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3
votes
1answer
234 views

Integration of stochastic total derivative

Super basic question. I think I am doing this correctly, but just want a sanity check. Say I have a stochastic process $r(t)$. Say I have an equation $$d(e^{\beta (t-s)}r(s))=\dots$$ where the $...
1
vote
0answers
123 views

Does it make sense to apply complicated mathematics to calculate with precision when the margin of error is +/-10%? [closed]

This is more of a philosophical question than general question. Quantitative finance applies highly complicated mathematics and has attracted very smart people to this field lately given the high pay ...
6
votes
1answer
1k views

Pricing Fixed-To-Floater bond in QuantLib

Wandering through QuantLib's Financial instruments documentation, I noticed no class for fixed-to-floater bonds exist. Then I was wondering what a suitable way to price such an instrument would be ...
0
votes
1answer
1k views

backtesting with open, close, high and low

I am quite notice at the business of backtesting for an automated strategy. I was wondering, can I/should I use High and Low for this purpose? On one hand, the algorithm will see these prices, but on ...
2
votes
1answer
368 views

interest rate in cost of carry

What interest rates are used in practice in a stock index / futures arbitrage? I've seen cases, when the assumed rate is 3 months LIBOR, but does it mean, that everyone who does the arbitrage can ...
23
votes
3answers
3k views

When do Finite Element method provide considerable advantage over Finite Differences for option pricing?

I'm looking for concrete examples where a Finite Element method (FEM) provides a considerable advantages (e.g. in convergence rate, accuracy, stability, etc.) over the Finite Difference method (FDM) ...
0
votes
1answer
403 views

adjusted close prices on SP500

When I look at the adjusted close prices of SP500, for example, I notice that the numbers are always significantly below the actual closing. In the explanation of what adjusted prices are, one gets ...
4
votes
1answer
428 views

Can option prices be characterised by an ODE?

If a stock price, $S(t)$, is governed by a geometric brownian motion. Is it possible to characterise the value of an option $V(S,t)$ as an ODE rather than a PDE (given $S$ is itself a function of $t$)?...
1
vote
1answer
1k views

How to derive zero-coupon rates from IRS?

How can I calculate zero-coupon rates from historical IR swap rates? I have a record of IRS for the past 4000 days and I am want to compute the zero coupon rates based on them.
3
votes
1answer
1k views

Additive portfolio risk decomposition

In his paper Budgeting and Monitoring the Risk of Defined Benefit Pension Funds, Bill Sharpe writes: [...] the sum of the weighted marginal risks of the portfolio components will equal twice the ...
0
votes
1answer
454 views

Asynchronous Data Across Time Zones - RiskMetrics

I'm currently involved with a project to integrate RiskMetrics into our business and one issue we've identified is the treatment of market data timing across time zones. This can have the effect of ...
3
votes
0answers
236 views

Forecasting Equity returns using state-space models

I have data for 3 yrs of 5 min prices of various equities. I can construct a linear regression model and try to see the in-sample model performance. But I was wondering whether fitting a state-space ...
2
votes
2answers
146 views

how to make a distribution model tolerable of trend?

I'm building an model on different loans' NPL rate. The problem is NPL rates are always affected by the market. When NPL rates move in trend, my model will fail the back-testing. Assuming $x(t)$ is a ...
1
vote
0answers
94 views

Adjusted option prices?

I am trying to calculate IV of options for a ticker over the last 10 years. Problem is that some option prices don't make sense (for example, closing price \$31.94, but 30-day call option with 18 days ...
0
votes
2answers
369 views

Stat Arb Equity Pair Position Trigger

I am new to pairs trading and am in the process of constructing the code for backtesting a basic pair trading strategy. While I understand the basic idea behind the pair trading strategy, I am having ...
2
votes
1answer
1k views

Monte Carlo Options Probability Calculation

I have a fairly simple problem for an application I am writing currently. How do you calculate the options probability of being in the money or touching a certain strike price. I know there are at ...
3
votes
1answer
783 views

What is the correct Stutzer index and Sharpe ratio relation, assuming a normal returns distribution?

Assuming the returns distribution is normal, then there is a relation between Stutzer index and Sharpe ratio. However, I found in the following paper 2 different equation: Paper I (page 10-11)‎ ...
3
votes
1answer
245 views

Binomial lattice convergence

How do I measure how quickly a binomial lattice converges to an option value as the number of steps is increased? I'm charting option value versus number of steps for various binomial lattice models ...
4
votes
2answers
408 views

Basic question about bonds pricing

I decided to recap my knowledge in interest rates, and decided to start with Chapter 4 on interest rates (in 8th edition) of the Hull's book "Options, Futures and Other derivatives". In 4.3 the ...
-1
votes
1answer
262 views

Can Beneish's model for detecting earnings manipulation be applied to companies in the UK?

As I understand it this model derived from data for US companies. Is it valid to apply the model as is to UK companies or does it require any modifications? Description of the model: http://www....
2
votes
0answers
578 views

Pricing options and bid-ask spread

Consider a non-liquid option market with a wide bid-ask spreads across all strikes. Spot: \$52 A snapshot of the \$50 strike shows: ...
10
votes
0answers
269 views

Survey of market making strategies and research [duplicate]

I am undergoing a focused study of market making theory. So far, I've encountered the following papers: Market Making and Mean Reversion Adapting to a Market Shock: Optimal Sequential Market-Making ...
7
votes
1answer
743 views

Why is the Put-Call Symmetry model dependent?

The put-call symmetry states that C(S,t;X,r,q) = P(X,t;S,q,r), and that this works for American options. According to my notes, this is 'model dependent' because it ...
1
vote
1answer
277 views

Calculating spot level using tick data

What is a proper (or commonly used/accepted) way of calculating some spot value with tick data? At the moment I can think of two options: Take the latest available best bid, latest available best ask ...
4
votes
1answer
555 views

In Mean-Variance Analysis, why not the efficient frontier being pushed to the left near the axis?

I took some classes in portfolio theory, and learnt the Markowitz Mean-Variance Analysis. If only two risky assets, the efficient frontier would be a hyperbola passing through the two points; now if ...
1
vote
0answers
349 views

Market Standard Pricing Models for Fixed Income Securities (Vanilla)

To clarify my heading, I have been searching for a material that consolidates all standard Fixed Income Security Pricing. E.g. ...
7
votes
2answers
2k views

Average correlation of index/portfolio

We try to analyze the average correlation of a portfolio as it can be found here in section 2 b), the same formula which is also used by the CBOE to calculate implied correlations: $$ \rho_{av(2)} = ...
2
votes
0answers
84 views

Calculating the error of a Trinomial Model

I've been trying to find a formula to obtain the maximum relative error a trinomial model with n timesteps will incur given all other inputs as compared to the standard BSM model. I'm concerned mostly ...
2
votes
1answer
1k 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 (...
1
vote
1answer
594 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 ...
4
votes
0answers
603 views

Is this methodology to calculate Alpha using multi-factor regression model correct?

I am trying to find out Historical Alphas of a bunch of fund returns ${F_i}$ by Using Regression Model$(stepwise)$ with regressors as its underlying exposure-returns(risk-free rate subtracted) i.e. $$...
2
votes
2answers
1k views

Index arbitrage with Options when not all underlyings have options listed?

One arbitrage strategy involves looking at the price of the Index Futures price compared with the prices of the options contracts for the underlyings. My question is, can this arbitrage strategy ...
-1
votes
1answer
1k views

Calculating arbitrage- S&P 500 stocks vs S&P 500 Index future?

How exactly would I go about investigating whether the S&P 500 stocks were currently over-valued compared with the price of the S&P 500 Index futures contract? Is it just a case of taking each ...
3
votes
0answers
212 views

Pre-Trade Slippage Costs For Option Spread Execution

Is there a quant model that can help estimate how much slippage one would have to give up in order to get an "option spread" (vertical, butterflies, etc.) order executed? What factors should one look ...
0
votes
0answers
88 views

Input for unanticipated risk premium estimation

In the paper "Economic Forces and the Stock Market" by Chen, Roll and Ross, unanticipated risk premium (URP) is tested as a potential risk factor for stock returns. This factor is commonly calculated ...
1
vote
0answers
117 views

How to show that the risk contribution function is or is not injective?

Assume a portoflio $w \in \mathbb{R}^n$, you can get the total risk contribution $\psi_i$ of asset $i$ by doing: $$\psi_i = w_i \frac{\partial \sigma(w)}{\partial w_i}= \frac{1}{\sigma(w)} \left[ w_i^...
2
votes
0answers
90 views

How to choose a window for curve fitting and prediction?

I am using Pareto distribution to fit a serie of survival rates (with least square). My ultimate goal is to use this fitting curve for prediction. Thus I would mainly focus on the tail of the ...
1
vote
0answers
1k views

Long/Short portfolio return

Suppose I have a Po with one long, one short positions and some cash (to balance the short + 50% margin) as shown below: ...
9
votes
1answer
5k views

What is exactly Euler's decomposition?

I have often seen the following statement in different paper: As $\sigma$ is homogeneous and of degree 1, we use Euler decomposition and write $\sigma(x)=\sum_{i=1}^n x_i \frac{\partial \sigma(x)}{\...
7
votes
3answers
26k views

Trade matching versus affirmation

I'm looking for a clearly articulated description of the difference between trade matching (e.g. Omgeo's CTM) and trade affirmation (e.g. Omgeo's Oasys). From what I understand, they both involve ...
3
votes
1answer
205 views

Deutsche Börse sample Level 2 data, how to view in Windows?

DB has some sample Level 2 market data: http://deutsche-boerse.com/mda/dispatch/en/listcontent/gdb_navigation/mda/200_market_data/650_historical_market_data/35_enbs_hist_data_xetra/...
1
vote
1answer
801 views

Where does CME store Security IDs for FIX messages?

Where does CME store Security IDs for FIX messages? I cannot find them anywhere? So given Security ID XX I can go and work out what product this actually is?
4
votes
2answers
6k views

How can you convert the CUSIP of a bond issue to the CUSIP of the company's stock/

As part of a research project I ran a query on the Mergent FISD database using the WRDS website. The output included the CUSIPs of numerous bond issues (>10000). I am using this data to run event ...
4
votes
1answer
2k views

How to price a bond at specified dates in QuantLib

I am wondering what's the most efficient way (i.e. the method which involves the fewest arguments) to price a bond at a specified date, e.g. a future date (as instance, 6 months from now) in QuantLib. ...
1
vote
2answers
308 views

For a interdays trading backtest system, should I put day open, close, high, low, volume separately into array?

I think there are two possible ways: 1. day open, close, high, low, volume separately into array, then I have 5 arrays to work with my calculation 2. Put all of these into one array or linklist to do ...
3
votes
2answers
1k views

ETF Negative Roll Yield

I have a quick question about the ETF Roll Yield. As we all know commodity ETF’s have struggled with contango (spot price is below futures prices on the term structure). Look at an ETF like USO which ...
3
votes
0answers
671 views

Test for stationarity and make use of non-stationary points in financial market?

I have two questions to ask: What are the best methods to determine stationarity in a financial market (such as stocks) using MATLAB? What methods would you recommend to use in order to change from ...
10
votes
2answers
8k views

Using variance ratios to test for mean reversion

Can you use the variance ratio test to determine whether or not a time series is mean reverting? I'm using the Lo.Mac function in the ...
3
votes
3answers
587 views

Why do long-term equity return forecast models use dependent observations?

I've been reading up on different models used to forecast the equity risk premium, and I've seen a couple of papers that had questionable methods. For example, this paper by Javier Estrada goes into ...
3
votes
0answers
211 views

Should I use Resampling or Expectation Maximization to compute a robust covariance matrix?

I have several assets, each with different return histories. Some of the assets have 75 days of return history, others have 40 or so days. In calculating a robust covariance matrix, should I be using ...

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