# All Questions

108 views

### Is it better to hedge or reduce the position size? [closed]

Traders hedge to reduce their risk. However, wouldn't reducing the position achieve the same results while keeping the risk management process simpler? At least, one need not worry about making the ...
104 views

### Calculating spot level using tick data

What is a proper (or commonly used/accepted) way of calculating some spot value with tick data? At the moment I can think of two options: Take the latest available best bid, latest available best ...
177 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 ...
465 views

### Brownian motion - first passage time

Can anyone point me to the expression for the first passage time for a geometric Brownian motion process X(t) as a function of the starting point, threshold, drift and diffusion parameters. I am ...
201 views

### Has there been success in applying Mandelbrot's ideas to financial markets?

More specifically, I am looking for recent research papers that have harnessed Mandelbrot's ideas too successfully predict asset prices. I have read many papers about wavelets, and I would like to ...
99 views

Is there any good research on the price elasticity of trading in financial markets? Things like optimal fee structures and the like?
69 views

### different amount of information on return correlations from shorter and longer periods?

I want to calculate annual excess returns on portfolios using monthly (total) returns for a CAPM (for the assets in the portfolio as well as for the benchmark), in order to have more information on ...
283 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 ...
194 views

### Need to match my bond price calculation to that of Bloomberg, currently failing hard

I have a fixed-coupon bond with the following characteristics: ...
137 views

### Regression of Unequally Weighted Portfolio against a Single Index

When I regress a single stock against a market index, I get a high value of R2 and beta closer to 1. APPL.fit <- lm(APPL ~ JKSE) When I regress an unequally ...
287 views

### Blackbox Optimization + Bootstrapping = Parameter Selection?

Most automated trading systems have a number of embedded parameters such as the lookback periods, entry and exit thresholds, etc. This is like the moving average crossover system or any of the systems ...
158 views

### Add transaction costs to prediction

An algorithm predicts price movement by some certainty and it invests proportional to the confidence level. Predictions range from -1 to +1, -1 meaning sell for a value of ...
165 views

I am considering a product composed of 10 underlying assets. The maturity is 5 year. Each year if the performance of the equi-weighted portfolio reach a barrier, it pays a coupon. My question concern ...
213 views

### Regression giving the return on a stock

I have this regression equation: $$R_{stock} = 3,28\% + 1,65*R_{market}$$ Where $R_{stock}$ is the expected return on a stock and $R_{market}$ being the market risk premium. I have a one-year ...
157 views

### Pricing swaptions

What are the approaches available to price a swaption (either European or American style)? So far it seems Black method is the only one used. Thanks!
58 views

### Why might a manager consider using an interest-rate in which the notional principal amount declines over time?

Say swap would be used to convert the payments of its portfolio of fixed-rate residential mortgage loans into a floating payment. Why might a manager consider using an interest-rate in which the ...
171 views

### Eurdollar Futures

Trying to understand the Eurdollar market a little better. I understand it's the market for dollar denominated deposits outside the US (not just in Europe). They are unregulated and not subject to ...
316 views

### Probability of trade's exit orders being triggered in random-walk market

When placing a trade with Stop Loss and Take Profit orders in a hypothetical random market (i.e. 0.5 probability of up tick and 0.5 probability of down tick), assuming: x is the distance in ticks of ...
366 views

### Is making a bid/ask offer a good way to lower the spreads?

I have written an algorithmic trading program which relies heavily on low spreads in the 0.1-0.3 PIP region. I was now wondering if it would be a good idea to place bid/ask offers instead of limit ...
228 views

### Absolute Dollar Form Of Kelly Criterion

Is there a absolute dollar form of the Kelly equation $f=\frac{m}{s^2}$? (i.e. one that does not use percent returns).
390 views

### Performance Stats of Pairs Trades

This is something I've been thinking about for a while but I can't reach a clear conclusion. When we calculate, for example, the profit factor for a pairs trading strategy, do we treat each pairs ...
116 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 ...
214 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 ...
331 views

### Unsystematic/Idiosyncratic/Firm-specific volatility/variance in the market model?

I was asked to use idiosyncratic volatility as a regressor in a cross-sectional regression upon cross-sectional returns as the dependent variable. Returns can be thought of as the raw log stock return ...
229 views

### Fastest algorithm for extracting 25% and 75% marks

I'm hand rolling some visualization algorithms. Extracting the min/max of a time series is $O(n)$, for n entries. If I want the 25% and 75% mark, I could use an $O(n \log n)$ time sort, then get the ...
403 views

### What is the instantaneous P&L of a Variance Swap?

What is the instantaneous P&L of a variance swap. Is it $(\sigma^{2}_{t}-\sigma^{2}_{implied})dt$?
411 views

### Does amortization of bond start accumulating on trade date or settlement date?

I am sorry if this is not appropriate here. We are building a wealth management system and I really would like to know whether amortization of bond start accumulating on trade date or settlement date ...
154 views

### How can I estimate the parameters of an option value model of retirement?

I am modelling an option value model of retirement, see for instance Stock and Wise (1990). I am however not sure to which class of problems this model falls into and hence which optimization method I ...
354 views

### Does Ito/Malliavin calculus have any applications helpful for direction based trading?

I'm an aspiring computer scientist who want to move into algorithmic trading at some point. At the moment I'm mostly focusing on courses in machine learning/data analysis etc. but I've noticed that ...
128 views

### Brent Crude Data

I am trying to locate historical volatility data (5+ years) for Brent Crude? Does anyone know where I might be able to source such data?
389 views

### T-note returns from T-note yields … derivation of Damodaran's formula

Damodaran's historical data on 10-year T-note returns (found here) uses the following formula to calculate the 1-period total return on a T-note ($R_1$) given the 10-year constant maturity ...
136 views

### Derivatives with a floating Libor leg

If Libor is found to be fraudulently fixed, are any of the derivative contracts with a floating libor leg still valid?
152 views

### help me compare methods to compute one instrument price from another instrument price

Assume we have two instruments A and B. Also time is increasing from 1 to n. Let's say that ...
240 views

### Normalized data

I am new to this. I trained and tested my data using SVM in Matlab with the autoscale option true => the data would be normalized with unit SD. Let's say the training data have the price around 200. ...
462 views

Suppose you backtest the EUR/USD (or GBP/USD) forex pair with this system on the 1min timeframe: 1) Enter the market at any time n: go long if the "future" bar n+1 has a higher close as the close ...
268 views

### Testing a simple stock market trading hypothesis? [closed]

I have a simple stock market trading hypothesis ... Something along these lines: Based on a certain deviation from a stock market index over a 30-day period, 5 certain stocks tend to drift ...
926 views

### How is mean reversion implied by different valuations of Bermudan swaptions?

Someone told me that mean reversion can be implied by the different valuations of bermudan swaptions when using different methods for volatility calibration. Does anyone know what this means?
272 views

### Reading recommendation on using statistical analysis in online fraud prevention [closed]

Can you please recommend good reads on statistical analysis related to online fraud detection and prevention of account abuse?
25 views

### finance - using CAPM [closed]

The risk-free rate is 4%, and the expected return on the market portfolio is 12%. Using the Capital Asset Pricing Model: a. What is the risk premium on the market? b. what is the required return on ...
44 views

### Pricing rule shall be a martingale measure

In the book "Financial Modelling with jump processes" by Cont and Tankov there is a chapter that explains martingale pricing principles. It is not extremely formal, but gives the idea underlying the ...
41 views

### Cause of long term inflation in the United States [closed]

Does the US government have a policy of printing money? If so what is this number called, who decides what it is, and where can I find it? If not what is the cause of our long term inflation? (I'm ...
59 views

### Binary option expression

Given r=0, σ(K)=const Binary=lim┬(ε→0)⁡〖((C(K,σ(K))-C(K+ε,σ(K+ε))))/ε〗 What is the analytical expression for the binary option value? σ(K)=const Therefore, Binary=lim┬(ε→0)⁡〖((C(K)-C(K+ε)))/ε〗 ...
74 views

### Normalization of Market Data in Time Series Correlation

Suppose we have 2 time series of market data, one for each security and we want to correlate between these 2 securities. My question is How do we handle gaps of missing data in the time series? ...
25 views

### I want to prove Determine the coupon rate $r$, such that the price of the bond, at $T_0$, equals its face value

Consider a coupon bond, starting at $T_{0}$ , with face value $K$, coupon payments at $T_1, . . . , T_n$ and a fixed coupon rate $r$. Determine the coupon rate $r$, such that the price of the bond, at ...
49 views

### Best sources for worldwide balance sheet data?

I’m interested in databases with quarterly balance sheet data of the financial sector. I’m aware of the following datasets: -Compustat -Compustat Global -Bankscope Can someone point out other ...
75 views

### Black scholes text book

I am looking for an easy and well presented introduction to Black-Scholes theory and stochastic calculus aimed at undergraduate mathematics students. Please can you recommend a book? How about Paul ...