All Questions

2
votes
2answers
21 views

Calibration of a GBM - what should dt be?

I have a time series of daily data that I want to calibrate GBM parameters $\mu$ and $\sigma$ to. Using the discretized solution $$ S_{t_{i+1}} = S_{t_i}\exp\left(\left(\mu - ...
0
votes
1answer
7 views

References on callable bond's pricing

I am searching for references on pricing callable bonds. I've not find any rigorous mathematical approach on the web. All I found was some soft approaches in a discrete framework. Could someone ...
1
vote
1answer
152 views

What's the intuition behind DTS(duration times spread) in fixed income?

I am having some difficulty grasping the concept of using DTS to measure credit risk. In the equity world, one typical measure of risk is beta, which is quite well-defined as the exposure to a common ...
0
votes
0answers
13 views

Pricing defaltable binary option by hazard rate approach

I'm studding defaultable claims and I asked myself the question of pricing a digital payoff. Consider an option paying $1$ at maturity in case of non-default before maturity and if a given underlying ...
2
votes
3answers
173 views

Platform for Quantitative equity portfolio

What are the most popular platforms used for quantitative equity portfolio management/research? I've only used Barra so far for their factor models. Is there any specific feature or model you think ...
3
votes
1answer
144 views

Inflation-Linked Bonds & Asset Swap Spreads

I am trying to plot the asset swap spreads of government inflation-linked bonds (ILBs) versus the asset swap spread of government nominal (plain-vanilla) reference bonds. I used the article in the ...
0
votes
0answers
6 views

Option platforms providing eurex products

I search an option platform providing eurex products as eurostoxx 50. Can you advice me some platforms ? Thank you in advance for your answer Julien
2
votes
1answer
73 views

Text book or distilled guide to market making?

Are there any practical articles, blogs or books that describe common practices in market making and how to calculate and use common measures? The majority of the information I found are research ...
0
votes
1answer
60 views

Option Prices under the Heston Stochastic Volatility Model

I was wondering if anyone has come across a more straightforward derivation of the semi-closed form solution for the price of a european call under the Heston model than the one proposed by Heston ...
2
votes
0answers
20 views

How to exploit calendar arbitrage?

Say we are looking at European Call options in a toy environment with zero deterministic intereset rates, a stock paying no dividends, no repo rates etc. Let C(T,K) be the price of a call with expiry ...
6
votes
2answers
1k views

Beta vs. Implied Volatility statistical arbitrage using options

Let two underlyings, $S_{1}$ and $S_{2}$, are correlated and $\beta$ is the slope of their returns linear regression, that is, it says how much $S_{1}$ co-variates with $S_{2}$ variance. For ...
3
votes
1answer
38 views

How to calculate the Sharpe ratio for market neutral strategies?

Suppose I am long one stock and short an index in a ratio effectively making market beta as zero and I close the position with some positive P&L. How should I calculate the return for the ...
3
votes
1answer
36 views

What is the difference between asset management and wealth management?

What is the difference between this two concepts?
4
votes
2answers
45 views

What is an efficient method to find implied volatility?

I have a code that finds the implied volatility using the Newton-Raphson method. I set the number of trial to 1000 but sometimes it fails to converge and doesn't find the result. Is there a better ...
0
votes
1answer
15 views

How to compute annuity payment? [on hold]

I am trying to answer a question that I already know the answer to but I don't know how they got there. The question is: Your subscription to Consumer Reports is about to expire. You may renew it for ...
3
votes
1answer
169 views

Analysis of Unbalanced Covered Calls

Hello I am doing an analysis on covered calls with and extra amount of naked calls. Ignore the symbol and current macroeconomic events. I couldn't find any reference to this strategy (unbalanced is ...
1
vote
0answers
16 views

Is it important to equalize the minimum price fluctuation in pairs trading?

For example, suppose we were trading a strategy which buys one Brent contract and sells one Gasoil contract. The minimum price fluctuation for a Brent contract is \$10, and the minimum price ...
0
votes
1answer
20 views

Market Timing Performance for a single stock

It seems there are models that study the market timing ability of funds. Models such as the Treynor-Mazuy and Merton-Henriksson. One can also study the bull beta and compare it to a bear beta. My ...
7
votes
6answers
2k views

Best way to store hourly/daily options data for research purposes

There are quite a few discussions here about storage, but I can't find quite what I'm looking for. I'm in need to design a database to store (mostly) option data (strikes, premiums bid / ask, etc.). ...
0
votes
1answer
18 views

Equity Chart - design and granularity

I am looking to build a web based Equity chart to display performance of FX trading strategies. I would like to hear opinions and advice on a few areas that I am unsure about. Granularity Equity ...
0
votes
0answers
48 views

How to calculate returns of backtested strategy?

Lets say I have some strategy (long/short) backtested for certain period. Strategy has entries/exits only at the end of the day and may have overnight positions hold. Now I would like to compare ...
-1
votes
0answers
10 views

Where to find stock buybacks yields?

I am looking for stock buybacks yields at level of the main European indexes. For instance, what was the stock buyback yield on the FTSE 100 last year? Do you know where I can find this information?
0
votes
0answers
45 views

How to express the Black Derman & Toy Model in a $dr=A\,dt+B\, dW$ form?

The Black Derman & Toy (BDT) model is given by $$d(\ln\,r)=\left(\theta(t)-\frac {d(\ln\sigma(t))}{dt}\ln r\right)\,dt+\sigma(t) \, dW.$$ How can one rewrite the BDT model as $dr=A\,dt+B\, dW$, ...
1
vote
0answers
20 views

How to model the effect of earnings surprises on long-term returns?

I'm looking into modeling the relationship between EPS announcement surprises with long-term returns (1 quarter to 3 years with intervals). I've based my current methodology off papers looking at the ...
1
vote
1answer
197 views

Excel to Java for Interactive brokers

I have a working excel workbook connected to Interactive brokers DDE API. I am struggling to upgrade to a more robust environment like Java. I tried to change it to ActiveX for Excel but the ...
0
votes
0answers
5 views

asymptotic distribution of joint random variables [on hold]

I am trying to understand the asymptotic distribution of the following expression under normality $$ {\hat \sigma \hat S - \sigma S} $$ Where $\sigma$ and $S$ are the population standard deviation ...
0
votes
0answers
42 views

Calculating the efficient frontier from expected returns and SD

I'm trying to calculate the efficient frontier (and the optimal portfolio at the Sharpe ratio) given two vectors for a portfolio: (1) expected returns and (2) historical standard deviations. I would ...
3
votes
1answer
79 views

Ito integrals and copulas

Let $X_{t}$ and $Y_{t}$ be two brownian motions and let their joint distribution be given by $F$. So in regularly correlated BM's where $dX_{t}dY_{t}=\rho dt$, we have a bivariate normal distribution ...
0
votes
1answer
62 views

Moneyness and option prices

I'm attaching stock prices from CRSP to a dataset of option prices in order to compute the option moneyness. I'm wondering whether I should adjust the underlying prices taking into account splits and ...
3
votes
1answer
73 views

SABR calibration: simple explanation and implementation

I would like to learn more about the SABR model and ho it is used in modeling smiles in equity, FX and rates markets. How would you explain the process and its implementation in simple steps? Any web ...
0
votes
0answers
25 views

How trading in currency pair works, underlying techniques and mechanisms

I am somewhat experienced in Forex trading, but I have a question which has bothered me for quite some time. If we for instance go back in time four months, to before the beginning of value loss the ...
0
votes
0answers
30 views

Pricing inflation lags

I've been looking into a short piece of maths I found on pricing inflation with payment delays, and was hoping someone could confirm whether my understanding was correct or if the maths isn't quite ...
0
votes
0answers
11 views

What is a convertible bond swap? [on hold]

What is a convertible bond swap and how it is used in hedging ?
2
votes
1answer
27 views

Variability in the Expected Shortfall estimator

Are there any results for calculating the variability in the Expected Shortfall measure. I am looking for Large sample confidence intervals under Normality for Expected Shortfall or calculation of ...
2
votes
1answer
71 views

How to get Black Scholes' Geometric Brownian Motion differential form form the closed form?

My instructor has mostly self contained notes, where our textbook is mostly a reference. She has it written that: $$S_t = S_0e^{(\mu - \frac{\sigma^2}{2})t + \sigma W_t} \iff dS_t = S_t(\mu dt + ...
1
vote
1answer
47 views

Why interest rate future does not support fed policy on reducing assets buying?

Using the 3-mon eurodollar interest rate futures, I construct a yield curve each year for 2015-2021 using sampling date from the end of the month. If you graphed this out, you would see that the ...
0
votes
1answer
59 views

How is USGG10Y (or any tenor) constructed?

I was wondering how the yield curve for US treasuries are constructed (ex. USGG10Y, USGG5Y, etc.). How to compute for it exactly (what deals/quotes are included in it, what financial institutions are ...
0
votes
3answers
107 views

What makes investors risk averse?

There are some regularly-occuring events that coincide with a rise in the implied volatility of an asset. For example, in advance of an firm's annual earnings report, it is typically expensive to buy ...
0
votes
0answers
22 views

Portfolio Optimization using S&P Universes

Assuming a set portfolio optimization problem, if all optimization inputs are kept constant, what would you expect, in terms of results, if you run the same optimization using the S&P500 as ...
2
votes
2answers
136 views

What would be considered a good/competitive throughput for a FIX engine?

I am writing my own FIX engine and I am in the process of running some benchmarks. I am not sure whether my results are good or bad. Can someone with experience in the area provide me with some ...
1
vote
1answer
161 views

ex ante tracking error correlation between funds

I have two portfolio's called Comb & Global. They both have the same investable universe lets says 3000 stocks & are measured against the same benchmark. So it is possible that both funds hold ...
0
votes
0answers
35 views

Arbitrage-free market for continuous distribution?

Is it true, that a one-period market say $(0,t)$ is arbitrage-free if $S_t$ is continuously distributed on $\mathbb{R}$? I.e., for continuous distributions on $\mathbb{R}$, there always exists a ...
2
votes
1answer
80 views

How literature come up with risk-neutrality problem, considering that market is not really risk-neutral?

I am searching on real-option pricing deficiencies to encounter risk-neutrality. As we know risk-neutrality assumption, is not hold in real situations. The problem is that I could not classified ...
4
votes
3answers
138 views

How is stock data objectively different to this random walk?

I have a random walk that is generated as so using python, numpy, and matplotlib ...
0
votes
3answers
161 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 ...
0
votes
0answers
20 views

Duration calculation for perpetuity with continuous compounding

Let's say we have a continuously compounded perpetuity. Does macaulay duration = modified duration? I've read from wikipedia for Bond Duration that macaulay duration = modified duration for ...
1
vote
2answers
103 views

Build a customizable trading engine in python [on hold]

I am planning building fully customizable backtesting trading engine in python from scratch as a open source project, the main features i am considering is, It should be fully customizable from ...
3
votes
1answer
99 views

Statistical arbitrage using eigen portfolios

I was trying to understand below paper https://www.math.nyu.edu/faculty/avellane/AvellanedaLeeStatArb071108.pdf Page 20 explains about "Entering a trade". I wan't to know clearly what it means to ...
2
votes
2answers
95 views

Uniqueness of equivalent martingale measure in Black Scholes-Model

Let's consider standard Black-Scholes model with price process $S_t$ satisfying SDE $$dS_t = S_t(bdt + \sigma dB_t)$$, where $B_t$ is standard Brownian Motion for probability $\mathbb{P}$. I ...
0
votes
0answers
14 views

Incompatibility of Lognormal Forward Model (LMM\BGM) and Lognormal Swap Model

In his paper On the distributional distance between the Libor and the Swap market models (and also in his book about IR modeling) D.Brigo says: 10, 11, 12 are defined in the end of message. Do I ...

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