1
vote
1answer
96 views

Pricing a piece of asset whose dividend stream following a Markovian matrix

I'm trying to calculate the result of an simple example on page 326-327, in Harrison and Kreps(1978). It's pricing a piece of asset whose dividend stream is a simple Markovian process. Here's my ...
4
votes
2answers
115 views

Critique against consumption-based asset pricing theory?

I find asset pricing theory very vague and full of assumptions, especially the consumption-based modern theory. In its essence, the theory states that asset prices depend on the covariance between ...
2
votes
1answer
117 views

Econometrics - Testing

If we have a time series of returns and two time series of indicators, how would we test the use of these indicators if they are autocorrelated or nonstationary (VAR Models dont produce significant ...
2
votes
0answers
44 views

Econometrics - Granger Causality

Suppose we have two time series, if one has autocorrelations and the other is non stationary how do we test whether they Granger cause a returns series?
1
vote
1answer
143 views

Volatility tools / web sites?

Could someone give recommendations regarding volatility tools / web sites that they find useful? I am looking for information that my brokerage platform does not provide. Specifically, I want to see ...
1
vote
2answers
2k views

Optimal lag length selection criterion in GARCH(p,q) model using MATLAB

As assessed by the title, I'm trying to estimate a GARCH(p,q) model to forecast stock market volatility and, in order to be able to do that, I've to identify the optimal number of lags, p and q, to ...
4
votes
1answer
468 views

Optimal Executions for Minimizing Slippage

There has been a considerable body of work for finding trading strategies that minimize the slippage wrt arrival price. For instance, the following are on of the most well known papers: [1] Robert ...
2
votes
1answer
270 views

Call option on a Mutual Fund

I am trying to price a call option on a mutual fund. Given the lack of market implied data, I am going to estimate the fund´s expected volatility using as a reference its historical volatility ...
0
votes
3answers
83 views

Standard way to represent trend in an a-dimensional way [closed]

Let us suppose that a factory needs to know when certain products are increasing the profit. This factory produces an huge number of products each with different targets. So the factory need to ...
2
votes
2answers
407 views

Why does it “say” portfolio diversification not suitable during market turmoil?

Currently I am trying to get a hold of MPT, asset allocation and related applications. While reading a particular resource, it says diversification works best for "normal" financial markets and ...
3
votes
0answers
61 views

Is there evidence that illiquid stocks, held less by institutions, have more price momentum?

(One of) the standard explanation people gave for momentum is under-reaction of stockholders to firm-specific news. If this is true, then it seems that these stocks should have more momentum, and ...
7
votes
2answers
282 views

Looking for a pricing library supporting Mutli-curve Framework

I am looking for a builder of Yield curves by tenors (O/N, 1M, 3M, 6M, 12M) respect to a given discount curve based on multi-curve framework as described below : Interest-rate Modelling with Multiple ...
1
vote
0answers
227 views

What is the algorithm for the Fama-Bliss instrument selection?

Fama-Bliss discount bonds are defined through a straight forward calculation (Famma, Bliss 1987). For the purposes of a project I need to derive forward rates, yields &c. for periods not included ...
2
votes
1answer
212 views

How to perform significance test on transition matrices

Say you have in your hand a transition matrix published by Moody, and you also collected the rating information for a sample of bonds, which you use to form your own transition matrix. How can we use ...
2
votes
1answer
600 views

Implied probability density (Question 2 - Applications and Interpretation)

Using the second derivative of the Call-Option-Price one can try to recover the pricing density. Formally: Assuming a constant interst rate $r$ and also not making any assumptions on the model ...
8
votes
0answers
119 views

2-state HMM / ARMA process?

I have issues with this problem: Let $\{X_t, t\in \Bbb N\}$ be a 2-state stationary Markov chain, with transition $M$ (and $M(1,2)\neq 0 \neq M(2,1)$), let $\{W_t, t\in \Bbb N\}$ be a strong Gaussian ...
2
votes
1answer
140 views

Tracking delistings on NASDAQ & NYSE

Does anyone know of a webpage (or webpages) of current delistings for NASDAQ & NYSE?
1
vote
5answers
7k views

How are HFT systems implemented on FPGA nowadays?

I have read about different implementations of HFT systems on FPGAs. Argon HFT system (http://trading-gurus.com/argon-design-an-fpga-based-hft-platform/) Hardware-only implementations or hybrid ...
-2
votes
1answer
53 views

What does “percent of change” mean? [closed]

Whenever a price is changed, you can find the percent of increase or the percent of decrease by using the following formula: $$\frac{\text{percent of change}}{100}=\frac{\text{change in ...
9
votes
1answer
390 views

Distribution of Geometric Brownian Motion

Please let me know where I have been mistaken! Let the SDE satisfied by the GBM $S(t)$ be $$ \frac{dS(t)}{S(t)} = \mu dt + \sigma dW(t). $$ Then, the underlying BM $X(t)$ will satisfy $$ dX(t) = ...
1
vote
1answer
1k views

Implied state price density (Question 1 - derivation of the formula)

I came upon the term "implied state price density" in a couple of papers. As far as I understand the concept one basically tries to extract the "pricing density" from the market data. For the sake ...
1
vote
3answers
76 views

Who is the issuer and the counter part of this instrument?

I have the following SWAP contract : T1UH4 which is a 2-Year Deliverable Interest Rate Swap. Product info : ...
2
votes
0answers
220 views

The Public Market Equivalent measure in private equity

What are the advantages and disadvantages of the Public Market Equivalent measure in private equity? Why is it that the volatility of the cash flows do not matter? This topic has been discussed in a ...
0
votes
2answers
84 views

Wiener process proof

Can someone prove to me how $dW_t=W_t-W_s$, where $t=s+1$, the difference of the Wiener process eventually equates to $dW_t=z*(dt)^{(1/2)}$ where $z$ is standard normal, $N(0,1)$ in the following ...
2
votes
1answer
55 views

Attributing change in yield as a result of structural change

Suppose your portfolio has $w_0$ amount of bonds with yield $r_0$. Now you buy additional $w_1$ amount of bonds with yield $r_1$, then buy additional $w_2$ amount of bonds with yield $r_2$. ...
5
votes
1answer
593 views

Is Behavioral Finance relevant to quants?

This topic has been prompted by the following question: Measuring Behavioral Finance Effects in Fund/Portfolio Manager Analysis After reading it and the comments below I started thinking whether ...
3
votes
1answer
145 views

What's the underlying idea of definition of constrained market in Skiadas' Asset Pricing Theory?

I'm self-studying Skiadas' Asset Pricing Theory, and find the definition of constrained market on page 21 confusing(you can find it here in the sample chapter). Definition 1.26. A constrained ...
0
votes
0answers
35 views

Approaches to check/validate the output of an optimization algorithm

Let's say we want to optimize the a function $f(x_1,\dots, x_n)$ with $(x_1, \dots , x_n) \in \mathbb{D}^n$. For the sake of simplicity let $\mathbb{D}^n$ be the unit sphere. We chose an optimization ...
0
votes
0answers
34 views

measuring the performance of round-trips on stocks

can you provide me with some ideas to assess the profitability of round-trips? That is when I buy 100 shares of IBM at 10\$ and I resell them two days later at 11\$, how can I measure the profit made? ...
7
votes
1answer
604 views

Do intraday volume and volatility share the same properties?

volatility clustering and mean reversion are very well known properties that one could use when trading. Traders, especially in options world, do take realized vol into account (e.g. by forecasting it ...
2
votes
0answers
213 views

regarding Basel III IRB method for credit risk

Would the exposures between standard method and internal rating based method for credit risk under Basel III remain same?I could not find any documents for IRB approach under Basel III. Is it still ...
1
vote
1answer
80 views

What would be an alternative if the VaR model is not acceptable?

Assume we have a VaR model wich says : the lost should not exceed X for more 3 days and we come up with more days where the lost exceeded X, what is usually done for the VaR model ? Do we switch to ...
3
votes
1answer
387 views

3 Factor HJM model, do these factors have an economic meaning?

In the HJM model, in case we have 3 factors, do these factors have an economic meaning at all ?
2
votes
0answers
187 views

Zakamouline Optimal Hedging of Options with Transaction Costs

I've read that the Zakamouline method suggests the best optimal hedging of options when taking transaction costs into account. I've read the article but am having difficulty understanding it well ...
2
votes
2answers
3k views

Delta Neutral / Gamma Neutral Positions

I've been trying to find out more about options positions which are both delta neutral and gamma neutral--created with some kind of calendar spread. Supposedly, such a trade will be perfectly hedged ...
0
votes
1answer
234 views

How to backtest the VaR model?

I have a sorted historical P&L vector of 250 days and say, I want to calculate the 90% VaR on this distribution. I will look for the 225 element (90% * 250 = 225) and this will be my Value at ...
2
votes
2answers
2k views

An alternative to the Gaussian distribution to describe/fit market stock returns

After the financial crisis in 2008, many people (including me) don't really believe that stock returns can be described in terms of the normal distribution (Gaussian distribution). But besides the ...
0
votes
0answers
314 views

Copula Value At Risk

Let's suppose I have two asset in my portfolio. I want to compute Copula Value At Risk. Can you help me? This is the code I wrote: ...
4
votes
1answer
291 views

Practical implementation of Least Squares Monte Carlo (tweaks and pittfalls)

The Longstaff-Schwartz LSM approach is nowadays ubiquitous(at least in the academic literature) in pricing path dependant derivatives. Up to now I have mostly worked with lattice methods. My ...
1
vote
1answer
1k views

Markit PMI vs ISM PMI

What is the difference between the Markit Manufacturing PMI and the ISM Manufacturing PMI? The monthly number differs a lot, my understanding is that they are trying to indicate the same thing.
3
votes
1answer
2k views

Can the duration of a bond be greater than Time to Maturity

In the case of a vanilla bond I know that the duration will be less than the time to maturity. But I am observing that for a non-vanilla bond, the duration is greater than time to maturity. Can ...
0
votes
2answers
189 views

How to obtain specific information on FX trading systems?

I'm trying to compare trading venues using a quantitative product selection matrix (and eventually software vendors using a different matrix specifically for vendors), and I was wondering if anyone ...
4
votes
1answer
117 views

Linear-Boundary Crossing Problem for Brownian Motion

This is a question I came across while reading: $W = (W_t)_{t\geq{0}}$ is a standard BM. Let $\mu\in \mathbb{R}$, and let $\tau_{a}^{\mu}$ = $\inf(t>0;W_t = a + \mu{t})$ be the first passage time ...
1
vote
0answers
86 views

Fitting a sigmoid function to incomplete, structured, data

I have an incomplete data set that looks like this: and I believe that it will continue to form a sigmoid-like shape. How can fit a sigmoid curve to this data given my assumption about what the ...
1
vote
0answers
75 views

Sampling and/or asymptotic distribution of a function

Assume we have the following function: $$f(p) = \frac{1}{(1-p)d}\ln\left(\frac{1}{T}\sum_{t=1}^{T}\left[\frac{1+X_t}{1+Y_t} \right]^{1-p} \right)$$ where $d$ is a constant $T$ is a constant $X_t$ ...
5
votes
2answers
2k views

Free and tested optimization, statistical and visualization packages for C#

I am about to implement a variation of the LIBOR-Market-Model (complete with Least-Square-Montecarlo, calibration, pricing etc.) and decided to implement it in C#. The implementation will involve ...
1
vote
1answer
503 views

Pre-trade evaluation and risk assessment of option trading strategies (in market practice)

When a trader gets conclusion of the volatility is being underestimated (via volatility cone or some other technology), actually there are multiple ways for his trading. (Let's assume the underlying ...
3
votes
1answer
181 views

Beta and the Assumption of IID Returns

For two stocks that are independent and identically distributed (iid), do they have the same beta? Does the number of data points matter?
1
vote
0answers
235 views

How to calculate modeled asset volatility by industry factor?

Currently I am working with huge data frame which consists of a lot firms. For each firm in my sample I calculated asset volatility ( I am using Merton default probability model, so I have used 2 ...
4
votes
0answers
70 views

Forecasting amount of slippage in executing option spreads

Is there a good quantitative model to estimate how much slippage is required to execute a particular option spread trade? For example, let's say you want to execute an Iron Condor. Given X, Y, Z ...

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