but can somebody provide an example, maybe a reference? Just for ...
2answers
1k views

### Fair swap rate of an amortizing swap

Recently I came across the problem of amortizing swaps. This is an agreement, where fixed payments and floating payments (e.g. 3-months LIBOR + spread) are exchanged based on a notional that is ...
3answers
473 views

### Market weights for Black-Litterman

I'm trying to implement Black-Litterman for an arbitrary selection of assets. One of the input for BL is the "Equilibrium market capitalization weights for each asset". In most examples I've seen, ...
1answer
503 views

### Looking for a recommendation for a Fund Transfer Pricing modelling book

Recently I started working in a bank as a modeler, one of the possible topic is FTP - Fund Transfer Pricing. After I studied that subject a little on wiki and read a website or two in that field I ...

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