2
votes
1answer
27 views

Mathematical Derivation of Residual Risk

I understand the difference between Excess, Residual and Active Returns. I also understand what Active Risk; defined as: $\sigma_{r_P-r_B}$ (i.e. standard deviation of the difference in returns ...
0
votes
1answer
19 views

Volatility for time periods with little data

When I want the monthly volatility of stock and I only have data for about one month and I do calculation like this: ...
0
votes
2answers
36 views

NPV of two annuities

For exam preparation we are given some past papers, however there are no solutions and I would like to know if my logic is correct for the following question: Assume you are 25 years old. An ...
0
votes
0answers
10 views

Problem with determining weights in tangency portfolio (2 risky assets)

I use the following well known formula in order to determine the weight of asset i in the tangency portfolio (in the case of two risky assets): ...
3
votes
3answers
66 views

What is the rationale behind using SV models with 2 distinct volatility processes?

In the Double Heston model, there are 2 distinct volatility processes. The SDEs read \begin{align} & ...
0
votes
0answers
9 views

How do I build a cross currency basis swap pricer using implied levels generated from fx forwards?

I'm building a strategy where I would take positions depending on whether the basis swap looks rich or cheap relative to the forwards, inside 1yr maturity. Depending on liquidity the market in ...
1
vote
0answers
17 views

How to apply Kelly criterion to a portfolio made by a stock plus a option?

First of all, assuming a Gaussian, Markowitz, well behaved world. Extensions for non-well behaved world will be welcomed. I know that by a portfolio made by only by one stock (and a risk free bond) I ...
0
votes
2answers
50 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 ...
0
votes
0answers
18 views

Yahoo Finance data scraper [duplicate]

I am building a small financial web application and I need a data source for price (Adj. Close) and volume data. I have written a scraper to scrape equity data for yahoo finance and can pass this to ...
2
votes
0answers
14 views

Polynomial interpolation of corrected lognormal distribution

Can anyone provide a formula for a polynomial interpolation of the corrected lognormal distribution used to model returns traditionally resulting from the wrong Brownian motion generated model? ...
1
vote
1answer
35 views

Calculating the global minimum variance portfolio in R?

I am attempting to use the globalMin.portfolio command to calculate the global minimum variance portfolio in RStudio. My code is as follows (note that several libraries have been included which may ...
1
vote
1answer
19 views

How to compute the yield on the Ultra-Bond Treasury Futures

I am trying to compute the yield on the Ultra-Bond Treasury Futures which is roughly 172.2187. Heres the description of the contract: U.S. Treasury bonds with remaining term to maturity of not ...
1
vote
0answers
26 views

Minimum Variance Portfolio problem [on hold]

Minimum Variance Portfolio Suppose there are N stocks in the investmentable universe and we have a fully invested portfolio investing 100% of the capital. The Covariance matrix is denoted as ∑. We ...
2
votes
1answer
33 views

Copulas and default probability

Assume a basket of 3 credits, each with some unconditional default probability ${q_i}(t) = \Pr [{\tau _i} \le t]$. Consider the joint CDF $H$ of the default times is given by $H(t,t,t) = \Pr [{\tau ...
0
votes
0answers
18 views

Estimating time-varying tail dependence for Archimedean copulas

Patton (2006) defines the upper tail dependence coefficient for a time-varying bivariate SJC copula as $$\tau^u_t=\Lambda \left(\omega_u + \beta_u \tau^u_{t-1}+\alpha_u ...
0
votes
1answer
41 views

Portfolio with a certain pay-off curve

I would like to find a relevant optimization option's portfolio models which can describe a certain pay-off curve (objective function) under same assumptions. For example, assumptions on how to limit ...
0
votes
1answer
29 views

Beta = 1 and 0. Type of portfolios

I read in E. Quian's "Quantitative Equitity Portoflio Management" the following: A traditional long-only portfolio [with unit beta] would have most of its risk in the market risk. However, a zero ...
0
votes
0answers
25 views

Selection of optimal backtesting parameters

Suppose I backtest some strategy on in-sample data while varying two parameters, say $X$ and $Y$. $X$ can take the values $\{3,6,9,12,15,18\}$ while $Y$ can take $\{10,15,20,25,30\}$. I want to select ...
3
votes
1answer
68 views

Could someone teach me how to construct the portfolios by compute (like using R, Excel or Eviews)

Recently, I am doing my dissertation that covers asset pricing theory. The empirical test of Fama 3 factors model is an important part of this dissertation. Please let me review the fama model. Fama ...
0
votes
0answers
28 views

Which is better for quantitative finance, a computer science PhD or an applied mathematics PhD? [on hold]

In the world of quantitative finance which of the following would be more highly regarded or useful when it comes to applying for jobs: A computer science PhD focused on machine learning used to ...
3
votes
2answers
66 views

Using R with princomp to create hedge baskets

I am experimenting to try to find better ways to hedge some of our equity portfolios. It's easy enough to use R to get a PCA breakdown of exposure for a portfolio but I can't figure out how to then ...
5
votes
1answer
38 views

Who pays for sovereign ratings?

Does the "issuer-pay" model hold also for sovereign credit ratings? Do States pay for having their bond being rated?
0
votes
1answer
27 views

Time series of European sovereign credit ratings by the Big Three?

I would need time series, from 2000 to 2015 (if possible) of sovereign credit ratings by Moody's, S&P and Fitch. Could you suggest me a source or provide me such a dataset? Thank you very much!
4
votes
1answer
28 views

What approaches are there for keeping local and remote order books in sync?

Scenario: developing a custom application which defines a structured workflow for manual order submission to Bloomberg EMSX; it should minimize own persisted state and rely on the remote order book as ...
1
vote
2answers
28 views

How to take care of newly auctioned yield/price in fixed income data

This is a financial data cleaning question. I have raw price and yield data for US cash treasury across the curve. In the time-series there are jumps on the day after the treasury auction results come ...
0
votes
1answer
36 views

Special term for 'intersection' of option price

Suppose, I have written two ordered lists: $S_{call}= (\textbf{8000, 8050, 8100}, 8150, 8200, 8250)$ and $S_{put} = (7850, 7900, 7950, \textbf{8000, 8050, 8100})$. Entities are correspond to strike ...
0
votes
0answers
18 views

Interest rates - Swaptions implied volatility - Volatility anchoring with Black and with normal volatilities

In a LMM+ with displacement factor a volatility anchoring technique is used, i.e. a long term volatility assumptions is applied, derived from historic time series. Should I adjust this historic ...
0
votes
2answers
35 views

In an example of “call options”

The following is an excerpt from Introduction to the Mathematics of Finance by Roman: As a more concrete example, suppose that IBM is selling for $\$100$ per share at this moment. A $3$ month ...
0
votes
0answers
42 views

Cointegration for forex using ARMA model to forecast the spread

I am working on an automatized quantitative strategy that use cointegration in Forex. I am backtesting this strategy in Python. Please see below the python file: ...
0
votes
2answers
52 views

Conditional probability of geometric brownian motion

I created paths using GBM to implement The stochastic mesh method. But the method requires the conditional distribution, given some S(t) the probability of S(t+1). I've searched and can't find this ...
1
vote
1answer
81 views

Modeling the Stock Market [on hold]

Hi I was wondering what is the model that best describes the price movement of the stock market? A Brownian motion Process with drift? An Ornstein Uhlenbeck_process? (where the long term mean ...
0
votes
0answers
19 views

How to perform batch-trading using Interactive Broker API?

My definition of batch-trading: Given $N$ BUY orders, $M$ SELL orders and $O$ ($O < N$) as the max number of open positions to be held. Batch-trading should monitor the orders and when $O$ BUY ...
0
votes
0answers
26 views

Is it possible to place hidden order inside spread when trading E-mini S&P 500?

My question is not about hidden orders in general. In equity market a trader can post his hidden order inside spread, is it the same way for E-mini S&P 500?
-1
votes
0answers
14 views

Regression model extension [on hold]

I've been asked to do out of sample procedure for my simple regression model. my dependent data is belong to 2500 index nad independent one is belong to 2500 stock log returned data. how should i ...
1
vote
0answers
22 views

“Risk” Factor vs Double Sorts

With regards to a cross-sectional asset pricing (stocks) study, I am testing if one variable can explain another. One common approach to do this, is to use the double-sorting portfolio technique (sort ...
0
votes
0answers
34 views

How to write time-varying functions in R? Applied example

Let's say I want to use a Gaussian copula $$C_{R_t}(\eta_1, ..., \eta_n) = N_{R_t}(N^{-1}(\eta_1), ...,N^{-1}(\eta_n))$$ with a time-varying correlation matrix $R_t$. Through DCC we model the ...
1
vote
1answer
46 views

How to build a cross currency swap pricer?

We're looking to build a pricer to convert a funding spread in a given currency over a specific funding basis e.g. 20 bps EUR 3m€ and convert it to a funding spread to a different currency with a ...
0
votes
0answers
19 views

Python regenerating ARMA params using statsmodels

I am trying to regenerate the ARMA parameters from statsmodel in python. The code I am using is: ...
0
votes
0answers
12 views

Define the order of GARCH(m.s)

I know that if the order of Arch(m) is over 3, we should use GARCH and GARCH(1,1) was proved to be the best. But was GARCH(1,1) proved to be available for any country's stock market? My result show ...
0
votes
0answers
19 views

Converting a factor vector in R [on hold]

If I have a factor vector with 3 levels, "", "No" and "Yes" how can I convert this to a binary factor vector with "na" if no answer , 1 for "Yes" and 0 for "No" ?
0
votes
2answers
74 views

How is the fundamental theorem of asset pricing used?

I know that a multi-period market model is complete and arbitrage free if there's a unique equivalent martingale measure. The thing is, I have absolutely no clue how to apply this theorem to a simple ...
0
votes
1answer
30 views

Python statsmodel ARMA question

I am reading through the documentation of statsmodel package in python from the link The (p,q) order of the model for the number of AR parameters, differences, and MA parameters to use. How do I ...
0
votes
1answer
10 views

anyone know haw would we calculate hml ,(fama and french three factors model) [closed]

how we calculate hml and smb from our own data (malaysian data) so i can not use the dta from keneth french library using excel and when we divide firms into 6 portfolios we use value and book ratio ...
1
vote
0answers
28 views

$0$-beta stock and diversification

If we invest $w$ in the market portfolio and $1 - w$ in the risk-free asset, and observe a $0$-beta asset with expected return greater than the return on the risk-free asset, how can this be used in ...
0
votes
0answers
15 views

R:log return calculation for panel data structure

I have a long form panel for hourly prices of stocks. I want to do log return calculation for this panel data structure. Below is my code: ...
6
votes
2answers
375 views

How to derive the price of a square-or-nothing call option?

At maturity $T$, the holder of a "square-or-nothing" call option written on an underlying $S_t$ receives a payoff of the form $$ \phi(S_T) = \frac{S_T^2}{K} \pmb{1}_{\{S_T \geq K\}} = ...
0
votes
2answers
29 views

What is a definition of “Benchmark”?

The word "benchmark" is often used in Finance, but in a rather fuzzy manner, there for a rough idea of what it is, and how it is 'defined'. Can someone provide a rigorous and precise definition of ...
0
votes
0answers
44 views

Physical interpretation of variance in returns in a portfolio design

I have a downloaded the log-returns at successive times of 98 stocks from S&P index over 753 days. I calculated the total daily return according to the formula 1 below, where ...
3
votes
1answer
72 views

Is This A Viable Alternative Options Pricing Method?

i'm currently a high school student who hasn't gone past Algebra II, and thus I have minimal Calculus knowledge. I know the basics of Integration and Derivation (drop the coefficient, raise to the ...
0
votes
1answer
14 views

Reference for option pricing, binomial multi-period model using martingales and conditional expectations

The title basically says it all. I am looking for a reference text on the pricing of options in a binomial multi-period model. It should be mathemathically rigorous using martingales and conditional ...

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