All Questions

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 ...
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
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 ...
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
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 ...
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
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 ...
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 ...
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
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 ...
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 ...
-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
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 ...
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 ...
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
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 ?
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 ...
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 + ...
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 ...
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 ...
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 ...
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 ...
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 ...
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
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 ...
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 ...
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
1answer
29 views

Understanding how to calculate tracking error

I have come across two ways of calculating Tracking Error (TE) but i'm not sure if they are essentially the same. The first way is to calculate the standard deviation of the difference between a ...
0
votes
2answers
14 views

Historical data resources for Indian market

What is the best source for historical EOD data for Indian stock market? The data from Yahoo finance for some companies is not up-to-date and Google finance doesn't provide adjusted close prices. What ...
0
votes
1answer
29 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 ...
2
votes
1answer
112 views

General way to solve Partial differential equation using Feynman kac representation

Consider the following PDE on interval [0,T] $\left(\frac{\partial F}{\partial t}(t,x)+\mu (t,x)\frac{\partial F}{\partial x}+\frac{1}{2}\sigma^2(t,x)\frac{\partial^2F}{\partial ...
2
votes
0answers
39 views

Inflation/Rates Correlation

I've been looking into a short piece of maths a colleague has written on pricing inflation with payment delays, and was hoping someone could confirm whether my understanding is correct, or if my ...
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 ...
1
vote
0answers
48 views

PerformanceAnalytics and Annual Charting

I have seen a charts that look's like Is it possible to do something like this with PerformanceAnalytics or is there any other package for doing this? Thanks in advance
1
vote
0answers
57 views

What machine learning method is more suitable for prediction of financial time series? [closed]

I have some time series from a stock exchange market. For each of them, I want to answer the question that whether the price will grow at least p percent in the d coming days or NOT(and during these ...
0
votes
0answers
20 views

Success of trendlines using dividend-adjusted vs un-adjusted data

I'm curious whether anybody has any experience with using trend lines drawn using data which is vs isn't adjusted for dividends. For periods of sideways trading that give roughly horizontal ...
-4
votes
0answers
37 views

Where can I find free historical market cap data? [duplicate]

I am looking to find free historical data for assorted companies listed on the TSX and TSX Venture. I can find daily closing prices (among a few other data fields) on Quandl, but I cannot find daily ...
0
votes
0answers
8 views

Source on pricing / valuation of trust preferred securities?

Is there a good source on pricing / valuation of trust preferred securities? I used GOOGLE, GOOGLE SCHOLAR and NEW YORK PUBLIC LIBRARY, but the results were meager. Found book Handbook of Hybrid ...
0
votes
0answers
9 views

Poisson Process [migrated]

I would appreciate a hint on this problem: A pedestrian wishes to cross a single lane of fast-moving traffic. Suppose the number of vehicles that have passed by time $t$ is a Poisson process of rate ...
0
votes
0answers
33 views

How do foreign banks get rid of USD? [closed]

If a foreign commercial bank in for example Denmark has built up a reserve of physical USD how can it get turn them into DKK? Will it normally sell its holdings to other banks or its central bank? How ...
0
votes
1answer
56 views

What is the formula for beta weighted delta and gamma?

I am trying to calculate the beta weighted delta and gamma for a portfolio of options of different underlying stocks, but I can't seem to find the correct formula. Can someone point me to it or a ...
-1
votes
0answers
38 views

How to price of weather derivatives using a Brownian Motion? [closed]

I'm currently doing research in the pricing of weather derivatives using the equation above. How to apply daily temperature data into the model? how do I use the model?
1
vote
2answers
100 views

What is the name of this product?

Consider the payoff =$S_T1_{S_T>K}$ where $S_T$ is the asset price at maturity. What is this type derivative called? and is it a liquid option?
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 ...
3
votes
2answers
77 views

Where can I find a list of VaR and CVaR formulas for continuous distributions?

Where can I find more VaR and CVaR formulas for continuous distributions? I collected a list here:

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