1
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0answers
31 views

HJM model, existence of arbitrage:

The Setup: Suppose I know the yield curve of a Bond satisfies: f (0, t) = 0.04 for t ≥ 0 and f (ω, 1, t) = 0.06, t ≥ 1, ω = ω 1 , 0.02, t ≥ 1, ω = ω 2 , where Ω = {ω 1 , ω 2 } with P[ω i ] > 0, i = ...
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0answers
36 views

References about market neutral portfolios that isolate unsystematic risk

I am looking for references, information, backtests etc. about market neutral portfolios that go long the index and short stocks of that index with high unsystematic (idiosyncratic) risk. The idea is ...
1
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0answers
54 views

How to fit exogenous + GARCH Model In Python?

I am studying a textbook of statistics / econometrics, using Python for my computational needs. I have encountered GARCH models and my understanding is that this is a commonly used model. In an ...
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0answers
94 views

Heston model - Andersen scheme implementation

I would like to implement Andersen scheme for Heston simulation. On the following snipped is my code for generating asset path: ...
1
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0answers
27 views

Change in portfolio when IPO announced

I'm wondering whether there would be a change to my answer of the change in portfolio when there is a new stock introduced. My investment strategy is to maximise expected return such that my standard ...
1
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0answers
39 views

Avellaneda/Cont model Order Book Model

The model given in the following paper by Avellaneda et al http://people.stern.nyu.edu/jreed/Papers/limitorder.pdf On page 7 he explains that the initial Bid and Ask size should be normalised by ...
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0answers
116 views

Skewed Generalized Error Distribution's (SGED) pdf

I want to use the SGED distribution of Theodossiou for GARCH estimation, however, I am struggling to understand which is the correct pdf function of the distribution. Let me just say that the ...
1
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0answers
40 views

Moody's seasoned corporate bond yields

The Fed publishes Moody's seasoned corporate bond yields here. These yields are not broken out by maturity. According to this website, the yields represent "long-term" bonds, with minimum and ...
1
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0answers
33 views

Cumulants of variance gamma with stochastic arrival (VGSA) model

The characteristic function of the VGSA model is defined as a specific parameterization of the characteristic function of the CIR (Cox-Ingersol-Ross mean reverting process) time-change: $ ...
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0answers
14 views

Which rate have to be considered by using multiliteral netting?

I do have a netting structure consisting of four companies (A,B,C,D) and a netting center. The center also takes place in the netting process. The netting center uses the EUR as currency. Company A ...
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0answers
86 views

Simulating Option Positions VaR with Monte Carlo in Python

I'm trying to calculate VaR for overall option positions. Currently I do a MC simulation for the underlying, and derive the theoretical value of the option from those theoretically. Then I calculate ...
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0answers
37 views

Where can I find bonds time series?

I want to study dependence and correlation between bonds and CDS. I have already found a large CDS database of time series there: www.datagrapple.com I am looking for such a similar database (with an ...
1
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0answers
34 views

Through the Cycle calibration of PD values

It is a known fact that default rates seem to exhibit cyclic behavior. Most probability of default models use one-year averages of default rates to calibrate the models. The one-year averages should ...
1
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0answers
16 views

Are COFER unallocated resource changes meaningful?

I've been looking at the currency reserves (COFER) data on the IMF site: http://data.imf.org/?sk=E6A5F467-C14B-4AA8-9F6D-5A09EC4E62A4&ss=1408202647052 What caught my eye was the 5% drop in ...
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0answers
42 views

What's the problem with simple EMA-crossover strategies?

I'm looking at charts of bitcoin here: https://bitcoinwisdom.com/markets/kraken/btceur with the option of displaying a short term as well as a long term EMA. It seems to me that if I were to buy ...
1
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0answers
20 views

jump-resetted diffusion process

I'm working on a model in which there are two processes, $H$ and $L$, and the final variable to model starts as $H$ and then whenever a jump occurs, an instance of the $L$ processes starts and ...
1
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0answers
37 views

Is the European call option delta an increasing function of the spot?

In the Black-Scholes' setting, the delta hedge ratio of a European call option is given by $N(d_1)$, which is an increasing function of the underlying equity spot $S_0$. Does this property hold ...
1
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0answers
56 views

Portfolio Optimization with equal weight for assets selected

I have a data frame of bets, with 1 being a win and 0 being a loss. These bets are correlated so I cannot just pick the highest winning percentage. Goal is to get 2 optimizations, 1 for max sharpe ...
1
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0answers
49 views

copulas and time series

Can anbody explain how Copulas are used to describe the dependency between, for example, the return on two different stocks? I understand how Copulas are the "glue" that binds the two marginals ...
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0answers
46 views

simple game - fair value

Suppose a person A has the following game: there are 2 red balls, 2 green balls and 1 white ball in a bag you take 1 ball (don't put it again in the bag) and then a second ball if you take the white ...
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0answers
52 views

Fourier transform covariance estimator

I am estimating realized variance and covariance by the estimator described in this paper, and relying on Fourier Transform. Now, as my data is one day of data in ultra high frequency, so that the ...
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0answers
84 views

Good state of the art document about Algo Trading systems

I'm currently working on the requirements phase of a software project, and need get an overview of the industry regarding the tools available for Algo Trading. My first idea was to look for Gartner's ...
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0answers
73 views

Match different option high frequency databases

I downloaded the “E-mini S&P 500 (Dollar) Options for 1/10/11” Top-of-Book (BBO) data. If you are interested you may download the data from the following link (approx. 80MB zipped and 1GB ...
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0answers
44 views

Fair Price CDS Spread for a Bank

I have been using CreditGrades to calculate fair one year CDS spreads for firms. However, the authors of the model explicitly say that the model does not hold for banks or financial firms. If I need ...
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0answers
77 views

Comparing Implied Vol. to Historical Vol. using intraday data

I'm interested in estimating what my profit/loss would be for continuously gamma scalping a delta hedged option over the course of one day, using historical intra-day price data. I found an equation ...
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0answers
92 views

Adding Asset Weights To Cholesky Output - Monte Carlo in VBA

I am looking to create a Monte Carlo generator in Excel to plot correlated asset paths for a portfolio containing 1 to 10 assets. I have the correlation matrix for all 10 assets and have performed the ...
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0answers
177 views

Formula behind pandas.Options() implied volatility

I noted that implied volatility (IV field) from pandas.Options class is very different (especially, for out of money options) than what I compute with Black-Scholes model. (risk free rate is pulled ...
1
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0answers
97 views

Triangular Arbitrage with CFD

I cannot understand how the triangular arbitrage fits with CFD. Assuming there is an arbitrage opportunity: EUR/USD < USD/GBP * GBP/EUR If I do this strategy: 1 Long on EUR/USD at Ask price 1 ...
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0answers
43 views

Motivation for hedging volatility using VIX ETNs

i wondered what the motivation for professional investors could be to engage in VIX ETNs. Would they even think about trading this kind of product? (they normally should have access to VIX options, ...
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0answers
16 views

Scalar and vectorial sensitivities

In a recent discussion about the implementation of the calculation of derivative sensitivities, the notion 'scalar' and 'vectorial sensitivities' were used. I am not familiar with this notion and ...
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0answers
58 views

“Spot rate is not observable” meaning

In Bruno Remillard's text, "Statistical Methods for Financial Engineering," he states the following on p 148 after giving the general form of a bond price $P(t,T)$ under Vasicek's model: Note that ...
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0answers
86 views

Determining the investment strategy

I have the following problem: Consider the 5 year investment strategy and given the yearly portfolio returns $S_{t+1}/S_t$ and dividends $D_{t+1}$ paid at $t+1$ which are modeled as: ...
1
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0answers
28 views

Construction of bond portfolio represented by a CDS-Index

Markit publishes investable basket CDS indices. These are indices intended to track the credit risk of a basket of issuers (e.g. in the case of iTraxx Europe Series 24 these are 125 names) in an ...
1
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0answers
92 views

Turnbull & Wakeman Asian - not Edgeworth?

My understanding is that Turnbull & Wakeman derived an approximation formula for continous arithmetic Asian option using Edgeworth series by matching the first two moments. However, in the book ...
1
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0answers
121 views

Application of time series analysis to Bitcoin prices

Various exchanges allow for the trading of Bitcoins. The price of Bitcoin was very volatile since the inception of the system, today it is 391.76 USD: I wonder whether time series analysis tools ...
1
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0answers
51 views

state space for affine yield curve

i would like to reproduce in R the working paper " Affine free arbitrage class of Nelson Siegel term structure". The authors considering the equation of nelson siegel plus an adjustment term(C(t,T)) ...
1
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0answers
49 views

affine arbitrage free class of nelson siegel yield curve

I'm studying statistics for finance at university. Last week i read the working paper on "The Affine Arbitrage-Free Class of Nelson-Siegel Term Structure Models". I would like to reproduce in R ...
1
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0answers
25 views

Soft: Interpretation Fractional BM in finance

Suppose we are in the BS framework. If we replace the Brownian Motion with a more general fractional Brownian motion therein, how can it be interpreted? That is what is a financial interpretation of ...
1
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0answers
167 views

How to add buy/sell market on a long/short Bollinger Bands graph in python?

I am using python, pandas, matplotlib to do the following: I have plotted some stock data ...
1
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0answers
31 views

Commercial Vendors for Risk Management and Portfolio Optimization and Performance Attribution

So this question is directly about companies such as Axioma, Barra, Northfield, and etc. that provide risk management, portfolio optimization, and performance attribution related services. I want to ...
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0answers
47 views

Returning historical yield rates for Mortgage Backed Securities in a Bloomberg Terminal?

Forgive me if this isn't the right place, and direct me to the correct place to post. I've been trying to figure out how to get the yield rates for Mortgage Backed Securities (MBS's) in the United ...
1
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0answers
37 views

Generalized method of moments concept in CAPM testing

In the course of my master thesis I’ve come across a paper by Carr and Wu (2009) where the authors evaluate whether returns on variance swaps can be explained by the simple CAPM. (really only market ...
1
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0answers
84 views

How to calculate break-even point of merged plant/company?

The question goes like this : ...
1
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0answers
65 views

Monte Carlo simulation of Multifractional Brownian Motion in MATLAB

Code under is taken from http://en.literateprograms.org/Monte_Carlo_simulation_(Matlab) ...
1
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0answers
82 views

Risk-Free Rate In CAPM

Let's start out with the CAPM equation itself: $E(R_i) = R_{f1} + \beta_{i}(E(R_m) - R_{f2})$ Are there cases where one should choose a different $R_{f1}$ and $R_{f2}$ (Risk Free Rates Of Interest) ...
1
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0answers
52 views

How to handle missing data in time series in R?

I have 5 years stock closing price of a company with some missing values in between (I having 1443 data points). When I create timeseries object in R with frequency 365 it creates 1834 data points, R ...
1
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0answers
33 views

negative transition probability in trinomial trees

I was pricing a option with big dividend in the underlying. However, I got negative transition probability in a trinomial tree. Will it cause arbitrage? Does anyone have reference paper or book ...
1
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0answers
38 views

Impact / slippage model for open and closing crossing auctions?

The general impact model for trading a VWAP order throughout the day has the form of: $\alpha \cdot \sigma_n \cdot \text{(participation rate)}^\beta$ I'm looking for an impact / slippage model of ...
1
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0answers
70 views

State of Art - Nelson Siegel Modeling

My idea is to work with dynamic Nelson Siegel models(DNS) on my master's thesis. As I am finishing undergraduation this year I started researching on the subject. I wonder what is being discussed in ...
1
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0answers
75 views

Calculating PnL from log prices

I'm backtesting a statistical arbitrage strategy. To calculate the PnL I simply use $Y(t)-Y(t+n)$ for the profit on the first leg and $\beta*X(t) - \beta*X(t+n)$ for the profit on the second leg, ...

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