All Questions

43 views

Leland's model of non-linear Black-Scholes equation

Leland's model of non-linear Black-Scholes equation: (http://i.stack.imgur.com/EkqQb.png) where с is round-trip transaction costs and S is price of stock. c is said to be constant, ...
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130 views

Implied volatility of a complex options position

Assume I have a "complex" options position like a straddle, strangle, or iron condor. In other words, several options traded together as a single position against one underlying asset (not a basket ...
44 views

Where are the prices of real European Call options listed?

In order to solve an exercise, I need data from real European Call Options (on the same underlying). It sounds definitely trivial, but actually I feel a bit lost...do you mind giving a link/suggestion ...
85 views

Strategy Testing

Firstly I am a newbie so I will apologise in advance if this is in the wrong forum. My question concerns testing for an equity trading strategy and I would appreciate any comments as to whether my ...
110 views

Price of call/put is convex in $K$ (strike price)

Let $\lambda\in(0,1)$. Then $$C(T, \lambda K_1 + (1 - \lambda)K_2, S, t) \leq \lambda C(T, K_1, S, t) + (1 - \lambda)C(T, K_2, S, t)$$ $T$ - the maturity $K_1$,$K_2$ - Strike prices $S$ - stock ...
94 views

Calculate mean variance portfolio

I am trying to calculate the mean variance portfolio using the plug-in approach. First I generate some artificial data: x <- replicate(10,rnorm(1000)) Then I ...
62 views

Looking for most current Financial API that is fast and accurate for NYSE NASDAQ AMEX OTC and PINKs

Looking to build a real time data feed, stock monitor window. Pretty much the same as equityfeed.com market viewer window, just with a few addedfeatures and or different filter columns with more up ...
77 views

American call and put prices, increasing in maturity

Show that American call and put prices are increasing in maturity $T$. Does this mean I need to show that as $T$ increases than the American call and put prices increase as well? If so, how do I go ...
498 views

Aren't Technical Indicators calculated on Adjusted Close Price?

I would assume that day to day movement in stock can be accurately compared with the Adjusted Close Price and not simply the Close Price, taking into account Stock Splits Dividends etc. ...
90 views

Generating financial data

I am trying to generate monthly stock data using a one-factor model: $$R_{a,t} = \alpha + BR_{b,t}+\epsilon_{t}$$ The description says: $R_{a,t}$ is the excess asset returns vector, $\alpha$ is the ...
21 views

Regression on default rates and backward extrapolation

Suppose that we have bankruptcy data representative for Small and Medium-sized enterprises in a country. We can therefore calculate default rates. Furthermore suppose that we found that GDP, ...
92 views

Normal Inverse Gaussian distribution - any consensus on an accurate quantile function?

I am making use of the Normal Inverse Gaussian distribution in my work to model underlying interest rate implied volatility risk drivers. What is particularly nice about this distribution for my ...
29 views

Calculate control variate for monte carlo simulation

For an exercise I need to calculate $\mathbb{E}[X]$ with a Monte Carlo simulation. I need to use control variate $Y$ with $\text{Var}(Y)=2$ and $\text{Cov}(X,Y)=1$. I am asked to give the optimale ...
54 views

Dual discounted forward curve

I was wondering how to calculate the forward rates based on OIS discounting for the half year terms. I know how to do this for the full year terms -> just making sure that the two legs are equal to ...
67 views

Interpretation of portfolio standard deviation

I have computed an efficient frontier using quadratic optimization algorithm for some stock data and then plotted it. However, I have troubles understanding how to interpret standard deviation of ...
9k views

How is PnL calculated

In Fixed Income, I know that bonds PnL are evaluated depending on where the price lies on price/yield curve at the end of the day, compared to where it started from at beginning of the day. The ...
62 views

How can I find stocks that have had a X% price swing within Y days, sorted by recency of said swing? [closed]

Let's say that I want to find stocks that have moved +-20% within a 10 day period. ABC would match if at t, ...
132 views

Stock Symbols: ETFs vs Real Companies

I built a trading strategy that is based on a pool of all the symbols available on NYSE, Nasdaq, and AMEX. I don't like the idea of trading symbols that are ETFs. For example, the symbol TVIX, which ...
432 views

I am currently working on comparing different models for modelling the volatility and then pricing vanilla options (I use option prices on real stocks in order to calibrate my models and then I ...
54 views

Martingale correction for Andersen scheme with Interest Rate

I have implemented martingale correction to my Andersen scheme for Heston model, as it is in the paper (page 19-22): ...
65 views

Duality of callable bond price

I am trying to understand the relationship between two methods of pricing callable bonds in the risk-neutral pricing framework. Problem statement Let's consider zero-coupon bond with face value 1, ...
99 views

How to get list of large intraday movers for that day?

Is there a source (preferably free :) that provides a list of large intraday (versus pre market) movers for the day you look? I don't mind getting the list on market close. I don't need historical ...
36 views

Future value of the debt under Merton model

The author Malz states the future value of the firm's debt under the Merton model can be found from: $$D_{t} = D - \max(D - A_{t} , 0)$$ (where $D$ is the par value of the debt, $A_{t}$ is the ...
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What are “risk” or “risk numbers?”

I work in finance but do not have any formal education in the subject (I do have a PhD, but not in finance). I've picked up a lot of the jargon but there's one thing that I haven't figured out, and it ...
4k views

What C++ math libraries are typically used by quants?

Before you mark question as off-topic, please read it - it is, actually, quant-related. Basically, I'm working on an app that spits out a lot of C++ math. When it comes to simple things like ...
81 views

Where can I find the most reliable historical fundamental data for US Equities

I've looked at several sources including Bloomberg, Zacks and Cap IQ. Many times, they don't update their data with the revisions. I'm looking for Income Statement and Balance Sheet data going back to ...
29 views

Is NYSE Arca an exchange or an ECN?

the US Equities / stocks market seems to be the very complicated one. And I'm trying to understand what market participants it consists of, what their roles and functions are. Also, what I'm trying to ...
215 views

Intuitively speaking, why do at the money options have no volga/convexity?

I was wondering if someone could give me an intuitive explanation as to why the vega of at the money options doesn't increase with volatility. I've seen some mathematical explanations showing the ...
49 views

How to calculate Sharpe Ratio if there are gaps in returns?

I see a lot of examples, like "We hold long position during whole year, then we calculate daily sharpe ratio and multiply it by SQRT(252) to get the annual one". This example makes sense for me. ...
50 views

simulation and timestep

Suppose I have a stochastic process i.e. a Vasicek process with parameteres estimated with monthly (RW measure) data and want simulate the process using a daily timestep. Is this a good practice?
94 views

Heston model - Andersen scheme implementation

I would like to implement Andersen scheme for Heston simulation. On the following snipped is my code for generating asset path: ...
76 views

Large deviations theory and extreme value theory

I'll enter into details of both, sooner or later, but for the moment I'm concerned about the differences (and relationships, if any) between these two theories. Can someone give me a brief, but still ...
31 views

HJM model, existence of arbitrage:

The Setup: Suppose I know the yield curve of a Bond satisfies: f (0, t) = 0.04 for t ≥ 0 and f (ω, 1, t) = 0.06, t ≥ 1, ω = ω 1 , 0.02, t ≥ 1, ω = ω 2 , where Ω = {ω 1 , ω 2 } with P[ω i ] > 0, i = ...