0
votes
0answers
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, ...
1
vote
0answers
17 views

Optimizing Monte Carl integral calculation with control variate

For an exercise I am asked to calculate an integral with a monte carlo simulation, after that I need to optimize the results with a control variate. This was the given integral: $\int_0^1 \! ...
1
vote
1answer
57 views

Is there any package in R for conditional autoregressive range model (CARR)?

I am working on a project which requires volatility estimation using range based volatility. Is there any package in R which helps me in estimating the CARR model proposed by Chou (2005).
0
votes
0answers
52 views

Need to know What is not available in RQuantlib

If we explore CRAN RQuantlib package it says The 'RQuantLib' package makes parts of 'QuantLib' accessible from R. When I tried the package I have found vanilla/some exotic options, fixed income ...
0
votes
0answers
17 views

Monte Carlo - Inflated Asset Paths Due to Correlation

I built a MC generator for 12 assets based on Brownian Motion and noticed some strange results. Formula Used S(t) = Exp(S(t-1) + (mean - (vol. / 2)) + (stdev * Normal Distribution #)) S(0) = Ln(1) ...
1
vote
1answer
120 views

Rblpapi / bdh - how to download prices for all weekdays - regardless if it is a bank holiday

Using bdh(), I am trying to download historic weekday prices regardless if the weekday is a holiday or not. The default does not return weekday bank holidays. The ...
0
votes
0answers
24 views

Quantifing quality of cointegration

I'm trying to replicate instrument which is untradable. My approach is analysis of cointegration between it and three another time series (four variables in model) which correlates with it. I found ...
0
votes
3answers
74 views

How to interpret negative log return more than -100%? [closed]

I'm doing some analysis on log returns and I notice that returns can exceed 100%. For example, if a security's close price \$1 today and \$10 yesterday, the log return is $ln(1) - ln(10) = -230\%$! ...
0
votes
0answers
17 views

Relation of survival and non-survival Marshall-Olkin copula

Let us have two random variables $A$ and $B$ representing lifetimes of two elements of a system, where $A$ has cdf $F_A(x)$, $A \sim Exp(\lambda_1 + \lambda_{12})$ and $B$ has cdf $F_B(y)$, $B \sim ...
3
votes
3answers
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 ...
1
vote
1answer
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 ...
3
votes
0answers
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 ...
0
votes
1answer
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 ...
4
votes
1answer
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 ...
1
vote
0answers
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 ...
3
votes
2answers
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 ...
2
votes
1answer
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. ...
1
vote
0answers
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 ...
1
vote
0answers
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, ...
1
vote
2answers
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 ...
1
vote
1answer
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 ...
2
votes
0answers
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 ...
0
votes
3answers
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 ...
2
votes
3answers
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 ...
1
vote
2answers
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, ...
0
votes
2answers
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 ...
2
votes
2answers
432 views

Ideas about Stochastic volatility models

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 ...
1
vote
2answers
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): ...
3
votes
0answers
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, ...
0
votes
1answer
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 ...
2
votes
0answers
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 ...
0
votes
0answers
44 views

Value at risk computation for a diffusion process

Given a hypothetical process $X_{t}$ defined by : $$ X_{t} = \int_0^t b_{s} ds + \int_0^t W_{s} ds + \sum_{i=1}^{N_{t}} \gamma_{T_{i}} Y_{i}$$ $ W_{t}$ is a standard brownian motion, $b_{t} ...
0
votes
0answers
570 views

How to think about dollar volume in Eurodollar futures?

This is a very basic question: Computing the notional volume for futures contracts usually consists of something like: $$V_F = N \cdot P \cdot M \cdot FX$$ Where $V_F$ is the dollar volume of the ...
0
votes
0answers
65 views

Why does graphic of log first difference of renminbi look similar to hkd?

This is CNY to US$: This is HKD to US$: Below are the log of the first difference of both graphs above: You can see that apparent similarity on the middle of graph. I thought that they were ...
3
votes
1answer
86 views

How to get Correlation using Options data?

I can calculate the "Implied Beta" using implied volatility for the option stock, and implied volatility for the market (VIX). Is there any way to calculate also the correlation without performing a ...
6
votes
1answer
164 views

High frequency trading and trading costs

What kind of deals do high frequency traders have with brokers or exchanges regarding commissions for stock trading? For an individual, it is nowadays possible to get to as low as 10 basis points per ...
0
votes
2answers
836 views

Orderbook Arbitrage

The order-books of trading exchanges are often hidden as so-called "Dark Pools". The measure was taken to avoid apparent market manipulation strategies executed by traders back then. Which such ...
1
vote
1answer
100 views

Is Value-at-Risk translation invariant?

Let: $X=V_1-V_0R_0$ where $R_0$ is the interest rate. Then, is it so that this risk measure is Translation Invariant as: ...
0
votes
1answer
57 views

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 ...
13
votes
7answers
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 ...
2
votes
2answers
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 ...
0
votes
0answers
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 ...
3
votes
6answers
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 ...
0
votes
1answer
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. ...
2
votes
1answer
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?
1
vote
0answers
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: ...
0
votes
0answers
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 ...
1
vote
0answers
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 = ...
1
vote
0answers
36 views

References about market neutral portfolios that isolate unsystematic risk

I am looking for references, information, backtests etc. about market neutral portfolios that go long the index and short stocks of that index with high unsystematic (idiosyncratic) risk. The idea is ...
7
votes
2answers
9k views

How to numerically obtain delta?

The delta in option pricing, also called the hedge ratio, is expressed as the sensitivity of the option price to the underlying price change. The analytical solution for the most common option ...

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