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
606 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
147 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 ...
1
vote
0answers
37 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
612 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
82 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
403 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
195 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
241 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 Risk....
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
324 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
305 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
192 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
121 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
518 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
186 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
240 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 ...
0
votes
1answer
1k 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 ...
2
votes
0answers
81 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 ...
5
votes
2answers
438 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 ...
3
votes
2answers
189 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. ...
18
votes
4answers
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 ...
2
votes
1answer
185 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 ...
4
votes
2answers
658 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}$ $P_t^{swap}=P_{t,t_0}-P_{t,t_N}-\bar{R}\...
1
vote
1answer
523 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 ...
2
votes
2answers
4k 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 ...
3
votes
1answer
195 views

What return equation is Engle referring to in his Nobel lecture?

Engle comments in "Risk and Volatility: Econometric models and Financial Practice" that If the price of risk were constant over time, then rising conditional variances would translate linearly ...
1
vote
0answers
157 views

What's the link between EURIBOR3M futures volatility and rates volatility?

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 ...
2
votes
0answers
90 views

Triangular Arbitrage formula [closed]

i have 3 currencies AUD, USD and EU I am trying to work out the mathematical formula to work out if there is a spread/arbitrage opportunity as well as the maximum amount that can be conducted ( for ...
2
votes
1answer
131 views

How come the existence of ARCH effect is not a violation of Random Walk Hypothesis 3?

An ARCH (autoregressive conditional heteroscedastic) (1) model is: $r_t=\mu +a_t$, where $a_t=$return residual, and $\mu$ is the drift of the stock return $a_t=\sigma_t\epsilon_t$, where $\sigma_t=$...
1
vote
0answers
105 views

What is the arbitrage opportunity in Arrow-Debreu One Period market Model

The one period market model is made of 4 securities(A, B, C, D) and has 4 future states. Assume the market model is complete. and the state prices are (-2, 2, 4, 8). Given that I dont know the payoff ...
1
vote
2answers
467 views

Bloomberg Alternative for Quant Fund

Is there an alternative to Bloomberg for someone who only needs historical data (stocks, futures, indices) as well as what Bloomberg calls 'reference data' - i.e. what is the multiplier of ESU4, what ...
1
vote
2answers
1k views

Reading XBRL Data from the SEC FTP SITE

After I ftp into the SEC Edgar site (ftp.sec.gov) I am able to pull the appropriate financial statements (i.e., 10-k, 10-q, 8-k, etc.) onto my local computer. However, when I go to open these files, I ...
0
votes
1answer
44 views

What is shorting a asset that has negative price. Can anyone give me an example? [closed]

What is shorting a asset that has negative price. Can anyone give me an example?
3
votes
1answer
115 views

Time-Varying Volatility and Conditional Likelihood

Engle's comment in his seminal paper "Risk and Volatility: Econometric models and Financial Practice" mentions that I had recently worked extensively with the Kalman Filter and knew that a ...
1
vote
0answers
86 views

How do bond futures affect effective rate when used to hedge a bond's duration?

I'm trying to wrap my head around what happens to the net interest received when an invester goes short a bond future to fully hedge the duration of his long position in an actual bond. Does it ...
0
votes
1answer
2k views

S&P's Sovereign Ratings: Clarification on Definitions and Symbols

Similar to a question I asked earlier on, but I am now looking at S&P's sovereign ratings. Here, as in the case of Moody's, a few things are unclear to me in terms of the definitions used by ...
0
votes
0answers
62 views

swaps valuation

I am asked to solve the marking to market value(MtM) of a swap, unfortunely i´m having big troubles finding the solution, it´s a 5.5% (vs. LIBOR) 10-year swap, The notional is 500 mio USD and LIBOR ...
2
votes
1answer
431 views

Moody's Sovereign Ratings: Clarification on Definitions and Symbols

I'm working with sovereign ratings at present. With regard to Moody's there are a few things unclear to me in their definitions. Both questions refer to the sovereign rating history in Bloomberg CSDR (...
15
votes
3answers
7k views

Is there an intuitive explanation for the Feynman-Kac-Theorem?

The Feynman-Kac theorem states that for an Ito-process of the form $$dX_t = \mu(t, X_t)dt + \sigma(t, X_t)dW_t$$ there is a measurable function $g$ such that $$g_t(t,x) + g_x(t, x) \mu(t,x) + \frac{1}{...
3
votes
0answers
296 views

Does Bakshi, Kapadia and Madan (2003) VIX building approach underestimate volatility?

From a paper that shortly addresses an alternative approach to VIX-like index building: To test this approach, I've built a fake book of B&S options with constant volatility equal to $\sigma=...

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