2
votes
0answers
118 views

Identifiability of a state space model (Dynamic Linear Model)

Take a general linear Gaussian state space model (SSM)(aka Dynamic Linear Model DLM): $X_{t+1}=FX_t + V_t$ $Y=HX_t+W_t$ $V_t \sim N(0,Q)$ $W_t \sim N(0,R)$ I am interested in the ...
2
votes
0answers
92 views

Problem with Naive Bootstrapping (US Government Bonds)

I am using the formula here to determine the discount factor function and eventually the zero-coupon yields. I get the data for Coupons, Face Values and Closing Prices from Thomson Reuters, which I ...
2
votes
0answers
56 views

Time discretisations, FDM vs FEM

I am interested in adaptive mesh methods for numerical solution of PDEs with applications to finance. As part of a school project, I have been pricing vanilla European call and put options using 2D ...
2
votes
0answers
105 views

Can you tell me what this RBloomberg formula means?

I've been asked to re-create a spreadsheet that used RBloomberg using a different data source. But I'm having trouble figuring out exactly what one of the spreadsheet's formulas does. Can anyone tell ...
2
votes
0answers
52 views

replicating strategy three step binomial

I am having some trouble setting up a replicating strategy for a call option with a three step binomial model (discrete). I have no trouble doing this in a two step binomial model by backward ...
2
votes
0answers
268 views

GARCH modelling and forecasting

I have a few questions regarding GARCH modelling and forecasting and it would be great if someone could help me. I am modelling the log return of oil spot prices using various GARCH models: GARCH, ...
2
votes
0answers
127 views

Multivariate Itô's lemma

Hey guys I'm looking for worked examples who show how to apply Itô's lemma in several variables, starting from the very basics. Thank you in advance!
2
votes
0answers
64 views

Variance of a stochastic integral

Ok guys, I'm new to stochastic calculus and I did an exercise that I don't know if it is correct, so I need somebody with more experience to check if it is true. Compute the variance of the R.V. ...
2
votes
0answers
54 views

Bond yield: is it martingale with respect to risk-neutral probability measure of some numeraire?

Let $t$ mean current time, let $T_0, T_n$ mean two times such that $T_0\le T_n$, and let $y_t[T_0, T_n]$ mean the forward swap rate of a swap starting at $T_0$ and ending at $T_n$. (I am ignoring ...
2
votes
0answers
49 views

Value-at-Risk Calculation with respect to the Capital Requirements

I want to calculate the Value-at-Risk at date $t$ in such a way that I minimize the capital requirements given as \begin{align} \text{CR}_{\,t+1\,:\,t+250} = \sum_{h=0}^{249}\max\left( ...
2
votes
0answers
48 views

Show that in an arbitrage-free and non-redundant market a certain set is compact

Some notation: We consider a financial market with $d+1$ assets, the $0$-th asset is considered the risk-free asset, the others are the risky ones. The vector $\overline \pi \in \mathbb R^{d+1}$ ...
2
votes
0answers
33 views

Budget Constraint in Duffie's book

On Page 5 of Duffie's Dynamic Asset Pricing Theory, the budget-feasible set is defined as: $$X(q,e) = {e+D^T\theta \in R_+^s:\theta \in R^N, q\theta \leq 0}$$ Compared to Kerry Back's presentation of ...
2
votes
0answers
143 views

Modeling market sentiment and pricing options by volume, open interest

Are there any empirically-proven methods/formulas for weighting IV surfaces, pricing a discount/premium in an option, and/or adjusting any of the 1st- or 2nd-order Greeks for the magnitude (volume or ...
2
votes
0answers
190 views

Modified duration in multi-currency portfolio

I was thinking about how to figure aut duration for portfolio of bonds denominated in different currencies… I would like to compare sensitivity of portfolio to shift of yield with competitive ...
2
votes
0answers
45 views

Time between end of use of ticker symbol by one company and beginning of use by another?

I have a CRSP stock dataset that goes up to december 2013. I'm trying to append yahoo finance data to it in order to bring it up to the current day. However, there are ticker symbols that once ...
2
votes
0answers
107 views

forecasting trading costs with end of day data

I am trying to create a model that forecasts trading costs (using end of day data, so no intra day data). My trading cost (also called Implemented Shortfall (IS) is defined as such for a single stock, ...
2
votes
0answers
85 views

How to calibrate volatility surface for Interest Rate Cap&Floor pricing

I'm using Black model to do interest rate Cap & Floor pricing. The volatility is determined by using the bootstrapping methodology. However, afterwards, how should I do the calibration, or ...
2
votes
0answers
101 views

Calibration of Heston version of CIR

I'd like to calibrate a variant of Heston model for interest rates which is describe by this couple of SDE \begin{aligned}dr_t&=a(b-r_t)+\sqrt{r_t}\sigma_t dW_t^1 \\ ...
2
votes
0answers
112 views

Empirical distribution function of overlapping time series data

If we model asset return volatility for periods of more than one (say more than one day) there is the square-root rule which holds true under some assumptions. The situation is more tricky if we look ...
2
votes
0answers
29 views

What does it mean to change the currency of a spread between bonds from 2 different countries?

On reuters I charted the spread between the 10yr US bond and the 10yr UK bond. It gives the me the option of choosing the currency. For just the standard spread(ie: yield(US)-yield(UK)) you select ...
2
votes
0answers
73 views

Why do leveraged and inverse leveraged WTI ETNs have this price relationship?

UWTI: 3x leveraged exposure to WTI DWTI: 3x leveraged inverse exposure to WTI The inverse relationship between these two symbols seems to trend toward the origin on a log-log plot (using log base ...
2
votes
0answers
83 views

Intraday versus daily volatility in slippage estimation

On page 21 of http://www.cims.nyu.edu/~almgren/papers/costestim.pdf Almgren has the formula $\displaystyle{\text{Slippage} = ...
2
votes
0answers
128 views

How can I do a dynamic GARCH model using extended Kalman filter in R?

Today I was reading an article quoted here, in this article is proposed an adaptive (dynamic) Garch model. How can I do it in R? The use of extended Kalman filter or particle filter is indifferent. I ...
2
votes
0answers
46 views

Charting order depth over time periods

I do a lot of analysis on order flow, tape reading, as it gives insight into what market participants want, or may be willing to do. In comparison, price charts show what happened, and technical ...
2
votes
0answers
771 views

Downloading high-frequency data: S&P 500

can I ask you where am I doing something wrong when downloading high-frequency (5-min) S&P 500 data ("USA500.IDX") from https://www.dukascopy.com/swiss/english/marketwatch/historical/ and when ...
2
votes
0answers
73 views

How to Handle Error in SEC Filings

Sometimes I see obvious errors in the 10-K or 10-Q filings that appear to go uncorrected in subsequent filings for the same period. For example, on June 9, 2014 Apple, Inc. did a 7-to-1 stock split. ...
2
votes
0answers
133 views

Calibration of Hull White One factor model in F.C.Park paper

I want to ask a question with reference to a paper from below link http://www.cmpr.co.kr/asset/research_material/implementing_interest_rate_models.pdf Minimization specified in Page 14: Mean ...
2
votes
0answers
99 views

Finding relative price strength as defined in CANSLIM stock picking methodology

I am wondering if there is any website that provides relative price strength as is defined in CAN SLIM stock picking methodology. For the CAN SLIM difinition I am looking at this article: ...
2
votes
0answers
113 views

Non-Negative Matrix Factorization - Estimating the Mean

How do you estimate the mean in a Non-Negative Matrix Factorization framework? It is obvious and well known how to estimate the covariance matrix, how ever I also need the estimated mean. I'm ...
2
votes
0answers
127 views

Is Geometric Brownian Model suitable for long term price forecast?

I was thinking of using Geometric Brownian Motion to forecast future prices of timber (say one variable, the stumpage price of sawtimber). I tested the time series with Augmented Dickey-Fuller test ...
2
votes
0answers
40 views

Portfolio optimised for diversification and regular yield. How to hedge?

Here is a portfolio optimisation for equity dividend and yield designed to diversify holdings and produce regular monthly returns using only ETFs complete with R code. ...
2
votes
0answers
142 views

Why random walk Metropolis Hasting algorithm works bad on GARCH(1,1) parameters estimation

I am trying to estimate the parameters of the GARCH(1,1) model with MCMC method, firstly, I read the paper: http://mpra.ub.uni-muenchen.de/12985/1/MPRA_paper_12985.pdf Metropolis Hasting method is ...
2
votes
0answers
273 views

what is the definition of resetting tenor and time to maturity tenor in libor rates

I have a question about the definition and understanding of libor rates. We have the time to maturity tenor, $T$, which is the time over which i borrow or lend money. For libor we also have the reset ...
2
votes
0answers
24 views

Non-overlapping ranges of HCNN' observables and of state transition function

In the artcicle Forecasting and Trading the High-Low Range of Stocks and ETFs with Neural Networks HCNN is used for forecasting of nine time-series, namely: returns of the lows returns of the highs ...
2
votes
0answers
43 views

What is the the correct treatment while short for the cash in lieu of a reverse split?

Long case: Assume I am Long 50 shares and there is a 2 for 3 reverse split. Let's denote the quantity of stock by x Prior to the split Portfolio is $-cash_0$ $+50x$ I am then at $-cash_0 +33x ...
2
votes
0answers
165 views

Are there any software libraries for backtesting FX algorithms against tick data?

I've read question, however it doesn't appear as if any of those libraries work for FX data. A Google search for python forex backtesting turns up this project, ...
2
votes
0answers
40 views

Life annuity and the use of Gompertz-Makeham

The question goes as follows: Consider a life annuity contract that pays the holder a yearly fixed amount from a certain time until the death of the holder of the contract. (a) Suppose ...
2
votes
0answers
137 views

Ibrokers: reqMktData extremely slow when adding tickers

I am trying to snap prices in R for the latest price for a list of stocks (around 150). When I snap them for 2 stocks, it's almost instantaneous: ...
2
votes
0answers
71 views

How to compare market values with model values after calibration?

After calibration the G2++ model for interest (with swaption volatilities), I want to statistically test the quality of the calibration by comparing market to model values. What is the best way to ...
2
votes
0answers
58 views

Sharpe Ratio for loans

I am trying to calculate the sharpe ratio for a set of loans. These loans have already matured and I know if they were good or not: grades are the different grades of the loans. interest rate is the ...
2
votes
0answers
57 views

suitable benchmark to use for Sharpe ratio of power trading strategy

I have a algo which is trading a certain power contract. For calculating the Sharpe ration what would be a suitable benchmark to use?
2
votes
0answers
79 views

Adjusting for your own orders in future backtests

I was asked this question in an interview and despite thinking about it for a while, I haven't been able to come up with a good answer. Suppose you have a strategy you are running where at certain ...
2
votes
0answers
186 views

Stationarity tests in the frequency domain for regression

Strict stationarity is the strongest form of stationarity. It means that the joint statistical distribution of any collection of the time series variates never depends on time. So, the mean, variance ...
2
votes
0answers
111 views

Dummy variable and negative estimation in GARCH (1.1)

I am trying to use GARCH model for my research. However, when I am running them, I see negative value for alpha and beta. How I can restrict them so that they do not provide me any negative value. Is ...
2
votes
0answers
158 views

PDE and Black Scholes problem

Consider Black Scholes problem $\frac{\partial V}{\partial t} + \frac{\sigma^2 S^2}{2}\frac{\partial^2V}{\partial S^2} + rS\frac{\partial V}{\partial S} -rV = 0$ with boundary condition $V(S,T)=f(S)$, ...
2
votes
0answers
72 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 ...
2
votes
0answers
87 views

seasonality and generalized additive model

I am reading a report which talks about seasonality. There is a chart showing the average returns for each month of the year. In the chart it appears the last 3 months of the year tend to be negative. ...
2
votes
0answers
362 views

Law of a geometric brownian motion first hitting time (formula dont match Monte Carlo Simulation)

I posted this question before on MSE I need to use it in a small step in the middle of a simulation and I think I'm not getting correct results to this probabilities and so for my all ...
2
votes
0answers
151 views

Testing Statistical Significance of Various Portfolio Simulations

I'm trying to determine which of my portfolio simulations/backtests if any are good enough to put some money into. I outline an approach below and I'm interested in knowing: What problems are there ...
2
votes
0answers
781 views

How to compute for basis adjusted forward rate?

To give you a brief background, I'm valuing a fixed-for-float Interest Rate Swap (IRS) using Bloomberg. I put in a notional amount in (USD) and a assigned 6MO USD LIBOR as the reference index for the ...

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