1
vote
3answers
177 views

Is an economy where money yields interest able to be sustainable and healthy? If yes, how?

There are two points that concern me Loans If someone takes a loan of let's say 1000\$, he has to pay back the money with 5% interest, i. e. 1050\$. But where do the 50\$ come from? They didn't ...
-3
votes
0answers
21 views

Modelling portfolio of stocks [on hold]

Olaker did not understand my original question thus it is rephrased. I have a portfolio containing N stocks. N may be very small (2 or 3) or larger (25) but in general N is not expected over 30. ...
1
vote
2answers
41 views

Opposite of Tail-Risk Hedge (Established Vocabulary)

I'm working on a client memo explaining several approaches to equity hedging, and I'm looking for a not-too-technical term for a hedging strategy where I try to keep options near the money, as to have ...
1
vote
1answer
35 views

Company rank within an industry

I'm looking at the list of companies in the S&P 500 Pure Value Index. For each firm, I want to obtain the dividend yield industry percentile rank and the PEG ratio industry percentile rank. I've ...
1
vote
1answer
29 views

is there an accepted method for quantifying risk of inaccuracy of nascent trm systems?

Have a somewhat meta question here. I am part of a trading risk management implementation project. I also manage day to day risk reporting to management and the trading desks. Our implementation was ...
4
votes
4answers
1k views

Fastest algorithm for calculating retrospective maximum drawdown

Simple question - what would be the fastest algorithm for calculating retrospective maximum drawdown ? I've found some interesting talks but I was wondering what people thought of this question here. ...
5
votes
1answer
167 views

Pricing options under restricted domain

How would I price an option when the underlying security is unable to trade above a certain price? I assumed this would be as simple as restricting the limits of integration of the PDF to B (the ...
2
votes
0answers
13 views

Fitting stochastic variance distributions to index return data

I want to calculate option prices based on a realistic distribution of the underlying. The underlying is a liquid index such as Eurostoxx50. I think of two aproaches, both of them incorporate ...
3
votes
1answer
80 views

How to find optimal look back in quant trading models

I'm in the process of building a quantitative trading model, I want to improve on the way in which I decide upon a look back length for the indicators. I understand the different pros/cons for very ...
3
votes
4answers
141 views

What happens when bond price is less than the recovery rate

I am simulating various price path of bonds, and one issue that came up is the recovery rate. When a bond defaults, the amount you get back recovery rate * principle. This creates a problem if the ...
0
votes
0answers
43 views

Should I analyze the tick data day by day?

Let assume that we have one month of tick data which were traded at NYSE. We want to model the price changes as a function of the last p lags of price changes and the last q lags of the time duration ...
1
vote
1answer
47 views

forward vs spot simply-compounded spot interest rate

Question about forward vs spot simply-compounded spot interest rate.Some definitions $P(a,b)$ a zero coupond price at time $a$ and maturity $b$ $L(a,b)$ simply compounded spot interest rate set at ...
0
votes
0answers
41 views

where to find historical option prices?

I have a dataset of options (traded in European exchanges such as NYSE Euronext) and I would like to find their price history. Where to find it? I see that ...
0
votes
0answers
22 views

Heding foreign stocks with futures. the return? [on hold]

I am a euro guy and wants to invest in a us stock. I want to hedge it through currency futures. can you tell me what is the hedged return and unhedged return ? let us assume $S(t-1)$ is the stock ...
3
votes
1answer
85 views

How to price a Swing Option?

I'm working in the commodity market and I've to price Swing Options with MATLAB, preferably with finite element. Has anyone already priced these kind of derivatives? I'm thinking about using the ...
3
votes
3answers
208 views

selecting test data for neural networks

I have been working on a neural network based on certain technical indicators. As people familiar with neural networks would know after developing a hypothesis, the developer is also supposed to ...
1
vote
1answer
76 views

Discount rate, convertible debt and the effect of time

The way I understand it is that there are three main parameters to a convertible debt investment. An investment amount A discount rate A trigger event Now under most of the examples I have seen, ...
3
votes
1answer
87 views

questions on VAR manipulation

The book of Financial Risk forecasting by Danielsson gives the following example about VAR manipulation. I have two questions: 1) If $0> VAR_1 > VAR_0$ , why the following figure plots it as ...
1
vote
1answer
45 views

reference question about portfolio optimization

I know the "classical" modern portfolio theory. However I have quite a lot of different sources. It seems that there is not a book which cover this topic in a rigorous way: theory application ...
0
votes
1answer
54 views

Intermarket analysis - related time series?

I'm about to embark on training a neural network on daily forex data, with a view to obtaining a predictive network. I'm also interested in using data other than the forex currency pair data itself, ...
2
votes
2answers
144 views

What are the proper metrics to look at for checking discrepancies in these two time series

I am obtaining bid/ask price and volume market data from two different sources for the same ticker and for the same day and checking to see that at time intervals X they are "roughly the same". The ...
4
votes
0answers
47 views

Some clarifications on eigenvectors and eigenvalues from PCA

Could somebody tell me whether suggestions in bold true or not? Q # 1: http://www.math.nyu.edu/faculty/avellane/AvellanedaLeeStatArb071108.pdf ...
19
votes
8answers
3k views

Excellent information source on advanced machine learning / data mining based trading?

I did check the related posts, like this one here. However, given if one already has knowledge in finance, machine learning and statistics, and wants to know something more advanced on machine ...
47
votes
10answers
30k views

How can I go about applying machine learning algorithms to stock markets?

I am not very sure, if this question fits in here. I have recently begun, reading and learning about machine learning. Can someone throw some light onto how to go about it or rather can anyone share ...
3
votes
3answers
289 views

How to deal with extreme cases in normal random numbers generation?

In order to generate normal random numbers, one usually generates random numbers following a uniform distribution $Z \sim \mathcal{U}(0,1)$ and then applies the reverse CDF function on them ...
3
votes
3answers
58 views

What are the implication of a negative risk-free rate on SML?

What happens to the Security market line (within the CAPM model) when the risk-free rate turns negative?
1
vote
1answer
106 views

What is the intuition behind the fact that Modified duration = Macaulay Duration / (1+r)?

I understand the derivation of both:take dP/dR and divide by P which will give you both 1) modified duration OR 2) macaulay duration / (1+r) (notice the weighted average time built into the ...
5
votes
1answer
336 views

Testing the validity of a factor model for stock returns

Consider the following m regression equation system: $$r^i = X^i \beta^i + \epsilon^i \;\;\; \text{for} \;i=1,2,3,..,n$$ where $r^i$ is a $(T\times 1)$ vector of the T observations of the dependent ...
10
votes
1answer
240 views

Which interest rate model for which product

Given the multitude of existing interest rate models (ranging from simple to very complex) it would be interesting to know when the additional complexity actually makes sense. The models I have in ...
0
votes
2answers
139 views

Use of geometric mean for average return of several indices

Can anyone give any reference for using the geometric mean to average the returns from several indices? Note, this question is not about the usual use of geometric mean to obtain the average return ...
0
votes
2answers
45 views

Infinite autocorrelation - Unit root?

I have a time series of gold prices, on which I want to build an ARIMA model. The series is autocorrelated and if I can difference as often as I want, it always is. First: data: d1gold Dickey-Fuller ...
2
votes
2answers
151 views

SVCJ (SVJJ) Duffie et. al Model implementation in Matlab

I'm attempting to implement aforementioned SVCJ model by Duffie et al in MATLAB. so far without success. It's supposed to price vanilla (european) calls . parameters provided, the expected price is: ...
0
votes
2answers
58 views

How is the price of a bond actually determined?

How the price of a bond is actually determined? Is it the supply-demand that determines the price first and then the YTM is calculated on the back of this for that bond. Or is it that the changes to ...
0
votes
2answers
91 views

Historic Value at Risk - Ratios vs. Differences

Quick Summary on Historic VaR Let $S_0,...,S_n$ be the daily values of some stock (where $S_0$ is the current value). Then for $i=1,\ldots,n$ we let $$\hat r_i:=S_{i-1}/S_i \quad \text{and}\quad \hat ...
1
vote
1answer
194 views

How to get Geometric Brownian Motion's closed-form solution in Black-Scholes model?

The Black Scholes model assumes the following dynamics for the underlying, well known as the Geometric Brownian Motion: $$dS_t=S_t(\mu dt+\sigma dW_t)$$ Then the solution is given: ...
0
votes
0answers
62 views

plotting High Frequency finance data using quantmod [on hold]

Hi I have data in XTS format like this ...
1
vote
3answers
220 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 ...
2
votes
2answers
3k views

Risk Parity portfolio construction

If I would like to construct a fully invested long only portfolio with two asset classes (Bonds $B$ and Stocks $S$) based on the concept of 'risk parity' the weights $W$ of my portfolio would be the ...
2
votes
0answers
39 views

Comparison of multicurve calibration methods

It seems that there are mayor softwares around offering a multicurve framework based on bootstrap. I find this puzzling nowadays, given the distinct advantages of best-fit optimization methods and ...
5
votes
1answer
136 views

Worked examples of applying Ito's lemma

In most textbooks Ito's lemma is derived (on different levels of technicality depending on the intended audience) and then only the classic examples of Geometric Brownian motion and the Black-Scholes ...
7
votes
4answers
150 views

Does Modern Portfolio Theory align with EMH?

I came to the conclusion that in literature Markowitz' Portfolio Theory is believed to be compliant with the Efficient Market Hypothesis. The weakest form states that the current price fully ...
1
vote
2answers
83 views

Pricing Principle 1

In Tomas Björk's Arbitrage Theory in Continuous Time (or here), $\exists$ this Pricing Principle. Is the one in red supposed to be the proof of the Pricing Principle 1? Or merely an intuitive ...
1
vote
3answers
58 views

Arbitrage free implies complete market?

In Tomas Björk's Arbitrage Theory in Continuous Time (or here), $\exists$ this proposition It seems that to show that the model is complete, we must show that the claims are reachable. That is, we ...
-1
votes
2answers
186 views

How to compute $\mathbb{E} \left[ (W_s + W_t - 2W_0)^2 \right]$?

The solution to the SDE $$dx_t= -kx_t dt + cx_t dW_t$$ is $$x_t = x_0 e^{\left(c - \frac{k^2}{2} \right)t}e^{-k W_t}$$ with mean $$\mathbb{E} \left[ x_t \right] = x_0 e^{\left(c - ...
0
votes
0answers
24 views

How does the Bitcoin forex work? [migrated]

Does it work differently in relation to a regular forex because of its underlying technology? How can the market calculate its value?
1
vote
0answers
33 views

Questions related to the banking crisis during the European sovereign debt crisis

I am studying the European Sovereign Debt crisis and I have the following questions which I am struggling to find examples for: 1) I have heard that during the sovereign debt crisis, European ...
2
votes
2answers
115 views

How to work out weights for a portfolio based on an inverse ratio with positive and negative values?

I am trying to work out how to determine weights for the assets in order to form a portfolio. The ratio I am using is EV/EBIT, hence the smaller the better. The problem is I don't know how to handle ...
0
votes
2answers
70 views

How can I calculate Fama-French betas for a particular stock?

For a particular stock, what's the simplest way to calculate betas for the Fama-French factors SMB and HML?
0
votes
0answers
18 views

Finding Trailing Twelve Months on a month between two quarterly reporting periods [closed]

I can clearly understand the concept of Trailing Twelve Months or TTM. However i always had a missing piece on fully understanding TTM. e.g If we have a corporation that reports on March(Q1), ...
0
votes
1answer
44 views

Calculate bond yield in python

I want to run the newton method on a large dataset to calculate bond yield. Below is the code I created using a loop. I need to run it on ~50 million lines and the loop is quite unwieldy. Is there a ...

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