1
vote
1answer
133 views

Why gamma and theta have opposite signs?

I saw some textbooks use B-S equation to explain why gamma and theta have opposite signs in most of the cases. For example, John Hull's classic book. The explanation is, first write B-S equation in ...
1
vote
2answers
2k views

Calculate Average Price, Cost, (Un)Realized P&L of a position based on executed trades

We have built an algorithmic trading software and need to calculate the following parameters for each position in our portfolio. Average Price Cost Realized Profit & Loss Unrealized Profit & ...
1
vote
1answer
108 views

Do you have a validation set for Libor Market Model implementation?

I'm trying to calibrate a Libor Market Model (LMM) in Matlab with my user-defined function, not their package. I already fitted the market volatilities using SABR but failed to simulate the ...
2
votes
1answer
447 views

Do you know any data source for historical VWAP data?

I am looking for historical VWAP pricing data for north american equities. I haven't been able to find a free/cheap data source. Do you guys know of one ? Also, is there a way to proxy for an equities ...
2
votes
1answer
41 views

Stationary distribution for square root process

Consider the process, $$ dX_t=(-aX_t+b(1-X_t))dt + \sqrt{X_t(1-X_t)}dW_t $$ How do I show that the stationary distribution for the transition density is a beta distribution? I tried expanding the ...
0
votes
2answers
150 views

What is a canonical book or article to learn pair trading?

Can someone suggest a resource with a clean cut explanation of pair trading?
9
votes
1answer
698 views

Applicability of PCA to get historical volatilities to calibrate interest rates trees

My question in short is as follows: can I take main principal component of historical covariance matrix and use it as historical volatilities when fitting a binomial tree? Here's more detailed ...
0
votes
1answer
24 views

Compute the (Net) Present Value

Let's have a project where we invest 1000 at the beginning of year 1 and 1000 at the beginning of year 2. At the end of year 2 the income is 2200 and the project is closed. Person A discounted with ...
1
vote
0answers
20 views

Calculate minimum IV increase to offset theta

How would one calculate the minimum implied volatility increase necessary to offset theta decay? IV is typically a percentage, while theta is a dollar value. In theory I think I could look at what ...
0
votes
1answer
31 views

Determining swaption prices using the characteristic function

There exist multiple techniques to determine call option prices that make use of the characteristic function. These techniques boil down to some integral expression of the option price in terms of the ...
2
votes
0answers
38 views

Intraday versus daily volatility in slippage estimation

On page 21 of http://www.cims.nyu.edu/~almgren/papers/costestim.pdf Almgren has the formula $\displaystyle{\text{Slippage} = ...
1
vote
0answers
21 views

EDGX, EDGA, Nasdaq and Bats-Z Pricing in 2011

I'm trying to find the fee and rebate structure of these 4 exchanges during year 2011, in the specific, I'm interested in the cost of posting a hidden Limit Order, in the cost of removing a visible ...
0
votes
1answer
132 views

Market data for options

Looking for recommendations on places to get market data for options. I'm looking at NYSE and NASDAQ only. My current solution is my broker, Tradeking. I can request realtime data for 700 option ...
1
vote
1answer
27 views

Identity given in Shreve volume 1

in a solution to a question about random walks (5.3 i), Part of the answer includes the identity: $$\ln \frac{1+\sqrt{1-4 pq}}{2p}=\ln\frac{1-p}{p}$$ note that $p+q=1$ and $0<p<1/2<q<1$. ...
0
votes
0answers
18 views

How to understand the upward trend of currency hedged euro/japan equity ETF

The quantitative easing implemented in Euro zone & in Japan has resulted in two outcomes Massive inflow of money into market that raised the stock index, and The weakening of euro/yen compared ...
0
votes
0answers
39 views

bond price formula in excel

I inherited a excel spreadsheet that has the following code to price a bond given coupon and current yield ...
0
votes
1answer
48 views

Where can I get historical fundamental data for multiple companies in a single CSV file?

Summary I seek an explicit reference to a source that gives me a fixed URL, e.g. http://example.com/?isin=US1912161007 or ...
0
votes
3answers
88 views

How to estimate parameters of geometric brownian motion with time-varying mean?

Does anyone know how to estimate $A$, $\sigma_1$,$\sigma_2$ from the following system? $$dx = \mu_t x dt + \sigma_1 x dB_x$$ $$d\mu = A(\bar\mu - \mu) dt + \sigma_2 dB_\mu$$ Variation in $x$ could ...
0
votes
0answers
26 views

Invoice Discount pricing model

I was wondering whether there exist pricing models in particular for Invoice Discounting contracts and short-term financing solution where credit risk plays a major role. Specifically, assuming that ...
0
votes
0answers
47 views

Which bond corresponds to which curve?

Bond X has a coupon Bond Y is a zero-coupon bond (Maturity 2 years) Bond Z is a zero-coupon bond (Maturity 10 years) The following graph is given: X-axis: yield curve, Y-axis: price Question: ...
0
votes
0answers
16 views

Daily PnL Calculation with currency conversion and multiple trades at the same day

In my project I increase and decrease my position many times during the day and leave a part of the position open. Through these many trades the position can flip from long to short. At the end of the ...
2
votes
0answers
30 views

How to properly assess the costs of replicating an index via futures contracts?

I would like to validate this sentence, coming from a WSJ article: The cost of holding a Eurostoxx 50 future, for example, has climbed from an average of 0.07% of the contract value since 1998, ...
3
votes
2answers
257 views

What is the yield on an infinitely lived ZCB?

I guess the price of a Zero-Coupon Bond with infinite maturity should go to zero, what about its yield? I am asking this because I was dealing with the yield curve and its asymptotic properties when ...
1
vote
1answer
214 views

Which is the better risk sensitive measure?

Consider the two following optimization problem 1) $$ \min_{\theta} \ln E_{\theta}[ e^{X}]$$ 2) $$ \min_{\theta} E_{\theta}[ X]$$ with the constraint $$ Var_{\theta}[X] <c$$ Is it true that ...
0
votes
2answers
119 views

Geometric Variance

If the arithmetic mean is: $ \frac { \Sigma (x_i) }{n}$ and the geometric mean is $ (\prod (1+x_i) ) ^{1/n}$ The arithmetic variance is $ \frac { \Sigma(x_i-\mu)^2 } {n} $ then what is the ...
0
votes
1answer
43 views

How to calculate cash flow for XC swap

Given 3MLibor vs 12MLibor USD basis swap the 3M Libor is exchanged at 12MLibor+1%. How to calculate the cash flow
-4
votes
1answer
97 views

Risk Neutrality Necessary for Dual Delta Calculation?

I have an option chain for a specific expiry date. Then calculate dP/dK numerically for each pair of strikes. My hunch is that this calculation is not risk neutral in the strictest sense of the word ...
2
votes
1answer
63 views

How to interpret the French-Fama SMB factor?

I regressed ten portfolios on the Fama French factors and get significant loadings on the SMB factor. However, if I look at the actual average market cap of these portfolios, the portfolios with the ...
0
votes
1answer
87 views

Forex P&l Attribution on Physical Forward position

Please validate my unrealized Fx P&L calculation on the commodity forward contract e.g. consider i have bought 1 MT of wheat at 300 EURO my financial currency for company is USD. I am using below ...
10
votes
10answers
24k views

What is the difference between Option Adjusted Spread (OAS) and Z-spread?

I am preparing for the CFA level 2 exam, I got confused by the concept Z-spread and OAS. When a call option is added to a bond, since it is not favorable to the bond buyer, they would require more ...
3
votes
1answer
332 views

Where are creation units baskets for ETFs published?

Where can the specification of a creation unit basket for an ETF be found? This information is needed for calculating the arbitrage possible between the ETF instrument itself and the creation unit ...
0
votes
1answer
28 views

Explain the unconditional covariance in Dynamic Conditional correlation( DCC ) GARCH model

Confused about the unconditional covariance matrix in a DCC GARCH model. Could anyone help me understand it? My understanding is that we get the unconditional covariance before based on the data sets. ...
0
votes
0answers
13 views

How to compute the Coskewness Matrix in excel?

I'm triyng to compare two portfolio based on same sample of equities returns. And i want to know how to compute the coskewness matrix without using VBA, only in excel. Even a simple example with three ...
0
votes
0answers
22 views

scale alpha forecasts to align with covariance matrix

I have a set of monthly alpha forecasts and my covariance matrix has been annualized. I would like to do a mean variance optimization with a linear tcost penalty term. How do I rescale my alpha ...
3
votes
1answer
171 views

Black-Scholes formula with deterministic discrete dividend (Musiela approach)

For deterministic discrete dividend, there are two approach Musiela approach, works when every dividend are paid at maturity of the option. Hull approach, works when every dividend are paid ...
0
votes
1answer
46 views

Raising money in IPOs

When a company goes into an IPO wouldn't they try to make as much money as they can? Then how come the Greenshoe option says that some would try to not issue additional shares just so their share ...
1
vote
1answer
24 views

Where can i get a feed for country specific economic announcements?

I am looking for a feed for country wide economic announcements. For example CPI announcements etc. I currently use http://www.fxstreet.com/economic-calendar/ but I have to manually go there and ...
1
vote
1answer
157 views

Executions deep in the Limit Order Book?

I have some Level III (message level) data for equities and I have found several cases in which I register the execution of a Limit Order at a price "worse" than the best bid or ask. For example, ...
0
votes
1answer
153 views

Girsanov theorem in CMS convexity derivation

I am going through the derivation of CMS convexity from the notes of Lesniewski There is a transformation from $T_p$ forward measure to annuity measure $Q$ as $$ ...
0
votes
2answers
112 views

How can I create a public viewable stock market index?

I have 3,000 tickers that I would like to turn into a weighted index, viewable by the general public by going to Yahoo and typing in ^PSNDX (for example) or go to E-Trade and enter something similar. ...
0
votes
1answer
128 views

Cointegration Test: Residual is stationary but not random?

I am testing cointegration relationship on various pairs of stocks by this following these steps. Test for I(1) on a pair of stocks, says X and Y, using dickey-fuller test. If both time series are ...
0
votes
1answer
114 views

Set up sharpe ratio with 2 risky portfolio

You are considering an investment in the stock. In the stock market, there are two risky stocks (A and B) and a risk free claim, C (you can think of it as the t-bill). The covariances and returns of ...
0
votes
0answers
46 views

building stocks screener using R and Quantmod

I am trying out R and Quantmod, my aim is to scan whatever stocks which match MACD crossover let's say 12 and 26 period, then print the stocks code on one Window. I have couple questions: How could ...
1
vote
1answer
41 views

Correlated Random Number Generation using Sobol?

There is a clear theory about generating correlated random numbers using Cholesky decomposition or PCA. I suppose if we apply above methods to random numbers generated using Uniform random numbers ...
1
vote
2answers
242 views

Is it statistically valid to ignore “irrelevant” stock prices during backtesting?

As an amateur trader, I have reasonable success with my current end-of-day trading systems. All my systems are based on at least ONE year of "in-sample" data for backtesting, followed by 6-months of ...
9
votes
2answers
250 views

Best written quantitative finance papers

I have some writing experience, but I want to take my writing skills to the next level. I am particularly interested in writing quantitative finance papers for journals like Journal of Portfolio ...
1
vote
1answer
21 views

How do I calculate the PPP adjusted exchange rate between two countries?

I have been trying to calculate the PPP-adjusted EURUSD exchange rate. I am not sure if it is the same as relative PPP, for which I have used this formula: Spot rate at time t = Current spot rate * ...
1
vote
2answers
68 views

Transformation into Martingale

If $f$ is some function of BV on $\mathbb{R}$ and $dZ_t = f(W_t)dW_t + \mu_t dt$ ($W_t$ is a $1$-dimensional standard Brownian Motion), then what choice of real valued function $F$ makes: ...
1
vote
1answer
38 views

Inferences with non-normal data

I have data of index closing values. I later will use to run some regressions on the percent changes. When examining the data, I find heteroscedastic residuals and that the distribution is non-normal. ...

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