2
votes
0answers
53 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
69 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
97 views

The effect of negative interest rates on derivative pricing

I am trying to get an overview of the impact on negative interest rates on financial products (in general). For the time being I distinguished the following products Vanilla options Exotic options ...
2
votes
0answers
50 views

Methodology for handling short american options in a back test

Given that an American option can be exercised at any time, how does one handle algorithmically selling an American option in a back test? I am not sure what the best practice is to simulate the early ...
2
votes
0answers
47 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
34 views

How to properly assess the costs of replicating an index via futures contracts?

I would like to validate this sentence, coming from a WSJ article: The cost of holding a Eurostoxx 50 future, for example, has climbed from an average of 0.07% of the contract value since 1998, ...
2
votes
0answers
39 views

DCC GARCH - Specificating of ARCH and GARCH parameter Matrices STATA

The command in STATA to calculate the DCC model of two variables is: mgarch dcc ( x1 x2=, noconstant) , arch(1) garch(1) distribution(t) $$ \begin{bmatrix} ...
2
votes
0answers
178 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
45 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
57 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
50 views

Stochastic control (HJB) for wealth process involving stopping times

Given a wealth process that evolves as $$d w_t = r w_t dt + \theta_t ( \sigma dW_t + (\mu-r) dt) - c_t dt.$$ where $\theta_t$ is the worth of holding at time $t$ and $c_t$ is the consumption stream. ...
2
votes
0answers
82 views

Is it too important that my residuals be normal? I am Using an ARMA/GARCH model

I am trying to fit an ARMA/GARCH model to a time series. I found that the best candidate is an ARMA(1,0) + GARCH(1,1) with gaussian white noise It has coefficients with p-values near cero and the ...
2
votes
0answers
99 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
38 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
34 views

What kind of errors arise when I fit ARMA(1,1) to data generated from ARMA(1,1)-GARCH(1,1) process?

As far as I know estimates of parameters of ARMA(1,1) are asymptotically optimal when fitted to data from ARMA(1,1)-GARCH(1,1) process, and only their variance increase, so when we assume large ...
2
votes
0answers
28 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
181 views

Calculate spread for pairs trading

What is the best way to begin calculations for pairs trading? I have seen two ways: 1) Start from the price ratio (StockAPrice/StockBPrice) and calculate mean, standard deviation and z-score from a ...
2
votes
0answers
102 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
108 views

Why is this delta-hedging/P&L example on a variance swap call correct?

I'm looking into this article about var swaps: http://sbossu.com/docs/VarSwaps.pdf and not sure how to correctly interpret Exhibit 2.1.1. "In this example an option trader sold a 1-year call ...
2
votes
0answers
34 views

How do I specify Thirty360::European day counter in RQuantLib

I am taking liberty to ask the following question in quantLib forum though this question is about RQuantLib I am trying to use RQuantLib to calculate clean price of a fixed coupon bond using a ...
2
votes
0answers
46 views

Market price of volatility risk

Reading Gatheral's The volatility surface, page 7. The model they are talking about is ...
2
votes
0answers
30 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
25 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
175 views

How do I artificially generate intraday ticks data from a given input (Open,High,Low,Close,Volume) using Brownian Bridge method?

How do I artificially generate intraday ticks data from a given input (Open,High,Low,Close,Volume) using Brownian Bridge method? https://en.wikipedia.org/wiki/Brownian_bridge P.S: Brownian Bridge ...
2
votes
0answers
68 views

how to apply a simple copula model

I'm playing around with copulas and wanted to generate some sample based on copula techniques in R. For this purpose I applied the following algorithm: Generate three sample vectors coming from ...
2
votes
0answers
54 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
59 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
146 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
101 views

negative transition probabilities in the heston model

I've been trying to implement a bivariate tree for pricing american options with the heston model in R using the paper of Beliaeva and Nawalkha ...
2
votes
0answers
83 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
89 views

Game theory and antagonistic games in trading

In one of the topic here, particularly in the comments, i saw a link to the page describing connection between Antagonistic Games and finances but i cannot find it now and would appreciate if somebody ...
2
votes
0answers
106 views

Scale of Market Quakes Computation

I would like to reproduce the results in the paper "The scale of market quakes", from T. Bisig, But I am getting stuck at the computation of the Fourier Coefficients in equation (4). They are defined ...
2
votes
0answers
75 views

Beta distribution - Holding period

Let's say I have a risk factor that is defined between [0,1], such as recovery rates. Assuming I have daily data, I can estimate the "daily VaR", i.e. the tails over 1 day period, since the data is ...
2
votes
0answers
31 views

How can I break down the change in value for an inflation-linked bond

I am trying to decompose the change in value of an inflation-linked bond into two constituent parts: 1) That due to changing nominal rates on the issuer's non-linked bonds 2) That due to changing ...
2
votes
0answers
75 views

Practitioner's criterion for MC pricing convergence

Let's say I have some Interest Rates (IR) pricing model which relies on Monte Carlo pricing and I'd like to benchmark its quality and find out optimal settings (time steps & iterations) per asset ...
2
votes
0answers
95 views

State Space models with Short Time Series

My problem is that I have a state space model that I estimate using the Berndt–Hall–Hall–Hausman (BHHH) algorithm. The state space model is relatively simple in that the hidden part follows a pure ...
2
votes
0answers
33 views

what kind of test for volatility and where find the data

I am working on a model for stochastic volatility. In short, the model try to capture that the volatility goes up suddenly after a shock (war, policy, financial events, etc) and then goes down slowly, ...
2
votes
0answers
42 views

Testing for the presence of a positive or negative gamma effect

I am currently analyzing a statistic that I believe will have the effect of hedgers having a positive or negative gamma position in certain stocks. In the case where I believe hedgers have positive ...
2
votes
0answers
43 views

Discretization Schemes

I am working with two correlated SDE's and I was wondering if I could use two different discretization schemes for them. Is there maybe a reference of this being done? And can something be said about ...
2
votes
0answers
37 views

Formal Proof of Immunization Techniqu

Please correct me if I am wrong in understanding the Immunisation Technique behind bond interest rate risk management. It says that any change in interest rate can be neutralised by reinvesting the ...
2
votes
0answers
109 views

Johansen-Ledoit-Sornette Model

im trying to predict crash time by using lppl model(JLS). My codes can run, but the error is to high....I try with some other initial values, but still can't reduce the error.....How i can reduce ...
2
votes
0answers
85 views

Simple Forward Interest Rate Proof

Just trying to check my logic here: Let $Z(t,T)$ be a Zero-Coupon Bond with maturity $T$ bought at time $t$, $S_m$ be the spot interest rate for time $m$ and $S_n$ for time $n$ respectively, where $n ...
2
votes
0answers
26 views

How do derivatives affect capital structures?

Yesterday, I was at a lecture where the speaker said that the impact of derivatives was often to make senior debt, in effect, subordinated debt (in terms of priority, recovery rates, etc.)? How do ...
2
votes
0answers
211 views

VaR mapping - Forward Foreign Currency Contract

I have a question about VaR mapping for FX forwards. Please bear with me while I outline the problem. Philippe Jorion's book discusses VaR mapping; a means to break down complex instruments into ...
2
votes
0answers
56 views

Tick Data Poisson Process

I am trying to generate a custom tick index using two indices (Let's say australian index ASX 200 and Japenese Index NKY). Japan index ticks every 10 seconds...and australia ticks every 30/35 seconds. ...
2
votes
0answers
104 views

Which are the popular free/open-source charting controls?

Recently i've tried SciChart and VisiBlox - beautiful charting tools. Is there any free or open-source tools for visualizing charts on C#? Thank you for answers.
2
votes
0answers
334 views

What's the practical difference between the Johansen vs Engle-Granger tests for cointegration?

For the two-variable case, what are the practical differences between using the Engle-Granger procedure versus the Johansen test for cointegration? Is one universally more powerful than the other? ...
2
votes
0answers
128 views

How to price zero coupon bonds with the Monte Carlo method?

Im trying to calculate monthly ZCB bond prices with a fixed maturity T, over a period of months via Monte Carlo methods. Here is my attempt: For the first month, the price is $P_{t_0}(0,T) = ...
2
votes
0answers
175 views

What equation will convert implied yield volatility to implied price volatility?

I am trying to figure out how to turn implied yield volatility of a short-term interest rate into implied price volatility. Is there an equation to do this? I have come across the equation for a ...
2
votes
0answers
53 views

What is the main reasons to use Miltersen & Schartz (1998) model for commodity futures options

versus a standard Generalised Black and Scholes model (if there are any?) I have read the paper but I am not to sure about its practical implications as would people with more experience using this ...

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