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
117 views

Stochastic Volatility CIR estimation

Would anyone have a code (pref. Matlab or R) for any type of estimation (QML, GMM) not using option prices of a stochastic volatility model driven by a CIR process described below? \begin{equation} ...
2
votes
0answers
30 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
204 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
80 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
58 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
64 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
173 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
107 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
91 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
93 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
109 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
76 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
32 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
76 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
97 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
34 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
45 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
115 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
89 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
58 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
107 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
144 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
188 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 ...
2
votes
0answers
142 views

What happened to Mountain View Analytics?

I stumbled over Thomas Cover's work on algorithmic portfolio selection; apparently, an outfit called "Mountain View Analytics" attempted to implement the suggestions from Cover's research. ...
2
votes
0answers
84 views

Effective simulation of multi factor Heston model

Im looking for a quick way (as in runs quick, not necessarily is quick to implement) of simulating multiple square root processes for a stochastic volatility model, flexible enough to allow for ...
2
votes
0answers
42 views

Risk neutral measure for jump processes

How can I construct risk neutral measure for option price if active price form is: $$S(t)=S(0)\left[\exp{σW(t)+(α-βλ-1/2σ^2)t+Q(t)}\right] ?$$ Here $W(t)$ is a Brownian motion and $Q(t)$ is a ...
2
votes
0answers
79 views

At-the-money Call Spread approximation

In a trading manual I got during a course, the value of the ATM Call-Spread is approximated by $CS_{ATM}=\frac{1}{2}StrD+(F-m)\times\Delta CS$ The lecturer skipped the part where he derived this ...
2
votes
0answers
209 views

Bond (yield curve) dynamics in the Forward-LIBOR-market-model

The standard Libor-Forward-Market-Models provides a way of modelling the evolution of forward rates in time. However the model does not seem to be well suited for the modelling of zero-bonds. But ...
2
votes
0answers
128 views

Weighted average implied optionlet/swaptions volatility

Let an implied volatility curve/surface is made up by optionlets or swaptions Black's implied volatility. If you wanted to price, say, a FRN with cap and/or floor, a CMS et cetera you would input the ...
2
votes
0answers
40 views

How can dividend protection be considered in the binomial model in pricing the convertible bond?

If the convertible bond has dividend-protection, how can we cater it in the binomial model? If there is dividend protection at or above 1%, can we impose input of dividend yield of 1% in the ...
2
votes
0answers
139 views

Zakamouline Optimal Hedging of Options with Transaction Costs

I've read that the Zakamouline method suggests the best optimal hedging of options when taking transaction costs into account. I've read the article but am having difficulty understanding it well ...
2
votes
0answers
55 views

Forecasting amount of slippage in executing option spreads

Is there a good quantitative model to estimate how much slippage is required to execute a particular option spread trade? For example, let's say you want to execute an Iron Condor. Given X, Y, Z ...
2
votes
0answers
69 views

The concept of an incomplete market

While skeeming the relevant literature and web-sites I noticed that mostly the concept of the incomplete market is reduced to the following statement "A market is incomplete if there are more ...
2
votes
0answers
90 views

Derivation of variance of Zhou (1996) volatility estimator

Does anyone know how to derive the Variance of Bin Zhou's volatility estimator (Theorem 1) in 'High-Frequency Data and Volatility in Foreign-Exchange Rates' (1996) Zhou 1996 Any help would be ...
2
votes
0answers
186 views

Reasoning for Bloomberg's short rate volatilty calculation

Bloomberg, in its documentation, explains that it calculates the short rate volatility for its Hull White implementation by multiplying the e.g. 10y IRS rate (divided by 100) by the 10y cap vol. Why? ...
2
votes
0answers
62 views

Multivariate interpolation for estimating FDM in-between grid points

After implementing some FDM to price some option, there are gaps between our grid points that may be of interest. From reading around, it appears common to use bilinear interpolation to estimate ...
2
votes
0answers
208 views

Funding spread in FVA calculation

For the FVA calculation, is the funding spread (either borrowing or lending) treated as a piecewise constant function (i.e., if the length of the exposure is 5 month and I know the 3 and 6 months ...
2
votes
0answers
91 views

How will the European requirements for prudent valuation affect derivatives pricing?

The European Banking authority has published the "EBA consults on draft technical standards on prudent valuation". How will these requirements for prudent valuation affect derivatives pricing, if at ...
2
votes
0answers
151 views

Where do i find the trade execution priority rules for special order types on continous auction markets

I'm looking for documentation on how trade execution is ordered on exchanges with non standard order types. Especially linked/contingent/stop type orders. Any exchange that implements these with ...
2
votes
0answers
54 views

How to interpret CME's specification regarding grains options expirations?

Looking at the contract specifications for Soybean Meal and Soybean Oil (same for Corn, Wheat, and other major stuff I checked) serial options on CME I see the following expiration rule: the last ...
2
votes
0answers
149 views

What R-packages for SOCP problems are there?

Currently, I am looking deeper into the topic of second-order cone programming. Could you suggest packages that solve SOCP-problems in R? With your answer, please provide a short description of ...
2
votes
0answers
132 views

Correlation between idiosyncratic residuals and forward returns

The classic mean-reversion strategy is to calculate an "expected return" (alpha) by computing the raw return for each security and then remove the part which you think is market driven. Statistically ...
2
votes
0answers
108 views

A doubt about Evans and Jovanovic (1989) economic model for entrepreneurs with credit constraints

[I already posted this question on the math forum of stackexchange and I was advised that I should post this question here] In Evans and Jovanovic (1989) you will find a model for entrepreneurs with ...
2
votes
0answers
121 views

How to reproject rates risk on a subset of tenors

Is there a standard method (statistical or model based) to reproject rates risk obtained on a full set of tenors onto a smaller subset of tenors ? Let's imagine that I got a delta in the following ...
2
votes
0answers
103 views

Best method for determining the market value of a stock before it is issued

I am attempting to determine the hypothetical market value of a stock for a company emerging from bankruptcy as of a date prior to actual the issuance of the stock. For example, let's say the formerly ...

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