1
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3answers
229 views

Estimate of fx trading volume

I understand that there are no official figures of fx trading volume per currency, but are there any good estimates? Is there any fx exchange that is particularly forthcoming with its volume data, ...
1
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2answers
1k views

HFT enhancements for FIX (Simple Binary Encoding) vs proprietary protocols performance and cost

I would like to know from those that have used FIX (with Simple Binary Encoding) for HFT compares with the current (proprietary) protocols in use that often vary per counterparty. Interested in ...
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1answer
60 views

Why is the discount function non increasing if pure cash holdings are feasible?

I am struggeling with the question, for example lets take a swap with rate of 3.2 for one year and 3.6 for 2 years and Discount Factor 0.96899 for the first year and 0.93158 for the second year. ...
1
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2answers
189 views

moody's credit ratings for senior unsecured bonds

Can 2 senior unsecured bonds from the same obligor have different moody's credit ratings? Or do they both have to have the same rating because they are in the same capital structure? Thanks
1
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1answer
156 views

What's wrong with this asset growth simulation?

Sorry if this is too basic, but I have this spreadsheet that simulates asset growth of a portfolio under a given return and risk using MPT. Here is a plot of probability distribution of asset ...
1
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2answers
76 views

Is “Issuer and Holder with same strike” meaningless?

I've seen a callable putable bond whose first exercise date is an exercise date both for the holder and the issuer. Moreover both strikes have the same value: 100. I wonder what does it mean. I ...
1
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1answer
219 views

Control variate for Heston model

Does anyone have suggestions for potential control variates for vanillas in a Heston model? I've tried black scholes with implied volatility, average volatility and long term volatility all without ...
1
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1answer
559 views

Automatic fixing of missing floating rate in QuantLib's addFixing()

Due to the periodic fixing of floating rate bonds's coupon rates, in order to calculate the bond clean price one must tell the pricing engine to account for previous LIBOR rate fixing. If I am right (...
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1answer
285 views

Definition of “tenor” argument in QuantLib's Schedule class object

In QuantLib an object of class Schedule takes const Period &tenor as argument. I would ...
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2answers
146 views

how to extend lognormal model so that $\sigma$ is correlated to $\mu$?

Consider a log-normal model, $dx / x = \mu dt + \sigma dW$, where $W(t)$ is a Wiener process. Let's say $\mu$ and $\sigma$ change with time, slowly, so we note them by $\mu(t)$ and $\sigma(t)$. ...
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2answers
1k views

Partial Least Squares Discriminant Analysis

Could anyone point me to detailed literature about "Partial Least Squares Discriminant Analysis"? Intuition, methodology and examples.. Thanks,
1
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2answers
598 views

garchOxFit in R

Could someone please help me with trying to get the Ox interface to work in R. I followed the steps outlined in this paper (http://papers.ssrn.com/sol3/papers.cfm?abstract_id=1752095), but I get the ...
1
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1answer
2k views

Normal vs Lognormal Short Rate models

Are there any general arguments to decide whether it is better to use a model with a normal or a lognormal distribution of the short rate? E.g. Hull-White with a normal and Black-Karasinski with a ...
1
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1answer
121 views

Bracket-Notation in SDEs

I often come across the following notation in my script, and I have not found it anywhere else. While our lecturer insists it is of utmost importance to write this way in his exams, he yet failed to ...
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1answer
466 views

why banks shall keep short term gap position low?

I'm reading "Insights for Bank Directors" (http://www.stlouisfed.org/col/director/reference_view.htm), a good introduction to commercial banks, based on a virtual bank "Insight". It talks about Gap ...
1
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1answer
352 views

What are the differences between CFD and SSF?

What are the intricate differences between SSF and CFD? The similarities are that both take into account interest and settled daily thus looks more or less the same pima facie.
1
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2answers
156 views

Statistics of difference between two GBMs

if I have two asset prices modeled separately as geometric brownian motions. How do i go about calculating the expected statistics of their difference? Like given the sigmas and mus of both processes, ...
1
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1answer
178 views

How to deal with different amount of td's in computing Sharpe Ratio

In calculating the Sharpe Ratio, should I take into account the days were I have 0 return due to non-trading day? Another user posted a similar question but this was related to trading days with no ...
1
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1answer
245 views

Testing Black Scholes Analytical Options Pricer

I've written some code to calculate European option prices using the Black-Scholes analytical method. Can somebody recommend a good way to test that code? I have looked at option pricers online like ...
1
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1answer
133 views

Find a paper about portfolio management

Where to find the following paper of the noble prize Paul Samuelson (2003) “When and Why Mean-Variance Analysis Generically Fails,”. I was looking for it desperately on Google and Google Scholar but ...
1
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1answer
370 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 ...
1
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1answer
1k views

How to interpret/use VaR and Standard Deviation?

The parametric VaR is defined as follows: $$VaR=Z_a*Vol$$ Is this the best way to interpret how much risk is being taken on for a particular asset? How does one interpret volatility on its own if ...
1
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1answer
72 views

How to attribute income that incurs a double liability in a P&L?

I'm a developer writing a system for a startup. Without giving away too much of the business model, here are the basics of how it works: The web site has two forms of "currency": tickets and ...
1
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1answer
599 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 ...
1
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1answer
474 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 ...
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1answer
546 views

CARA Utility function expected utility

I have been trying to undestand how the expected utility for a CARA negative exponential Utility function is calculated. In my particular case the variable has normally distributed returns. Could ...
1
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1answer
751 views

How to compute portfolio weights from multivariate regression results?

Assuming that I performed a multivariate regression and I found a set of $k$ coefficients $\alpha_1, ..., \alpha_k$ for each of the factors $F_1, ... F_k$. I have then computed the following ...
1
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1answer
398 views

Use of AI in portfolio optimization

A new Danish hedge fund has received quite a large amount of attention in the last month or so. They are launching a new investment fund that uses proprietary AI to select stocks to invest in. They ...
1
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2answers
351 views

Proxy for risk in portfolio theory when return can take only two values

I'm trying to adapt tools from portfolio theory for another use, and I have a question about how I might do so. Suppose that instead of having normally distributed returns, the return $R_i$ is ...
1
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1answer
432 views

Calculating Theta assuming other variables remain the same

Is there any way to calculate theta at X day in future based solely on knowing 1) Total Current Option Price 2) Days Till Expiration How would this be done? Thank you
1
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1answer
2k views

What is the difference between STOXX and STOXXE?

Could anyone explain the difference between STOXX and STOXXE? Which is the right index for benchmarking European stocks? Thanks.
1
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1answer
2k views

How to get started in quant finance? [closed]

I am a programmer and I have no finance background. I am looking for advice as to how to get started in the quant finance industry. My goal would be to have solid understanding about the industry and ...
1
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2answers
1k views

How do I calculate weighted mean with negative weights?

I need to display in my system the amount of stocks that I own and the average price it took me to buy them. I am having a problem doing that when I include the selling. Lets say I bought 4 stocks ...
1
vote
1answer
41 views

Pricing of a Forward-start option in a Black-Scholes framework

I have read the pricing procedure of a Forward-start option in a Black-Scholes world in Musiela-Rutkowski, but I don't find their proof clear (pp. 195-6). Let me summarize their argument: Consider ...
1
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1answer
46 views

Is Poisson Disk Sampling an alternative to crude Monte Carlo and QMC?

I recently stumbled over Poisson Disk Sampling (here and the meditative version). I wonder if it is an alternative to crude or quasi Monte Carlo for very high dimensional integrals. It is not ...
1
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2answers
41 views

Monte Carlo Accuracy - Antithetic Variate Method

I'm self studying for an actuarial exam and I am curious about a property of the antithetic variate method for increasing the Monte Carlo price accuracy (i.e. For every random draw of $z$, also ...
1
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1answer
35 views

Merton portfolio allocation problem proportions/weights >1 or <0?

In the classical Merton portfolio problem, lets assume: $$ dX_t \, = \, \frac{\pi_t X_t}{S_t} S_t(\mu dt +\sigma dW_t) = \pi_t X_t (\mu dt +\sigma dW_t) $$ ie: zero interest rates for simplicity. ...
1
vote
1answer
50 views

What is curvature risk?

The BCBS has presented a new standard approach for measuring risk for a portfolio, which is based on sensitivities, that is “delta”, “vega” and “curvature” risks. Delta risk measures the change in ...
1
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1answer
32 views

How to understand the following limits when kapa limits to Zero

The equation is quite simple, however it is not very obvious to me to have the following relationship: $$\begin{equation} \frac{1-exp(-\kappa(T-t))}{\kappa}\rightarrow(T-t) \quad \rm{when\space} \...
1
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1answer
54 views

How FOK or IOC order types are executed

Ok, I know what's the difference are between them but still have some question. Let's say that the exchange's limit order book looks like this: (order depth of LOB) Now, let's say I send a buy FOK ...
1
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1answer
52 views

Initial/Boundary Conditions for a Butterfly Option?

What are the initial and boundary conditions for a Butterfly Option? I want to write up a PDE program for it and I have a rough idea of what the payoff should be (is it just a call and a put at the ...
1
vote
2answers
45 views

s&p500 companies value vs growth

I was thinking of examining how the constituent companies of the s&p500 are affected by sentiment in crises. Is there any way to download stock prices for all the companies? Moreover how can I ...
1
vote
1answer
66 views

How to understand the following brownian integral using Fubini's method?

I am a little bit stucked with the following integral process, using Fubini's method, this is an intermediate step of short rate Merton Model. $\int_{t}^{T} W(s)ds=\int_{0}^{\hat {T}}ds\int_{0}^{s}...
1
vote
1answer
18 views

How does this statement about the price of a prepaid forward on a stock follow?

I am self-studying for an actuarial exam on financial economics. This statement in the following problem/solution seems to imply that the prepaid forward price on a stock is the same as the prepaid ...
1
vote
2answers
47 views

How do they calculate stocks implied volatility?

I know the construction of Black-Scholes model and how do we solve it for an Implied Volatility. But in general, which option ...
1
vote
3answers
119 views

Python everywhere but where do they execute orders?

About every introduction I've read about automatic trading writes about how well python is suited for the task. But looking around, I've been able to find just one brooker, Oanda, which has a python ...
1
vote
1answer
62 views

How was money made from bond yield convergence?

I'm currently reading a book which provides examples of how hedge funds employed a global macro trading strategy in the past to generate significant returns. Once such example is the convergence of ...
1
vote
1answer
35 views

Find the parameter $d$ of the Affine Option Pricing Model in Duffie, Pan and Singleton (2000)

According to Duffie, Pan and Singleton (2000) for any real number $y$ and any $a$ and $b \in \mathbb{R}^n$, the price of a security that pays $\exp(aX_t)$ at time $T$ in the event that $bX_t \leq y$ ...
1
vote
2answers
99 views

How to simulate 3 correlated stock processes following a GBM?

Suppose we have 3 stocks following GBMs. We are given the distribution of the daily log returns which is multivariate normal. Suppose I want to sample the stock price tomorrow ($\Delta t = 1$ day), ...
1
vote
2answers
63 views

Simulate drifted geometric brownian motion under new measure

I have a very fundamental question regarding simulation of DRIFTED geometric brownian motion. We have the standard Blackos Scholes model: $dS(t)=r S(t)dt+\sigma S(t) dW^{\mathbb{P}}(t)$, where $W^{\...

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