4
votes
1answer
20 views

Does it make sense to use upward and downward volatility in option pricing?

Historically stocks have a higher likelihood to increase in price than to fall in price. As such would it make sense to split a stocks volatility measurement into upward and downward components? For ...
1
vote
0answers
10 views

Hot do I calculate an effective forward rate? [on hold]

I have to find nominal and effective forward interest rate for 3M-9M term, knowing that current interest rates are: 3M - 2.05% 6M - 2.04% 9M - 2.03% 12M - 2.02% For a nominal interest rate I just ...
1
vote
0answers
9 views

How to estimate CVA by valuing a CDS of the counterparty?

I'm trying to estimate CVA of one of my derivatives by valuing a credit default swap (CDS) of my counterparty. However, I don't know how to set up the CDS deal (notional amount, maturity, etc.). ...
1
vote
0answers
6 views

Longer term average probabilities of fills at fx ECNs?

I am wondering whether anyone can share experiences and longer term average probabilities of fills when quoting inside the spread at various fx ECNs. I need to make an assumption of the probability of ...
1
vote
0answers
11 views

What is the future value of a growing annuity with different periods for payment growth and monthly payments?

How can I modify the formula in this answer so that the frequency of payment growth is also a variable? For example, instead of payments growing by 2% each year I would like them to grow 2% every two ...
1
vote
1answer
29 views

Black Scholes model: condition of payout function

Given: Consider a two-asset, continuous time model (B,S) where \begin{equation} dB_t = B_t r dt, \quad dS_t = S_t ( \mu dt + \sigma dW_t). \end{equation} Clearly, the martingale deflator is $Y_t = ...
0
votes
0answers
17 views

Any Simple Way to Prove Black Scholes Type Identies?

A certain complicated option pricing formula results in products of Black Scholes $N$ components like this: $-p_1N(d_1)N(d_6)+p_sN(d_2)N(d_5)>?0$ where $p_s>p_1$ Trying to find a simple way ...
1
vote
0answers
6 views

Estimating Number of “Day Trades” from Total Volume of Commodity Futures Contract

Looking at futures data I am trying to calculate/estimate the number of "day trades", i.e. positions that were initiated and closed during the same day, as distinct from those positions that were ...
1
vote
2answers
34 views

Dupire model and Local Volatility model

In the context of Option pricing model. Is there a difference between the Dupire Model and the Local volatility model ? Thanks Achal
1
vote
0answers
27 views

Bachelier model: number of stocks in replicating strategy

Given: Consider a two-asset, continuous time model (B,S) where \begin{equation} dB_t = B_t r dt, \quad dS_t = \mu dt + \sigma dW_t. \end{equation} The question is: How to show that the number of ...
0
votes
0answers
9 views

Cost of carry for posting bonds as collateral

Cost of carry for posting bonds as collateral How do you calculate cost of carry for posting bonds as collateral?
1
vote
1answer
86 views

What are the dynamics of the reverse of this FX process?

Assuming the dynamics of the exchange rate between two currencies at time $t$ is given by: $$ dX_t=\Delta r X_t dt+ σ X_t dW_t$$ Is the FX Reverse process $\frac{1}{X_t}$ a brownian motion? How can ...
4
votes
3answers
2k views

Mean reverting Indicator

I'm looking for an indicator which tells me if it's a good time to use mean reverting type quantitative trading strategies. In order to do so I look at the market (the few hundred stocks I trade) and ...
0
votes
3answers
180 views

API-based equity screeners?

I know there are APIs from different brokers that allows you to trade and also obtain information about specific companies, but I wonder if there are equity/asset screeners that are API-based and can ...
4
votes
1answer
61 views

How to estimate the greeks with a Monte Carlo simulation?

I am simulating the path of three indices to price a 1 year basket option. All the indices are domestic, so there is no currency component. At each time step I am using the local volatility ...
0
votes
0answers
15 views

Interpretation of Cointegration results, pValues and t-Stat

This is a follow up to: Cointegration results interpretation validation? I ran another Engel Granger Test on a pair, The results I get: ...
0
votes
1answer
36 views

What's state price vector?

What is state price vector?. Please explain me in detail is difficult to understand for me.
4
votes
3answers
96 views

What are the canonical books for statistics applied to finance?

I have some decent knowledge of probability, stochastic processes and option theory, however I do not have a proper background in statistics. Now I am working quite a lot with data, and trying ...
0
votes
1answer
40 views

Is there a broad currency index just like there is an equity market index?

I would like to assess the performance of currency traders so I was wondering if there is a broad currency index that can be used as a benchmark to assess the performance of these traders. The index ...
0
votes
3answers
217 views

How to create a model or formula for evaluating trade opportunities

I want to build a formula to produce a score for a potential trade based on 4 variables, time, return, liquidity of security, and probability of failure. For a set of potential trades I first ...
0
votes
0answers
16 views

How to calculate a single swap's PFE?

I need to calculate the Potential Future Exposure (PFE) for a single swap (not a portfolio). As far as I know a stochastic model is needed to simulate the interest rate curves (from here). I need ...
5
votes
2answers
257 views

Pricing options under restricted domain

How would I price an option when the underlying security is unable to trade above a certain price? I assumed this would be as simple as restricting the limits of integration of the PDF to B (the ...
4
votes
2answers
143 views

Some clarifications on eigenvectors and eigenvalues from PCA

Could somebody tell me whether suggestions in bold true or not? Q # 1: http://www.math.nyu.edu/faculty/avellane/AvellanedaLeeStatArb071108.pdf ...
1
vote
2answers
215 views

Why is that a risk averse consumer buys the optimum insurance when there is actuarially fair insurance?

I think I understand the fact that when marginal utilities of the same function are equal (a consequence of the actuarially fair insurance), the independent variables in it must be equal -- right? But ...
4
votes
0answers
114 views
+100

A model to stochastic hazard rate and CDS spread term structure

I'm interested in the term structure of CDS spread. It's known that the Market CDS rate (fair CDS spread or T-maturity spread) of a CDS contract initiated at $s$, maturity $T$ and recovery function ...
0
votes
0answers
38 views

What is the cheapest way to trade equities using a FIX connection? [on hold]

I would like to connect to an electronic exchange to run some simple statistical arbitrage strategies to trade equities. Of course this must be done from end-to-end electronically, in other words, I ...
11
votes
2answers
788 views

Copula models and the distribution of the sum of random variables without Monte Carlo

There is a vast literature on copula modelling. Using copulas I can describe the joint law of two (and more) random variables $X$ and $Y$, i.e. $F_{X,Y}(x,y)$. Very often in risk management (credit ...
3
votes
1answer
72 views

Portfolio VaR with Copula?

Let the portfolio be given by: $$X=X_1+X_2$$ $(X_1,X_2)$ are dependent through a Copula function $C(u_1,u_2)$, such that the joint distribution is given by: $$F(x_1,x_2)=C(F(x_1),F(x_2))$$ What is ...
-2
votes
1answer
23 views

Modified or Macauley Duration in python

are there any existing python modules that can calculate Modified and/or Macauley Duration of a bond.
0
votes
1answer
28 views

Get market cap by ticker on 1.7.2013?

I have a list of all S&P500 tickers, e.g. AAPL, GOOG, JPM. I would like to get their market cap on 1.7.2013 (I don't have Bloomberg, only free internet). Is there an excel addin or other ...
1
vote
2answers
97 views

Why doesn't Black-Scholes assume the absence of statistical arbitrage?

Both Black-Scholes and binomial model assume that there's no risk-free arbitrage in the market. But that sounds like a very weak condition. If a trading scheme makes you gain 100 dollars with 99% ...
0
votes
2answers
88 views

Is the volatility for these two SDEs the same

$$ (1) \ \ d\left(\frac{1}{S_t}\right) =\frac{1}{S_t}\left(\sigma^2-r\right)dt +\frac{1}{S_t}\sigma dW_t $$ and $$ (2) \ \ dS_t = S_t rdt + \sigma S_t dW_t $$ How can you prove that?
0
votes
1answer
24 views

Index for Hedge fund, Private Equity, Venture Capital

We have index for stock market, like S&P500, Nikkei 225, etc. I wonder if we have any index for hedge funds, private equity or venture capital?
0
votes
1answer
40 views

Cointegration results interpretation validation?

Here is how I am interpreting results of a Johansen Cointegration Test and Engel-Granger Test for A and B. The results:(Using matlab) ...
1
vote
2answers
152 views

Locked or Crossed Markets

I don't understand why Rule 610 from Reg NMS was introduced: what was the problem with locked markets? I have read that one of the issues is that it forced a market maker (say, from Nasdaq) who ...
0
votes
2answers
63 views

what volatility do we calculate using GARCH model

what volatility do we calculate using GARCH model, Historical vol or Implied vol or Future Vol or Actual vol.
0
votes
1answer
33 views

Implication of the Greeks under jump diffusion model

Consider jump diffusion model proposed by Merton and Kou. As far as i know, most paper only dealt the valuation of option under the jump diffusion model. As i expected, because of the ...
0
votes
1answer
31 views

negative probabilities in the bivariate tree heston model

I am trying to implement the bivariate tree approach for the Heston model by Beliavea & Nawalkha. I currently have the problem that given the specifications in their examples, I always obtain ...
0
votes
1answer
29 views

Why vertical skew is same for puts and calls

What is the reason that the vertical volatility skew graph(decreasing IV as the strikes increase) is the same for the puts and calls? The loose explanation is because of put call parity, but I am not ...
1
vote
2answers
209 views

List of 2008 NACE Rev 2 codes

Am looking for a simple list of the NACE 2008 rev 2 codes (The European classifications for economic sectors). The official publication is here, but is there an easily accessible list of the actual ...
2
votes
1answer
68 views

Quadratic exponential method (by Andersen) in Heston model

I am having trouble understanding the reasons that led Andersen to define his QE scheme to efficiently simulate Heston Stochastic volatility model (you may check the celebrated scheme here). The ...
1
vote
1answer
112 views

FX Rate dynamics

Let's suppose USD/EUR price in USD follows a GBM with $$ dS_t = rS_tdt + \sigma S_tdW_t $$ What process does EUR/USD follow in EUR?
1
vote
1answer
42 views

Historical Implied Volatility Calculation

I'm trying to calculate implied volatility for the FTSE 100 for the last few years. I have all the end of day data from LIFFE for the last few years. I have combined the data by weighting the ...
0
votes
2answers
187 views

Intermarket analysis - related time series?

I'm about to embark on training a neural network on daily forex data, with a view to obtaining a predictive network. I'm also interested in using data other than the forex currency pair data itself, ...
1
vote
2answers
79 views

is there an accepted method for quantifying risk of inaccuracy of nascent trm systems?

Have a somewhat meta question here. I am part of a trading risk management implementation project. I also manage day to day risk reporting to management and the trading desks. Our implementation was ...
0
votes
1answer
45 views

Is the value also log-normally distributed?

Sorry if this is a stupid question. My book assumes many times that $log(1+R)$ is normally distributed, so R is log-normal. But does this also mean that the value process is log-normal? Since ...
1
vote
1answer
38 views

use synthetics for a pairs trading strategy

Let us say I want to pursue a pair trading strategy between stock A(long) and stock B(short). Can I replace this stocks with their synthetic option equivalents and have the same risk reward profile ...
0
votes
2answers
39 views

Shreve book II Question 4.6 Error?

I'm working through Shreve II, and on question 4.6, you are asked to compute $d(S_t^p)$ where $S_t$ = $S_0e^{\sigma W_t + (\alpha - \frac{1}{2}\sigma^2)t}$ I get the answer $pS_t^p[\sigma dW_t + ...
0
votes
3answers
78 views

Downloading most recent stock prices

I would like to download (from Google) the most recent prices for a series of stocks. I have created a portfolio at Google and I can click on "Download to Spreadsheet". That works. But I would ...
4
votes
2answers
416 views

Malliavin Calculus

From a quant point of view, how would you explain Malliavin calculus in few words ? I have the level to take these courses, but won't be able to do it next year, so I want to know what I am missing. ...

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