3
votes
4answers
210 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
115 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 ...
4
votes
0answers
102 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 ...
1
vote
1answer
78 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 ...
4
votes
4answers
353 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 ...
1
vote
2answers
61 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 ...
7
votes
1answer
208 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 ...
1
vote
1answer
261 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: ...
2
votes
1answer
73 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
408 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 ...
1
vote
0answers
39 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 ...
7
votes
4answers
229 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 ...
0
votes
2answers
108 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 ...
0
votes
1answer
130 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 ...
0
votes
2answers
106 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 ...
1
vote
3answers
468 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
3answers
186 views

Handling Missing values in stocks returns when estimating the co variance matrix

What is the best way to handle missing values when stocks did not exist for the entire historical period?.
1
vote
3answers
103 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
vote
2answers
102 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 ...
0
votes
0answers
53 views

forecasting crash time of KLSE index (1991-1994)

Price deviation = financial bubbles. i try to fit the following stock price index to predict recession. I couldn't fit the model with the data(Data are not available in yahoo finance for the ...
2
votes
1answer
149 views

ETFs have lower tracking error than Futures?

I used the daily returns of SPX Index, SPY US Equity, and SPA Index. I then calculate their standard deviation as hedging instruments with respect to SPX Index, i.e., (spx_ret - spy_ret) or (spx_ret - ...
2
votes
2answers
129 views

Logic behind Gordon Growth Model in a DCF analysis?

Sorry, I wanted to ask this on the finance/money forum, but they don't support LaTeX there. Let's say we are valuing a company using the DCF methodology with a 5-year projection period. We project ...
2
votes
2answers
216 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
0answers
63 views

How to construct a deterministic trading model based on a loess (local regression) model?

Given data that has been fit to a loess model, can you make reliable decisions on future trades given a good past fit? Has anyone here done so and can give an example of their use case? I am yet to ...
0
votes
1answer
27 views

(Purchased) terminology on Net Preferred Equity Issued

I understand what we mean when we say: Net Preferred Equity Issued it is the total amount of Preffered Stocks plus their price. But does the chart mean when it says (Purchased)? What other can it be? ...
-1
votes
1answer
39 views

Difference between Total Long Term Debt and Net Total Long Term Debt

What is the difference between Total Long Term Debt and Net Total Long Term Debt? Below you can see a picture revealing that they are not equal.
1
vote
3answers
52 views

Interpretation of equation derived from the delta of a call European call option

I have started reading an introductory book called: A Course in Derivative Securities by Kerry Back. On page 12 they mention the following: The delta of the call option is $\delta = (C_{u} - C_{d}) / ...
1
vote
2answers
178 views

Sharpe Ratio - my own calculation differs from Yahoo finance, Morningstar

I am trying to compute the Sharpe ratio for my portfolio. To check that I am doing this correctly, I am first trying to compute it for SPY (the S&P 500 index). ...
0
votes
1answer
84 views

why people want to get a continuous time series from futures data?

So for the backtesting , is it necessary to make an adjustment for the last day of the current contract and the first day of the next far contract? Even if there's is a gap, that's the actual price, u ...
1
vote
0answers
61 views

Max Likelihood via Marquardt Optimisation

I asked a related question here: How to apply Levenberg Marquardt to Max Likelihood Estimation I tried the approach suggested it works for some of the parameters but not the variances. I spoke to ...
0
votes
1answer
146 views

How to get permanently growing chart within PCA

I looked onto different questions and answers about application of PCA on this site and found this interesting article : ...
0
votes
2answers
172 views

Technical analysis in Python - source of knowledge

I did my best, but I could not find answer for this one - is there any good and in-depth source of knowledge about using Python for technical analysis ? Obviously, there are plenty of tutorials, blogs ...
9
votes
2answers
1k views

Why Ito calculus?

Coming from physics, I am used to the fact that the Ito interpretation of most natural stochastic equations is wrong, and one should be using Stratonovich calculus instead (of course they are ...
0
votes
2answers
46 views

Break down XIRR to different segments

Currently, I have the following transactions. ...
2
votes
1answer
98 views

Where can I buy historic raw order by order data for Euronext market?

I cannot find any vendor that sell the full depth order by order data historically. I called Euronext and for some sick reason they "have the data" but "do not sell it". Do you guys know where I can ...
3
votes
3answers
132 views

Martingale Stock Prices

In http://www.principlesofforecasting.com/files/pdf/Granger-stockmarket.pdf Granger makes survey of some arguments. In section I there are two hypothesis H01, and H02. H01: Stock prices are a ...
1
vote
1answer
73 views

Prove that the binomial algorithm implies the arbitrage free price at t=0 of a T-claim

In Tomas Bjork's Arbitrage Theory in Continuous Time (or here), $\exists$ these propositions How does the first formula follow from from the algorithm? I get that $\Pi(0;X) = V_0(0)$, but I don't ...
2
votes
1answer
100 views

How to see the impact of one variable on a set of other variables?

Editing my question: I have decided to use multiple factor model to model my stress test. I am using factor shock method to implement the propagation of shocks. I am doing this according to a book ...
3
votes
1answer
351 views

How popular is the Linear Gauss Markov (LGM) model?

Some friends recommend to me Linear Gauss Markov model, saying it's interesting to have a look at it. Basically it's a framework different from HJM, with potential to extend, and the merit is that ...
1
vote
1answer
190 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 ...
4
votes
1answer
128 views

Option based portfolio insurance in practice

My question is about option based portfolio insurance in practice. Some insurance companies offer products where there is a mutual fund (equity and bonds) and a guarantee attached. This guarantee is ...
2
votes
1answer
88 views

Correlation of asset to portfolio, given certain variables

Ultimately I'm trying to calculate stdev contribution, but I've hit a hurdle. What I have: 20x20 correlation matrix for various assets Standard deviations for each asset Returns for each asset ...
1
vote
1answer
54 views

How to benchmark bonds?

I am trying to find for each european bond in my database a proper Benchmark to compare them with the Bloomberg benchmarks for bonds. What i have done so far is to extract a list of all government ...
0
votes
0answers
63 views

Correlating random numbers seems to skew the data

First off, apologies for the cross-post from mathematics, but I found this site later and think it would be a better fit for the question (besides, there has been no comments/answers on mathematics ...
0
votes
1answer
103 views

How to projectP&L or drawdowns on pair trading , trading and portfolios?

This is for planning and risk management. I am stuck on the following thoughts - Back-test the trading strategy for a period similar to the one you expect and then project. Do the above using ...
0
votes
0answers
71 views

Why use the E-curve as an interest rate benchmark?

EDSF or Eurodollar synthetic forward curve is used as an interest rate benchmark. Why? When should I use the EDSF "E-curve"? Any references would be extremely helpful.
0
votes
1answer
55 views

Is there any relationship between investment return of a stock, for individual year (Yearly return) and multiple years (Overall annualized return)

currently, I'm calculating the return of a stock, for individual year and multiple years. I tend to answer the following question. Return of a stock for end of year 2010 (Individual year) Return of ...
3
votes
3answers
203 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
0answers
65 views

robust regions in grid search

I have a strategy f that takes parameters x,y (for x,y taking values in integer ranges). I get two grids (of returns and volatility values) from computing f(xi,yi) for integer ranges x1 <= xi <= ...
1
vote
0answers
62 views

How to convert HJM model risk-neutral measure $\mathbb{Q}$ to real measure $\mathbb{P}$?

HJM model, $df(t,T) = \mu(t,T) dt + \xi (t, T)dW(t)$, is defined in risk-neutral measure $\mathbb{Q}$, according to Brigo's "Interest Rate Models" book. I wonder, how could I transform it to real ...

15 30 50 per page