2
votes
1answer
60 views

distribution of AR, MA coefficients estimation in ARMA-GARCH models

could anyone give me an information about distributions of AR and MA coefficients via estimation? So, for example, I have ARMA(1,1)-GARCH(1,1) model with the same AR(1) and MA(1) parameters ...
3
votes
2answers
154 views

Which Database (MySql or NoSQL) for a Stock market App

I'm re-creating an app for Stockmarket Screening & Realtime charting Display. The database wireframe which i propose to design is as follows: 1. Company master - Where all the information of ...
1
vote
1answer
48 views

Symmetric probability and subjective return

Let $\{Z_k\}_{k=1}^{N}$ be a sequence of i.i.d. random variables with the following distribution $$Z_k = \begin{cases} \alpha &\text{with probability} \ \hat{\pi}\\ -\beta &\text{with ...
1
vote
1answer
39 views

Greeks across different underlying

To monitor risk of a client portfolio, does it make sense to accumulate Greeks across different underlying? If yes, how can Greeks be normalized across different underlying?
2
votes
1answer
77 views

Mean reversion and adjusted beta for pairs trading

Trying to evaluate model for pairs trading. Consider classic formula: $\frac{dP}{P} = adt+b\frac{dQ}{Q}+dX$, where $P$ and $Q$ are stock prices, and $X$ is a mean reverting process (MRP) and $a$ is ...
7
votes
1answer
129 views

How do different models impact option Greeks?

If I trade an option using delta, vega, Prob OTM, etc. these are derived from a model. How do leading models impact valuations in terms of the Greeks? I suppose to form a baseline it would have to be ...
1
vote
1answer
99 views

Pricing of Black-Scholes with dividend

Consider the payoff $g(S_T)$ shown in the figure below. Consider Black-Scholes model for the price of a risky asset with $T = 1$, $r = .04$, and $\sigma = .02$ and dividends are paid quarterly with ...
1
vote
2answers
77 views

Counting random paths

Assume the path of a certain stock can be modeled using a binomial tree. The initial price of the stock at time $t=0$ is 1024. The upstage factor of the stock price is $x=1.25$ and downstage factor of ...
3
votes
2answers
68 views

What is the name of all 1-day movements, 2-day movements etc

When looking at historical data (index or stock), one can find all 1-day differences/movements, all 2-day, all 3-day etc and graph the extremes of each of these. This gives two line graphs forming a ...
1
vote
1answer
45 views

Getting quote stream via fix-api 4.3

I'm new to FIX api,so far i did following (on QUICKFIX) logged on to quote-session subscribed to market data sent "single-message" quote-request for an instrument (EUR/USD for example) ...
1
vote
0answers
18 views

Local volatility grids - Monte carlo - Implementation [closed]

I read the paper "Monte Carlo pricing with local volatility grids" (authors: D.F. Abasto, B. Hientzsch and M.P. Kust) and I would like to know if anyone on this forum had a chance to implement it as I ...
1
vote
0answers
52 views

Bloomberg Currency Exchange Rate Data (London and New York)

I'm new to Bloomberg terminals (a paper I'm reading uses data from a terminal - my first exposure) and I'm having trouble figuring out how to download a few different time series: (1) daily closing ...
2
votes
0answers
83 views

Finance Projects in Python [closed]

I am new to this forum. I work in the Market Risk Domain at a leading Investment Bank. I am currently learning Python. And the best way to learn is to experiment with some Real Live ...
7
votes
2answers
95 views

Are there any integrated framework that I can back-test and paper/live trading in one place?

I'm trying to start working on a fully automated algorithmic trading system, and I'm a little struggling with the framework to use. The requirements I have in my mind are: Needs to support ...
1
vote
1answer
93 views

Relations between Call and Put

I am trying to solve a question in finance but I am pretty much stuck and would need your help :) Suppose you know the following information about a market: Future is at 66 70 strike straddle is ...
2
votes
1answer
42 views

Backtesting Strategies - Sampling and returns types

I am back testing a strategy in R and I have some questions about testing design. I have a universe of around 500 stocks to test filtered based on liquidity. To test the trading strategy I have ...
2
votes
0answers
53 views

Simulate correlated Geometric Brownian Motion in the R programming language

In response to this question: How to simulate correlated Geometric brownian motion for n assets? One of the responses provides an implementation in MATLAB: ...
2
votes
1answer
134 views

Black-Scholes Equation with dividend

Consider a European option with payoff $$g(S_T) = S_T^{-5}e^{10S_T}$$ Assume that the interest rate is $r = .1$ and the underlying asset satisfies $S_0 = 2, \sigma = .2$, an pays dividend at ...
1
vote
1answer
44 views

Parametric VaR of a portfolio including a swap

I am calcualting the parametric VaR of a portfolio that includes among other things an IRS swap that begins in the exact same day the valuation is done. Therefore, its NPV is 0 and I do not which ...
1
vote
1answer
36 views

Having Difficulty With Sharpe Ratio and Optimal Portfolio

I have begun by using such equations as: By finding the $Rp$ and $\sigma p$ with the weighted values, and then I followed the equation using a value of $.02$ for the fixed asset, $rf$, but this ...
1
vote
3answers
38 views

Where can I get json currency data feeds every millisecond?

I have been looking for free or paid json data feeds on currencies for long. I have come across: currencylayer.com Oanda XE The problem is that I really need millisecond based updates. Can ...
2
votes
0answers
44 views

Johansen cointegration test interpretation in R

I want to test my time series for cointegration using the Johansen test in R. I got the following result and so I know now that at least 5 out of 9 of my time series are cointegrated. My question is, ...
1
vote
0answers
40 views

Calculating expected annual returns [on hold]

An economy contains these three assets: Asset A has standard deviation of returns (per annum) of 25% and market capitalisation $600m Asset B has standard deviation of 20%, market capitalisation ...
1
vote
0answers
14 views

How to enter to economics/finance sector [closed]

Although my question is a general question, I would appreciate your suggestions or help me to find a proper "stack exchange" in order to ask my question: I am a Ph.D student in (Pure)Mathematics and ...
5
votes
2answers
51 views

Extensions of CIR

I could need some advice on extensions of the CIR model. The standard CIR reads $dr(t)=\kappa(\theta-r(t))dt + \sigma \sqrt{r(t)} dW(t)$. A possible extension, if we would like the short-rate to ...
4
votes
3answers
59 views

Constant Maturity IV

I want to analyze IV skew under various market conditions but its hard given various expirations. Would it make sense to create a constant maturity IV that say is 60 DTE? Has anyone done this and what ...
2
votes
1answer
52 views

Option pricing: Risk neutral probability calculation

Let $u=1.3$ $d=0.9$ $r=.05$ $S(0)=50, X = \text{strike} = 60$. Assume binomial model Why isn't the risk neutral probability found by solving the following for $p$: ...
0
votes
0answers
11 views

shrinkage intensity via tawny

I'm attempting to generate a shrunked covariance matrix using the tawny package according to the Ledoit-Wolf method. However, I'm getting an odd result for the shrinkage factor using ...
1
vote
0answers
39 views

Leverage and Drawdown

What are the risks of deleveraging a leveraged long/short equity portfolio when going into a drawdown at certain drawdown stops, like deleveraging by 30% when breaching a -5% drawdown, deleveraging a ...
0
votes
0answers
9 views

How to set the mean matrix in fPortfolio package in R

I'm doing a mean-variance analysis of 5 ETF's and insted of using the sample mean i used a time series model to forecast it. I want to do a backtest of a tangency portfolio getting the weights with ...
1
vote
2answers
57 views

Market making in futures

I am learning various strategies to day trade the emini SP500 futures contract (ES) based largely around order flow principles and price action. I have been wanting to learn more about market making ...
4
votes
2answers
56 views

What does the difference between YTM of an inflation linked treasury bond and a comparable treasury bond represent?

I'm trying to understand yield to maturity of treasury bonds. For example, I have a 20 year inflation linked treasury bond which pays a inflation linked spread over a given fixed rate, and a 20 year ...
1
vote
0answers
34 views

Bayesian analysis in R: Probability of default, low default portfolios

I want to apply the knowledge of this paper (Bayesian estimation of probabilities of default for low default portfolios, by Dirk Tasche) in R, but I can't find the right bayesian package and functions ...
4
votes
1answer
68 views

A question on implied volatility surface

Let a stock price process be $(S_t)_{t\geq 0}$ and let $(K, T)\longrightarrow \sigma^*(K,T)$ be the volatility surface corresponding to vanilla options on the stock. What is, for any time $T$ the ...
1
vote
0answers
19 views

Continous-time portfolio allocation optimization for a given consumption rate

I have the following PDE $0 = V_t - c(t)V_x - \lambda^2 V_x^2/V_{xx} + rxV_x + 1/2\lambda^2x^2V_{xx}$ where $t\mapsto c(t)$ is some given function and $r,\lambda$ are given constants. If necessary, ...
6
votes
0answers
27 views

Where to get Tobin's Q by country

I am trying to rank countries based on Tobin's Q ratio. US data can be easily gathered from FED's report and is available on multiple website. I want get data on other countries with high Index of ...
1
vote
0answers
29 views

Intraday return and volatility figures some sense check

Some questions about intraday returns and volatility figures. It is with the objective of sense checking. Firstly, for Security A, I am calculating the five minute interval return numbers over 29500 ...
1
vote
0answers
15 views

Making apriori Statements on VaR Backtests with a Garch Modelled VaR

so I want to find out, if its possible to find out for any backtest for the Value at Risk(Kupics POF or Christophersen's Markov Test), if it is possible to make apriori Statements on Testing results ( ...
3
votes
2answers
198 views

Is it really possible to create a robust algorithmic trading strategy for intraday trading?

I'm an engineer doing academic research for my master thesis in the area of quantitative finance, basically the purpose is to study the possibility to create an intraday-trading algorithm. I've tried ...
5
votes
4answers
617 views

Could we have prevented the World Economic Crisis in 2008?

There is an expression - "Too big to fall." - which means that if a bank or a financial institution manages a sufficient part of the financial assets than the state can't afford that this bank or ...
1
vote
0answers
53 views

FX Statistical Arbitrage Strategy [closed]

I have had experience creating stat arb strategies for equities and etfs, but haven't dabbled much into FX trading. I was wondering if anyone knew any resources online they would suggest, or could ...
1
vote
1answer
63 views

Find the solutions of the ODE from SDE

Consider the SDE $$dS_t = rS_t dt + \sigma S_t dB_t \ \ \ \text{where} \ r \ \text{and} \ \sigma \ \text{are constants}$$ a.) Find the ODE for the function $V(x)$ such that $e^{-rt}V(S_t)$ is ...
1
vote
0answers
34 views

Find the PDE for a function that makes it a martingale

Given the SDE, find the PDE for the function $V(t,x)$ such that $V(t,S_t)$ is a martingale. $dS_t = \kappa(m - S_t)dt + \sigma\sqrt{S_t}dB_t$ where $\kappa$,$m$, and $\sigma$ are constants. ...
4
votes
2answers
95 views

Probability that realized volatility is larger than implied volatility

I did a test about quantitative finance. One of the question was : What is the probability, in the Black-Scholes world, that the realized volatility is larger the implied volatility ? And why ? ...
1
vote
2answers
32 views

EUR issuance using forwards to hedge FX risk

Trying to think about the right way to hedge a EUR denominated issuance from FX risk only. Say I have an annual pay 20-year EUR bond and I want to hedge the FX risk but take the interest rate risk. I ...
4
votes
1answer
74 views

Swaption Volatility Cube arbitrage

How can I exploit an arbitrage by violating the following no-arbitrage condition (taken from the paper "Arbitrage-Free Construction of the Swaption Cube" by Simon Johnson and Bereshad Nonas): ...
1
vote
0answers
34 views

Price compounding: Swap versus Governments Bonds

There are different rates curve to compound prices. Since the crisis, regulators tends to favor price compounding with swap curves over IR curves deduced from governments bonds (EU regulators, french ...
4
votes
2answers
97 views

How was the old VIX calculated?

Today VIX is computed based on near- and next- term options series which fall into the time period of [23, 37] days. That is what it is now, when they use SPX weekly, so they have options expiring ...
1
vote
0answers
12 views

Why use Moody's KMV EDF for one year

If I were to use Moody's KMV proprietary database with expected default frequqncies(EDF) for sectors and countries, along with aggregations for financials and non-financials, significant banks etc: ...
4
votes
1answer
69 views

Covariance of Log-Normal Variables

In Obstfeld and Rogoff (2000), formula (12) states the following: $$ W = (\frac{\phi}{\phi-1}) \frac{E\{K(L^\nu)\}}{E\{\frac{L}{P}C^{-\rho}\}} $$ where $\phi$, $\rho$ and $\nu$ are parameters, $E$ ...

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