2
votes
1answer
158 views

How to group mutual funds by volatility?

I want to group Mutual Funds by their volatility. Ideally, I would like to end up with the mutual funds beings attached to different groups: High volatility Medium volatility Low Volatility My ...
1
vote
1answer
115 views

Exposition of Growth in a Perpetuity

Something that's bugged me since I've ever learned anything about finance: Philosophically(?) speaking, why does growth subtract from a perpetuity's return? I know the mathematical explanation, but ...
11
votes
5answers
4k views

How do you explain the volatility smile in the Black-Scholes framework?

Does anyone have an explanation for the currently naturally forming volatility smile (and the variations) in the market?
5
votes
2answers
699 views

Version of Girsanov theorem with changing volatility

Is there a version of Girsanov theorem when the volatility is changing? For example Girsanov theorem states that Radon Nikodym (RN) derivative for a stochastic equation is used to transform the ...
2
votes
1answer
2k views

Hurst Exponent Calculation

I am trying to calculate the Hurst Exponent using Excel. I am facing a problem where the exponent value sometime goes beyond 1. Can someone share a link / material so that it will help me to calculate ...
3
votes
1answer
277 views

Rank Correlation Based Prediction

Are there any methods of prediction (machine learning, regression, etc.) which are designed to maximize the rank correlation (spearman correlation, kendall's tau, etc.) of your prediction with your ...
0
votes
1answer
341 views

Why is delta-hedging of ATM options near expiry difficult to do? [closed]

Can someone explain to me why the delta-hedging of ATM options near expiry is difficult?
1
vote
1answer
275 views

Why does $\hat{\epsilon}'\hat{\epsilon}$ of a factor model measure risk?

$\hat{\epsilon}'\hat{\epsilon}$ from the market model: $R_{it} - \hat{\alpha} - \hat{\beta}R_{mt} = \hat{\epsilon}$, or from a factor model such as the Fama-French 3 factor model, is often used in the ...
1
vote
1answer
95 views

Do taking in account the CSA create convexity effects in your stripping?

When you strip your rate curves using CSA, what kind of convexity effects might appear as a result when computing the CSAed curve from one fixing to another ? For example if you are valuing an USD ...
-4
votes
1answer
471 views

Show that convexity of call price as a function of the strike is violated [closed]

European call options with strikes 90, 100 and 110 on the same underlying asset and with the same maturity are trading for 22.50, 18.84 and 13.97 respectively. show that the convexity of the call ...
4
votes
1answer
1k views

How do I evaluate the suitability of a GARCH model?

Suppose I downloaded the closing price of a company, say Google or whatever, I want to use GARCH model to model and forecast the volatility of the return. To simplify, I only have two questions. ...
5
votes
1answer
561 views

Trade execution in HFT - role of quants

What is the role of quants in trade execution in high frequency trading? AFAIR in "normal" trading trade execution is considered a very mundane task. What role can quantitative modelling play in trade ...
3
votes
3answers
552 views

Generate tick data from candlestick

Is there software (or Python / R / ... scripts) to generate (pseudo) tick data from candlestick data. I have candlestick data (CSV format) from monthly timeframe (MN) to minute timeframe (M1) but ...
4
votes
2answers
573 views

How do you synthesize a probability density function (pdf) from equally weighted price data?

What I'm working with: I have a collection of prices that has very few to no repeating values (depending on the look back period) ie each price value is unique, some prices are clustered and some can ...
3
votes
0answers
74 views

Individual/casual investors and the bias towards blue-chip stocks?

There's quite a bit of research (example, [1]) teasing out the fact that home/casual/individual investors prefer stocks with large positive skewness. It surprised me, as I was reading a bunch of these ...
1
vote
1answer
133 views

Expected length and depth of drawdown

Does anyone know of any model to estimate the distribution of drawdown length and depth assuming a certain portfolio dynamics? The arcsine law seems to suggest that a portfolio can spend a large ...
2
votes
1answer
411 views

Implied Volatility for Asian option

I am new to the topic of Asian options. Assume I want to price an Asian put (fixed strike, discrete average) in the Black Scholes world. I know implementations to calculate the value but what is the ...
4
votes
1answer
463 views

Coin Toss System

Coin Toss Runs Calculator The expected number of runs for two consecutive heads or tails is 3. Is there an edge if we place a progressive constant size bet(limited to 3 times)for consecutive ...
3
votes
0answers
264 views

What makes IRC a market risk?

Since modeling leaves complete freedom we can assume both market and credit risks can enter the picture. However the minimum requirement is (migrations and) defaults simulation, how does this ...
1
vote
0answers
155 views

Backtesting benchmark / control test design

I am designing a backtesting system to test an algorithm. I'd like to have a benchmark / control test results to compare to the results of a custom algorithm. A limited "set" of stocks is selected ...
2
votes
0answers
122 views

What are the proper metrics to look at for checking discrepancies in these two time series

I am obtaining bid/ask price and volume market data from two different sources for the same ticker and for the same day and checking to see that at time intervals X they are "roughly the same". The ...
8
votes
2answers
612 views

Why do low standard deviation stocks tend to have superior future returns?

I've recently stumbled on something that really surprised me. These papers (1, 2) find that past standard deviation of returns is inversely related to future returns. That is, portfolio of low ...
2
votes
2answers
129 views

Gradient tree boosting — do input attributes need to be scaled?

For other algorithms (like support vector machines), it is recommended that input attributes are scaled in some way (for example put everything on a [0,1] scale). I have googled extensively and can't ...
6
votes
1answer
955 views

Conditional or unconditional volatility?

I am reading a paper (reference below) that states "The conditional volatility for each underlying security (or for a market index) can be estimated using the standard deviation of the stock’s ...
4
votes
1answer
354 views

Volatility models using Rugarch

I have estimated sGARCH, EGARCH and TGARCH, which some for particular models are significant. For others, the alpha remain insignificant using various innovations such as the skewed variants of the ...
3
votes
1answer
174 views

Creating a doubling and halving position

I want to create a position that either multiplies with $1+u$ (outcome $U$) or $1-d$ (outcome $D$). The probability of $U$ is denoted by $P(U) = \pi$. The initial value of the position is $V_0$. Given ...
1
vote
1answer
169 views

Looking for analysis of NASDAQ suit?

I may have every particular detail of this wrong, including the exchange, but years ago, maybe as long as 20, there was a successful suit against NASDAQ based on research by academics showing their ...
2
votes
1answer
454 views

Using alpha to evaluate trading strategy

I have a trading strategy that generates returns $R_{t}$. I want to test the strategy by looking at the alpha: $R_t - R_{f,t} = \alpha + \beta (R_{m,t} - R_{f,t}) + e_t$ I compare my alpha against ...
3
votes
2answers
249 views

Where can I find exercises on building a project finance spreadsheet?

I'm looking for a set of exercises that teach how to build a project finance spreadsheet. I accept there may be no typical project finance, but there are a lot of principles are shared in common ...
3
votes
1answer
153 views

Whare are the common Global Asset Allocation indices?

I would like to make a comparison between some multi asset class strategies and some kind of benchmark. In this situation, the classic benchmarks like MSCI World (for Equitites), GSCI (for ...
2
votes
0answers
130 views

Probability Density of Returns of Bonus Certificates

Could anyone please help me with the following? I need to generate a histogram (resp. probability density) of returns of a bonus-certificate. A bonus-certificate can be replicated by an underlying ...
7
votes
5answers
1k views

Sources of Machine Readable News

I'm starting on a project that involves correlating and forecasting Forex time series to news releases. I'm aware of sources such as Thomson Reuter's machine readable news and Dow Jone's Newswire ...
1
vote
2answers
288 views

Choosing attributes for SVM classification?

Let's assume I am classifying every trading day as a 1 or a 0. Exactly what I am classifying doesn't matter, but for the sake of this question let's say I am predicting direction of price change. So, ...
3
votes
2answers
604 views

Equity option portfolio greeks with underlying

I'm curious about how to construct the five basic greeks for an equity option portfolio when there are shares of the underlying in the portfolio. For example, a portfolio of 100 call options and 100 ...
1
vote
0answers
113 views

How is a quanto priced?

How would one price a derivative denominated in EUR that pays in USD?
4
votes
2answers
259 views

What is Heston's equation?

This paper mentions the elliptic Heston operator: $Av:= -\frac y2(v_{xx}+2\rho\sigma v_{xy} + \sigma^2v_{yy}) - (c_0 - q - \frac y2)v_x + \kappa(\theta -y)v_y + c_0v$. Then boundary value problem ...
4
votes
3answers
214 views

self-consistent parametric form for equity implied volatility

I recall reading a paper, but can't remember where I found it. In short, there was a parametric form for volatility smile/skew that fit both index and single stock vol slices and had intuitive ...
4
votes
1answer
400 views

VaR for corporate bonds

I am trying to create a simple risk calculation for the portfolio (ignoring correlations for the moment). I have some corporate bonds with limited daily price changes. Any one have ideas how I can get ...
8
votes
1answer
381 views

Connections between random walk and heat equation (Material for ~)

I am preparing an undergraduate lecture in quantitative finance and I am looking for material that combines the topics: random walk and heat equation The material should be accessible ...
0
votes
0answers
92 views

forward- and backward adjusting stockprices

Do you guys know if a paper has been published that discusses forward- and backward adjusted stockprices, and the look ahead bias coming from backward adjusted data?
1
vote
2answers
470 views

Data feed API that uses REST?

Is there a data feed provider that has a REST (http) API? Preferably real-time and historical, at least for US equities.
5
votes
3answers
2k views

Can the Hurst exponent be greater than one?

Can the Hurst exponent be greater than one? Does it mean that the time series follows a random walk or that it's not stationary?
7
votes
1answer
221 views

Alternative liquidity measures

I'm going to write the MSc thesis on flight-to-liquidity phenomenon in stock markets and I'm interested in liquidity measures other than Amihud or bid-ask spread. What are some other popular measures ...
4
votes
3answers
410 views

Calculating the right portfolio(position size for each leg) in a Long/Short Strategy

For a Long/Short Strategy, I have two stocks with different volatilities. How can I calculate the right position size for each leg? *The pair trading is not coming from co-integration but more as a ...
2
votes
2answers
395 views

.NET statistical packages recommendation

What open source or commercial .NET statistical package would you guys recommend? I am doing statistical arbitrage in options. The functions I need mainly are regressions, optimizations..etc. It would ...
2
votes
1answer
305 views

Risk neutral probability in binomial short rate model assumed to be 0.5?

This should be a basic question but I have not been able to find a satisfying explanation. In the simplest binomial model, the risk neutral probability is computed using the up/down magnitude and the ...
2
votes
2answers
221 views

Construction of “vol of vol”

How do you construct something that lets you buy "vol of vol"? not necessarily for VIX, but any particular stock or index.
6
votes
2answers
771 views

How to transform process to risk-neutral measure for Monte Carlo option pricing?

I am trying to price an option using the Monte Carlo method, and I have the price process simulations as an inputs. The underlying is a forward contract, so at all times the mean of the simulations is ...
1
vote
2answers
412 views

Order and position management in (semi-)automated trading system

A simple and lazy approach to implementing an order and position management (OPM) component in a (semi-)automated trading system: leave most OPM to counter party (broker/exchange). Even then funds ...
1
vote
1answer
195 views

Minimum variance hedge with more than one asset

My portfolio comprises of 3 assets A,B,C that are correlated and the variance-covariance structure is known. At any given point in time, my position in Asset A say is given to me. I need to ...

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