1
vote
0answers
113 views

Fixed Income risk attribution in the historical simulation of a sovereign bond portfolio

We use historical simulation for risk analysis. I.e. for each bond there is a repricing of the form $$ P_j = PV(\text{yield curve in scenario } j), $$ where the yield curve is the zero rates curve of ...
1
vote
1answer
109 views

Question about the stochastic differential equation in the Merton model

in the following stochastic differential equation merton model we have $$\frac{ds}{s}=(\alpha-\lambda k)dt+\sigma dW+dq$$ where $\alpha$ is the instantaneous expected return on the stock; ...
1
vote
1answer
463 views

Feature for Maching Learning(SVM) in High Frequecy Order Book?

I am trying to implement machine learning to predict the movement of bid and ask price but is unable to find the proper feature for training set. I am using Support Vector Machine for binary ...
3
votes
1answer
69 views

How can I interpret US treasury?

I try to understand US treasury in the bond markets provided by bloomberg: In this webpage, I have a few questions, for instance taking 12month-Bill: (1) What is the maturity date? I find that it ...
-2
votes
2answers
64 views

Martiglale and Brownian Motion [closed]

Stock market has been model as a random walk with a drift. Since it has a drift(bigger than zero) it is not a "Brownian Motion" but it still a Martingale? Is Stock market a Brownian Motion? Is it a ...
5
votes
0answers
99 views

Why is Weighted Least Squares necessary in fundamental factor model?

Why is Weighted Least Squares necessary in fundamental factor model while it is not in a standard Macroeconomic factor model? I understand that $\mathbb{E}[\epsilon^2_{it}]=\sigma_i^2$ varies across ...
0
votes
1answer
34 views

Transaction Costs Measure ATOP: What does it mean and exactly measure?

I went through some presentations about LowVol strategies for some indices. In the presentations were tables with average returns, vola, Sharp ratio and ATOP. I have no clue what this ATOP is supposed ...
2
votes
1answer
95 views

Law of large numbers necessary for APT derivation?

The question refers to the well-known Ross (1976) paper with the derivation of the Asset Pricing Theory. In the APT, the return of asset $i$ is driven by a linear factor model: $$ R_i = \alpha_i + ...
0
votes
0answers
167 views

Black-Litterman with simple portfolio

In an attempt to learn Black-Litterman I have come across this "simple" example. Suppose that you analyze market data using CAPM $$r_i-r_f=\beta_i(r_m-r_f)+\epsilon_i$$ Suppose there are 2 assets in ...
2
votes
2answers
196 views

swaption model for forward swap rate

I have another question about interest rates. In this case it is about swaption and how to come up with a pricing formula. For the rest of my question I use the notation from Brigo. The payoff of a ...
0
votes
1answer
102 views

How can we write swap as a chain of FRA's

For the rest of my question I use the notation from Brigo. The discounted payoff of a receiver interest rate swap (RFS) at $t<T_{\alpha}$, where $T_{\alpha}$ is the first resetting date, is given ...
2
votes
1answer
44 views

Which anomalies are easy to replicate in an event study?

In order to examine different approaches to event studies, I am looking for a market anomaly which is simple to replicate in an event study for demonstration purposes. For example, ...
3
votes
0answers
46 views

How do I specify Thirty360::European day counter in RQuantLib

I am taking liberty to ask the following question in quantLib forum though this question is about RQuantLib I am trying to use RQuantLib to calculate clean price of a fixed coupon bond using a ...
2
votes
1answer
171 views

Comparing the return of different roll strategies

I am interested in calculating the effect of the roll return using different roll strategies. In specific I want to mimic a long-only futures investments. I have historical data for several ...
6
votes
1answer
299 views

Do you have a validation set for Libor Market Model implementation?

I'm trying to calibrate a Libor Market Model (LMM) in Matlab with my user-defined function, not their package. I already fitted the market volatilities using SABR but failed to simulate the ...
2
votes
0answers
143 views

Are there any software libraries for backtesting FX algorithms against tick data?

I've read question, however it doesn't appear as if any of those libraries work for FX data. A Google search for python forex backtesting turns up this project, ...
0
votes
1answer
114 views

Historical Data - Free Sources in 2015? [duplicate]

I've found some free sources for stock historical data but none that aren't broken links or give me quite what I need. I want... For NASDAQ, S&P 500, DJIA: Historical data for the past 5 years ...
2
votes
1answer
212 views

Why Markov Functional Models (Hunt 2000) are not yet so popular?

I refer to MFM introduced by Hunt [2000]. These models can be seen a subset of interest rate market models. MFM allow us to describe the term structure elements using a set a functions of a ...
1
vote
0answers
46 views

Should I use a correlation coefficient formula or a multiple regression formula?

I have an assignment dealing with the stock market and I'm a little lost. My instructions are to come up a method to create a score for a stock then compare the score against what the stock actually ...
5
votes
1answer
135 views

Term structure of default probabilities without market data

With the forthcoming new regulations, IFRS9, financial institutions will be required to model life time expected credit losses. Consequently, it is necessary to model the term structure of default ...
1
vote
2answers
396 views

Why is the price of a call option with $K=0$ equal to the price of the stock $S_0$?

In a case of a call option with strike $K=0$, then payoff at expiration time $T$ is equal to: $$(S_T-0,0)^{+}=S_T$$ In reality the price of the option on the date of maturity is never equal to the ...
4
votes
1answer
402 views

API for after and pre market data

Is there an API or APIs similar to the Yahoo! or Quandl APIs, that give the same access to pre and after market data? I know I can scrape the Nasdaq or Yahoo! Finance sites to get a pre/after market ...
2
votes
1answer
226 views

Some questions about implied volatilities and how to generate theoretical prices when market prices are not available

I am building a little Excel file that take some option prices in input and plots the volatility smile/surface. I have a script that reads market prices from the option chain for 3 different ...
1
vote
1answer
90 views

What does NPV ASSENTED after stock name mean?

For a project, I have to quantitatively implement a strategy for value investing in EURO STOXX 50. I pulled the data from Datastream. When I was checking some data plots for dividend yields and total ...
2
votes
1answer
93 views

Price an option whose strike price is always lower than the future price of the security

Suppose it is known that the price of a certain security after one period will be one of the $m$ values $s_1,\ldots,s_m$. What should be the cost of an option to purchase the security at time $1$ for ...
2
votes
1answer
327 views

Commonly used vol surface calibration model in the industry

I have 2 questions: What is the most commonly used equity option pricing model? I learned jump diffusion at school, read about Hensen and a few other models online. I am actually only calibrating ...
0
votes
1answer
836 views

Gamma and delta P&L example question

I'm trying to get a basic understanding of this example delta ladder ...
5
votes
1answer
113 views

Market price of volatility risk

Reading Gatheral's The volatility surface, page 7. The model they are talking about is ...
-1
votes
1answer
183 views

Equall Risk Contribution and The Most Diversified Portfolio [closed]

I am a master degree student on applied economics at Brazil and my thesis will be about smart beta strategies. I pretend to apply Equal Weigth, Mininum Variance, Most Diversified Portfolio and Equal ...
6
votes
2answers
645 views

Black-Scholes formula with deterministic discrete dividend (Musiela approach)

For deterministic discrete dividend, there are two approach Musiela approach, works when every dividend are paid at maturity of the option. Hull approach, works when every dividend are paid ...
2
votes
2answers
228 views

Using Financial Ratios to get credit rating or PD

Hello I'm looking for papers, aside from ones that use CDS spreads, about credit rating development or estimating default probability based on financial ratios that also include methodology and maybe ...
3
votes
1answer
170 views

Continuity of Black-Scholes formula

How to proof B&S pricing formula is continuous in time $t$ (or it is not?). The general pricing formula is $$ C_t = e^{-r(T-t)} \mathbb{E}^*[(S_T-K)^+ | \mathcal{F}_t] \hspace{1cm} 0\leq t\leq T ...
1
vote
0answers
185 views

How to calculate Probability of Default from Survival Probability

I would calculate Probability of Default from Survival Probability. I want to know how they are related. This is how I think they are related: ...
1
vote
2answers
171 views

Feature Selection Effect on Deep Multi-Layer-Perceptron for Financial Applications

I am trying to build a machine learning system for financial price prediction. I am using a 3 layer MLP (a deep network) with 3 outputs (buy,hold,sell). I am using different features such as price ...
1
vote
1answer
221 views

Chart Correlation warnings

when I run chart.Correlation I get a series of warnings. I get the identical warnings with chart.Correlation(managers[,1:2],method="pearson") Here is a short sample: ...
1
vote
1answer
57 views

Risk free rate for Performance Analytics

In [R] one can pass either a vector or scalar as the risk free rate. What is better? If I pass a vector to (for example) chart.riskreturnscatter then the sharpe ratio lines disappear. ...
0
votes
1answer
596 views

Principal Component Analysis and Yield Curves

I've been tasked with researching trading strategies relating PCA to trading fixed income futures instruments. Apparently PCA is frequently used in this area. I'm just looking for some references for ...
2
votes
1answer
166 views

CIR model: is the short rate really non-central $\chi^2$ distributed?

Probably simple question. Consider the CIR (1985) model for interest rates $$ dr = k(\theta - r)dt + \sigma \sqrt{r}dz $$ Then it is known in closed form the conditional pdf $f(r(s),s|r(t),t)$ ($s ...
0
votes
3answers
300 views

Research methodology of systematic strategies

Can someone please share your research methodology of systematic trading strategies? I feel like I am always using the a same data driven procedures over different underlyings and would like to get ...
1
vote
1answer
732 views

Black Scholes formula with continuous dividend paying stock

I am reading the part of constructing B&S price for stock paying dividends. The simplest model used continuous yield dividend. But I can not see that rigorous in term of formulations. Firstly, ...
1
vote
0answers
318 views

Cointegration Test: Residual is stationary but not random?

I am testing cointegration relationship on various pairs of stocks by this following these steps. Test for I(1) on a pair of stocks, says X and Y, using Dickey-Fuller test. If both time series are ...
0
votes
3answers
310 views

Parametric/Analytical VaR

Suppose I want to calculate VaR for a known distribution with mean $\mu$, variance $\sigma^2$ and $\alpha$-quantile as, $VaR_{\alpha}$ = $\mu + \sigma q_{\alpha}$. For a Gaussian distribution it is ...
0
votes
1answer
251 views

Gamma is always positive on both put and call

I recently met the claim that for standard put and calls the gamma of the options are always positive. Is this a general result? I am hoping not to assume any model, especially not Black-Scholes.
0
votes
2answers
158 views

Investment: Bond vs Equity

I was talking to a friend recently and he asked me the following question. If I have a device which perfectly (with 100% accuracy) predicts that both a bond (e.g. AAA rated government bond) and the ...
1
vote
1answer
187 views

Can a null be inconclusive? [closed]

My Null for the T-test is h0: -tcritical < Tstat < +tcritical I require confidence level of 95%. If my empirical result satisfies the null, but not my p-value requirements, does this mean ...
1
vote
2answers
2k views

Bloomberg Libor Rates

I load swap rates data from Bloomberg in excel using the command =BDH(Ticker,"Px Last",Start_Date,End_Date,"Dts",FALSE) The tickers I use are "USSW1 Curncy", ...
1
vote
0answers
70 views

Value of an option to exchange an asset for another

I'm working out the examples in the paper "Changes of Numeraire, Changes of Probability Measure and Option Pricing", corollary 3. An option of exchanging asset 2 against asset 1 at time T, its time-0 ...
2
votes
3answers
252 views

Ran multivariate linear regression, checked normal probability plot, residuals are not normal. What can I do?

One of the required assumptions for multiple linear regression is that residuals are normally distributed, correct? After running my regression, my normal probability plot is showing the typical ...
3
votes
0answers
446 views

Portfolio Optimization with Monte Carlo Simulation - How to do it with Excel?

If I have three asset classes and their historical weekly returns for five years, how can I construct a minimum variance portfolio and an efficient frontier plot with Excel? To do that do I have to ...
3
votes
2answers
325 views

How can an inverted yield curve in a liquid market exist?

Take a liquid market like US T-bills, notes and bonds... Who would want a long-term security that yielded less than the short? Even if someone is a long-term lender, why wouldn't they hold the ...

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