# All Questions

209 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 ...
141 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 ...
166 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 ...
393 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 ...
100 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 ...
75 views

### Tracking delistings on NASDAQ & NYSE

Does anyone know of a webpage (or webpages) of current delistings for NASDAQ & NYSE?
4k 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 ...
50 views

572 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 ...
73 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 : ...
183 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 ...
78 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 ...
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 $r_2$. ...
430 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 ...
120 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 ...
32 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 ...
32 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? ...
465 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 ...
184 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 ...
75 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 ...
261 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 ?
148 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 ...
2k 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 ...
185 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 ...
859 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 ...
234 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: ...
202 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 ...
606 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.
1k 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 ...
163 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 ...
87 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 ...
73 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 ...
74 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 $X_t$ ...
1k 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 ...
365 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 ...
128 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?
156 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 ...
60 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 ...
839 views

### Asset-or-nothing Option Valuation in the Black and Scholes model

In standard Black-Scholes Model, compute the price of an asset-or-nothing put and asset-or-nothing call options. Write down the put-call parity relation between the asset-or-nothing call and put ...
70 views

### The concept of an incomplete market

While skeeming the relevant literature and web-sites I noticed that mostly the concept of the incomplete market is reduced to the following statement "A market is incomplete if there are more ...
333 views

### Algorithmical replication of a profit and loss function using different options

I often see questions like "Given this payoff graph (example below), construct a portfolio that replicates it." I want to know if there is an efficient method/algorithm to find the individual pieces ...
152 views

### Effect of interest rate on options prices

This might be another basic derivatives question. When interest rate rises, stock prices generally fall. Assuming an option's underlying is a stock, this should lower the option's price as well. ...
2k views

### What is the necessary level of Econometrics-Know-How for a quant

It seems quants increasingly use econometric models at work. As someone who has sold his soul to probability theory and stochastical analysis I would like to catch up. What are the econometric tools ...
147 views

### Best practice approach for calculating the PE-ratio

I am trying to calculate the historical PE ratios of a stock, but which date should I use to get the stock price in calculating the PE ratio? My current approach is to use the stock price of a day ...
493 views

### Plain Vanilla Interest Rate Swap

I'm trying to build an intuitive understanding of the following $\textit{The price of the replicating portfolio at time$t$of the floating rate receiver is}$ ...
295 views

### How to hedge a forward contract

I was asked this in an interview and I messed it up lol. This might actually be really basic. Let's say I signed a forward contract to buy NASDAQ at 4000 one year from now. How can I hedge this cash ...
2k views

### Sharpe Ratio, annualized monthly returns vs annual returns vs annual rolling returns?

I would like to calculate the Yearly Sharpe Ratio on MSCI World index I have monthly values of the index that falls back up to Jan/1970, hence about: 44 years, 528 months In order to calculate ...
If I am not wrong, EURIBOR3M futures with maturity $T$, whose price is $F_{T}$, are quoted like contracts which express the underlying forward rates, $r_{T}$, as $$r_{T}=\frac{100-F_{T}}{100}$$ Now ...