# All Questions

192 views

### Time series (stochastic process) estimating parameters using characteristic function

I have a time series of assets ${A_1, A_2, ..., A_n}$, which is described by a sophisticated distribution having the following characteristic function: $\phi(u; t;\theta)$, where $\theta$ is a vector ...
157 views

### Arbitrage with freshly issued bonds

I recently heard someone mention an arbitrage strategy involving selling freshly issued bonds and buying the "old batch" as it has shown that the liquidity in the fresh batch motivates/drives up these ...
197 views

### Finite difference methods

I am simulating the price of a basket option with the help of equations from the report ...
53 views

### Recreate Positions after downtime. Suggestions requested

We are trying to be able to get back to the Position state when our software goes down unplanned during the day. So far it seems we can get all our bought and sold quantity based on execution log we ...
144 views

### default probability

Suppose the hazard rate is $\lambda$ the default probability density function follow exponential $f(t) = \lambda e^{-\lambda t}$ and cumulative probability function is $F(t) = 1 - e^{-\lambda t}$ ...
2k views

### How is the default probability implied from market implied CDS spreads for CVA/DVA calculation?

From point 38 on P.17 the default probability can be implied from market implied CDS spreads. "Macro Surface" method is mentioned, but I cannot get any clue of what it is? Where do I get the acedemic ...
845 views

### What are the math topics involved in FRM 1

Is there a way to get the math curriculum for FRM level 1 without purchasing the Exam? I wish to take a look at the math topics and see if I have any chance of cracking it. But I could not find an ...
381 views

### Portfolios from Sorts

Some time ago Almgren and Chriss proposed a method for portfolio optimization based on sorting criteria such as $r_1 > r_2 >... > r_N$ instead of explicit expected returns: see portfolios ...
178 views

### what is General IB2 Restriction in Basel II credit risk model

I was reading Basel II wiki page, it says: The first pillar The first pillar deals with maintenance of regulatory capital calculated for three major components of risk that a bank faces: ...
317 views

### Fitting Student t-distributions to log-returns

It seems that some tail-risk centric groups are bent on using Paretian and t-distributions to account for tail risk when fitting log-returns. It has been observed, however, that with and without ...
261 views

### Market overview trading platforms (with OTC)

I am searching for a trading platform for a client. It must include control of trading limits (per user and with regard to the clients portfolio), connection to Bloomberg data, ability to value ...
535 views

### Optimal trading strategy in toy world of simple Hidden Markov model with Gaussians

I want to solve the following optimization problem: What is the optimal general trading strategy (in the sense of the highest Sharpe ratio) on a time series which is the result of a Hidden Markov ...
209 views

### Examples of non-increasing variance of a time homogeneous Markovian process

This is an edit to the previous question, on stationary process, which was answered by Richard below. Let $x_t$ be a zero mean, time homogeneous Markovian process over time $t$ starting from ...
263 views

### Evaluation volatility with Garch model

I want to forecast the volatility (with Garch) of a canadian stock in 5 months with daily returns. How many data do I have to collect ? Thanks.
98 views

### Calculate price of index from underlyings (weightings included)?

I have a day's worth of LSE data (FTSE100 companies) and I also have their weightings for the FTSE100. Ignoring the net present value of money, how do I calculate the current value of the FTSE? I ...
88 views

50 views

### Java limitbook implementation? [duplicate]

I am looking to create my own front-end. What is the best data structure/java swing object to represent a limit order book? currently I am using two JTables and loading best bid and qty data from a ...
132 views

### Choosing a weak learner

I want to compare different error rates of different classifiers with the error rate from a weak learner (better than random guessing). So, my question is, what are a few choices for a simple, easy to ...
190 views

### Single Most Important Fact about a Fund - Interview Question [closed]

I recently attended an interview to work as a software developer in an Asset Management company. I was asked by the interviewer: What is the most important piece of information that should be ...
176 views

### When did volatilities start to smile in capital markets?

Glimpsing through literature, I read that volatilities in the equity market started to display a smile after the crash in 1987. But when did volatilities start to smile in capital markets?
378 views

### Securitization of a loan portfolio

I am interested in the securitazion process and am looking for useful examples to help me understand how it can be applied in practice. Assuming I have a loan portfolio consisting of secured* and ...
800 views

### Solvency II Assets-D1 - aggregation of line items by CIC code

The revised version of Assets D1 (now S.06.02 – List of assets under CP13) requires the following aggregations (page 24): CIC 71 (Cash), only one line per currency is to be reported; CIC 72 ...
563 views

### How to treat large (5K-10K) non-positive-definite (particularly near-singular) covariance matrices for Cholesky decomposition?

I have a very large covariance matrix (around 10000x10000) of returns, which is constructed using a sample size of 1000 for 10000 variables. My goal is to perform a (good-looking) Cholesky ...
215 views

### Estimate of fx trading volume

I understand that there are no official figures of fx trading volume per currency, but are there any good estimates? Is there any fx exchange that is particularly forthcoming with its volume data, ...
472 views

### Min VaR and Min TE as second order cone program

The quadratic optimization (min variance) $$w^{T} \Sigma w \rightarrow \text{min},$$ where $w$ is the vector of portfolio weights and $\Sigma$ is the covariance matrix of asset returns, is a well ...
405 views

### Forcing price to rise or fall by high volume buying and shorting

Is there an a name for the approach / strategy to artificially move a price either up or down by high volume buying or shorting. ie. Buying a large (say 5%) of a stock very quickly, thus ...
199 views

### What does it mean by “labor taxes cut is self-financed”?

I'm reading "Principle of Economics" by Mankiw. In Part III Market and Welfare, Ch 8 "Application: the costs of taxation", it says: Only 32% of a cut in U.S. labor taxes would be self-financed, the ...
309 views

### Given monthly returns of 10-Year Govt Bond, how to get monthly risk free rate of return

I have a list of monthly returns of a 10 year Govt Bond. I am not sure if this is a good proxy for the monthly risk free rate of return. Can somebody suggest how I can derive the monthly risk free ...
806 views

### How to use a realized kernel?

I've read that realized kernels are the thing to use for calculating daily volatility from high-frequency data. So I've got minute data, how do I actually use such a kernel? Will it give me minute-ly ...
73 views

### Problems to understand a stochastic DGL equality

currently I am reading a paper called "Portfolio optimisation under non-linear drawdown constraints in a semimartingale financial model" for self-study reasons. The paper can be found here: ...
193 views

### Quotes and Transactions Streams from Exchange

I have possibility of taking 2 types of real time streams from some exchange: bid-ask quotes (fresh quotes from order book) transaction log (transactions matched by exchange) I'm curious what ...
577 views

### How to manage evaluation date changes in QuantLib while using ImpliedTermStructure Class

I will not attach the whole code 'cause it would be just a huge waste of space and it would be not useful for this question's purpose. What I am going to attach here is a snippet code and its output, ...
272 views

### Does Matlab support exogenous variables in GARCH models?

Is it possible to introduce dummy variables or explanatory variables in the GARCH variance equation (garchset and garchfit) in ...
3k views

### open-source implementation of orderbook from FAST?

I'm looking for c/c++ implementation of OrderBook. I need implementation to reconstruct market data from FAST. I don't need to do "matching" because it already did by exchange, I only need to ...
304 views

### Which measure to determine Risk?

Say I hold an equity and I want to calculate the Value-at-Risk over some period. Would one calculate the Value-at-Risk of the equity under a risk-neutral (as in martingale) measure or under the ...
74 views

### OF-B1 report - cell A1

Pretty basic question - what is the SIGN that should be used in cell A1 of the EIOPA Solvency II OF-B1 report? So should share capital be displayed with a positive or negative value? CP-13 extract: ...
226 views

### Distinguish between market makers and other participants?

Are there any known quantitative techniques to distinguish between market makers and other participants? I manually MFT, have no knowledge of these specialties, and may be observing phenomena that ...
599 views

### Maximum Likelihood using a Kalman filter for two factor model

I'm trying to implement a Kalman Filter for the parameter estimation of a linear gaussian two factor model in Matlab. (Schwartz Smith model for commodity prices) In other words: I try to compute the ...
238 views

### Itô diffusion processes in finance with unknown distribution at a terminal value

In several papers it is argued that for many Itô diffusion processes, $$dX_t = a(t,X_t)dt+b(t,X_t)dB_t,$$ in mathematical finance the distribution of $X_T$ for fixed $T>0$ is unknown, which makes ...
765 views

### Formula for the efficient portfolios (mean-variance optimisation)?

Consider the setting of mean-variance portfolio optimisation: $n$ assets with expected returns $\overline{r}_1,...,\overline{r}_n$ and standard deviations $\sigma_1,...\sigma_n$. For a certain fixed ...
309 views

### constructing best bid/ask from NASDAQ TotalView-ITCH data

anybody know how to construct a intraday stock price from NASDAQ TotalView-ITCH data? I would need to know the price in millisecond, so I would need two rows: timestamp (for every millisecond) and ...
457 views

### Pricing credit risky bonds

How do we price credit risky bonds? If I discount the cash flows using LIBOR/zero rates, it won't take the credit riskiness into account. So should I use a rate based on the issuer's credit spread? ...
193 views

### Basics about the scaling property of volatility

It is a usual practice to calculate realized volatility $\sigma$ using the square root of the usual variance estimator $\hat{{\sigma}²}$. This is done using the stock log returns (practitioners ...
94 views

### How accurately can the LIBOR market model price a floating note

I am considering some hedging strategy where portfolios of derivatives are built so that each portfolio is equivalent to a floating note, even if the instruments in the portfolio might be quite ...
123 views

### What is the right group of durations?

It seems that the group of durations commonly used in quantitative analyse is $\mathbf{R}$ but it seems to me that $\mathbf{R_+^*}$ could also be an interesting choice. While I am not aware of ...
377 views

### How to choose a risk-neutral measure when the market is incomplete?

I am more of a probabilist than a financial mathematician. I am currently working on the features of American put options under a particular stochastic volatility model. Like most stochastic ...
349 views

### Black 76 for Options on Interest Rate Futures

This is my first time using Black76 to value options on IR futures and I have a question on $F$ and $K$. I understand the price for an IR future is usually quoted as $100 - r$. Do I use this price ...
317 views

### Shortcomings of generalized Brownian motion for asset price modelling

I'm simply interested on hearing some views on which shortcomings arise by using the (multidimensional) SDE $$dS(t)=S(t)\alpha(t,S(t))dt+S(t)\sigma(t,S(t))dW(t)$$ as a model for asset prices. I know ...
117 views

### Estimating risk aversion (power or exponential utility) from options prices

I came across this literature and it seems like there are a number of ways people do this. You can do it for an option on any underlying as long as you can create the risk-neutral p.d.f. If you agree ...

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