All Questions

1
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0answers
6 views

Question on Gÿongy' lemma proof

I have some questions regarding a proof of Gÿongy's lemma given in 1 I would like to understand the following passage: $$ \int_{s=t_0}^{s=t}\mathbb{E}\left[\delta(X_s-K)\langle dX_s\rangle^2 \right]= ...
1
vote
0answers
179 views

State of Art - Nelson Siegel Modeling

My idea is to work with dynamic Nelson Siegel models(DNS) on my master's thesis. As I am finishing undergraduation this year I started researching on the subject. I wonder what is being discussed in ...
0
votes
0answers
4 views

Binomial model option

An American call option with exercise price $K = 90$ written on an asset where the asset prices in dollars are given below, the interest rate per period is zero, and a dividend of $5$ is paid between ...
0
votes
1answer
22 views

Extend mean-variance optimisation to fama five factor

I'm new to quant finance, and as I'm not a mathematician, I am using python to try an understand it. There are a number of blogs on the internet which explain mean variance optimisation, but no-one ...
0
votes
1answer
22 views

DATA for Backtest

I am a retail trader and i am looking for a data set that comprehends all us equities, ETF's, ADR's and indices going back at least to January 1st 2007. Data would need to be split + dividend ...
0
votes
0answers
19 views

Bitcoin dynamics - C++ Simulation

I would like perform a simulation of Bitcoin future prices given a sample of the 4 past years (2014-2018). My problem is that I do not know what model to use! For common stocks I used the geometric ...
1
vote
1answer
308 views

historical data on orders and executions

I've implemented a simple trading system that gets orders with FIX, manage them in limit order books, calculate relative prices and, execute order book, runs multiple sessions (auctions and normal) by ...
0
votes
1answer
19 views

How to get Forward price based on Put-Call parity?

Could you advise how to find a forward price using Call/Put (+Spot and Strike) ? Investodepia says that forward is equal to option's strike based on Put-Call Parity but it seems to me there is a ...
1
vote
1answer
132 views

How do markets price an interest rate rise?

It is common to see phrases like Markets priced in a 68 per cent chance of a rise in UK interest rates at the next meeting, up from 48 per cent before the June decision was announced This example ...
0
votes
1answer
21 views

Black-Scholes volatility implied by stock prices only

I was solving Problem 2.47 from T.F. Crack's "Heard on the Street". I think that the answer given in the book is not correct and I would be thankful if you tell me, where I am mistaken. Question 2....
2
votes
2answers
80 views

What is “Lambda” in Heston's original paper on stochastic volatility models?

In his paper (link), he has the equations: b1 = k + ƛ - (ρ * σ) b2 = k + ƛ k is the rate of mean reversion, ρ is the correlation between the two Wiener processes, σ is vol of vol, what is ƛ? ...
1
vote
0answers
31 views

Prove Subadditivity - Entropic Value at Risk

Any insight in how to prove the following risk measure is subadditive? $\rho_{1-\alpha}(X) = \inf_{z>0}\{z^{-1}\ln(\frac{E[e^{zX}]}{\alpha})\}$, with $\alpha \in ]0,1]$ I want to prove it is a ...
0
votes
1answer
28 views

Infinite Binomial Pricing no arbitrage

How to price a contract that pays only 1 at the first stock price drop? The stock follows an infinite binomial with no arbitrage $d<R<u$ condition. So the probability of the price going down is ...
13
votes
2answers
2k views

Estimating Parameters - Vasicek

The Vasicek model for the short rate $r_t$ is given by the SDE $$ dr_t = \alpha(\beta - r_t)dt + \sigma dW_t, $$ where $W_t$ is a Brownian motion under the physical measure. I'd like to compute bond ...
0
votes
1answer
99 views

How to conduct an event study for multiple companies with different event dates?

I have a sample of 300 companies over the period of 5 years. Each company has one event per year and all event dates are almost different. Is there any short way to do event study instead of doing for ...
0
votes
2answers
81 views

Building a financial time series database for storing large scale historical securities datasets

I am building a time series tool for my own use. The database stores large scale securities historical datasets ( ie securities, prices, macro economic data, trading transaction accounts, supporting ...
0
votes
1answer
73 views

How to apply derived beta to daily change?

I've taken three months of price return data for two instruments and calculated a $\beta$ between the two using the formula $\beta = \frac{Cov(x,y}{Var(y)}$ with the goal of estimating what the ...
1
vote
1answer
42 views

Monte Carlo simulations in Python using quasi random standard normal numbers using sobol sequences gives erroneous values

I am trying to perform Monte Carlo Simulations using quasi random standard normal numbers. I understand that we can use sobol sequences to generate uniform numbers, and then use probability integral ...
0
votes
0answers
18 views

Binomial tree for elementary security

I'm coursing a financial engineering course and must build a binomial tree for a security that is valued 1 in state and time 0. I dont get the formula given by the instructors, and trying to apply the ...
2
votes
3answers
2k views

Why gamma for ATM option decreases as volatility increases

Why is the gamma for an at the money option less when volatility increases. Intuitively ,I thought that increasing volatility means more uncertainty,hence the option price will be more sensitive to ...
1
vote
0answers
18 views

Need to solve the stochastic differential equation of Vasicek Model

How to solve the stochastic differential equation of the Vasicek model for the analysis of credit risk? I search in the article "The Distribution of loan portfolio value" (Vasicek) but he doesn't ...
2
votes
1answer
145 views

How to model High/Low prices for Stocks with Monte Carlo

I'm using monte carlo simulation to model stock paths and measure risk, but I was wondering if there is a way to simulate the full bar/candle chart with open, high, low and close prices , as I'm only ...
1
vote
0answers
33 views

Opposite of Value-at-Risk. Criteria for Optimization

I'm trying to optimize portfolio of undervalued and portfolio of overvalued stocks. I have simulated scenarios of stock returns, and based on them I would like to find optimal weights. One criteria is ...
2
votes
1answer
88 views

Why Can I not estimate a CVAR from Heston Model

I fit the parameters of Heston model, using option data for SPX. Now I have the process S and P 500 is expected to follow. I make 100,000 simulations of this process and then calculate the expected ...
1
vote
1answer
26 views

Finding B(t) in the Vasicek model relating to the bond equation, more specifcally from the initial condition

In the Vasicek model for derving bond prices, we have the ODE $$\frac{dB}{dt}=\gamma B-1$$ which gives rise to the general solution $$B(t)=C_1 e^{\gamma t}+C_2$$My problem is that we have the "initial"...
0
votes
0answers
20 views

where does the 4h term come from in the “viscosity solution” of this dynamic programming solution of a quasi-variational inequality?

On Page 151(Section 5.4) of Optimal Control in Limit Order Books there is a numerical scheme defined via a time discretization of a system of quasi-variational inequalities My question is, where is ...
1
vote
0answers
46 views

What are some beginner quantitative option trading strategies?

I'm new to quantitative trading, with good knowledge in finance and coding (mainly Python, Java, R, etc). I would like to know if there are any basic quantitative option trading strategies that can ...
0
votes
1answer
72 views

Rationale for describing kurtosis as “peakedness”?

Despite plenty of evidence to the contrary, many quantitative finance sources of information, including teaching resources such as CFA prep, persist in defining kurtosis as a measure of "peakedness." ...
5
votes
1answer
121 views

Fama and French 1997 Cost of Equity

Dear Quantitative Finance Members, I was wondering if you can clarify me the following issue. I am trying to estimate the cost of equity following "Industry costs of equity" (Fama and French, 1997). ...
1
vote
1answer
34 views

Fixed Income Attribution

Q: In the passage below, is the implied forward rates (expect return) considered the same as the market implied return from forward rates (unexpected return)? For instance, Expected return = Implied ...
-1
votes
0answers
31 views

How to calculate impact on portfolio with various asset classes

I was given a portfolio consisting of equities, commodities and high-yield bonds and respective weights. I also have correlation data of different asset classes and standard deviation of each asset. ...
5
votes
1answer
350 views

Combining modern portfolio theory and Kelly betting?

I'm using modern portfolio theory to compute the frontier of efficient portfolios. I'd like to pick the best one in the spirit of Kelly betting, ie. maximising expected growth. I'm looking for a ...
11
votes
1answer
386 views

Variance swap volatility - ATMF vol, Skew and Curvature

In a pure diffusion setting, it is a well known result that the volatility $\sigma_T$ of a fresh-start variance swap of maturity $T$ as seen of $t=0$ verifies \begin{align} \sigma_T^2 &= \Bbb{E}_0^...
3
votes
1answer
256 views

VAR-aDCC full ARCH and GARCH parameter matrices in R

I am working with the rmgarch package in R and I estimated a VAR-aDCC model. Is there any way to extract the extended version of estimates (allowing for volatility ...
3
votes
1answer
283 views

Cross-Currency Inflation-Linked Swap

I am trying to find any references to cross-currency inflation-linked swaps. Have anyone encountered them and can describe how they work and how they differ from standard year on year inflation swaps?
-1
votes
0answers
25 views

Help!! how can do i compute bond price with YTM in python? [on hold]

Given FV = 1000 coupon rate = [0.01, 0.015, 0.023, 0.038] ytm = [0.016, 0.021, 0.045, 0.065]
2
votes
3answers
101 views

For using finite difference on PDE, what should the grid be?

If I wish to use finite difference methods to approximate the pricing function $F(t, s)$ for an option (say, a call), what size grid should I use? I mean, it seems to make sense to start the grid at ...
5
votes
1answer
1k views

Vasicek model calibration

I am trying to calibrate Vasicek model, i.e. to determine the parameters $\kappa, \mu, \bar{\mu}$ and $\sigma$ where the process dynamics are given through $$ dr_t=\kappa\left( \mu - r_t\right) dt+\...
1
vote
0answers
20 views

how to test OMS functionality via FIX?

Has anyone done app dev that tests OMS functionality ( FIX ) ? Do any brokers or other financial entities make test apis available ?
2
votes
1answer
38 views

Expected value of stochastic optimization

I have a optimization problem where the SDE is: $$ dX(t) = [X(t)(u(t)-\beta(t))+\theta(t)]dt+X(t)u(t)\sigma dW(t), t \in [0,T], X(0) = X_0 $$ where $u(t)$ is the portfolio, $\beta(t)$ and $\theta(t)$ ...
1
vote
1answer
56 views
1
vote
1answer
42 views

where to download current composition of popular indexes?

What are reliable sources to download plain-text files listing current composition of various popular indexes such as S&P 500 (SPX) or Dow Jones Industrials (DJI) or Nasdaq 100 (NDX) ? At a ...
2
votes
0answers
25 views

Achieving an even distribution of orders in the queue

Market Making under a Weakly Consistent Limit Order Book Model contains the following paragraph "The market maker may achieve her target execution profile by continuously adjusting her limit ...
1
vote
1answer
42 views

Computing FX forward returns using spot returns and an existing term structure

Sorry for the naive question, I am new to the area. I have YTD spot returns on the USD/GBP pair and a forward yield curve. How would one go about computing the forward returns in 2 years using this ...
262
votes
29answers
195k views

What data sources are available online?

What sources of financial and economic data are available online? Which ones are free or cheap? What has your experience been like with these data sources?
4
votes
1answer
73 views

Metric for measuring the “spread” of a copula

I am fitting copula to log returns data for my undergraduate thesis, and comparing the quality of the fit with AIC. One interesting thing that I found is that the Clayton copula, which has negative ...
1
vote
1answer
38 views

How to hedge x gamma in callable prdc?

How do you hedge the short rates - fx cross gamma in a callable PRDC (Power Reverse Dual Currency note) ?
1
vote
1answer
418 views

(Reproducible example) Conditional returns in GARCH-EVT-Copula context (with R)

I'm estimating a time-varying correlation matrix for the normal copula using the rmgarch package from R. I've found this code in the rmgarch.tests folder. I use the ...
1
vote
1answer
110 views

Difference between IRS and OIS

Is the understanding right that OIS can be accessed only by banks whereas IRS is for corporates. Also, since corporates borrow at Libor + spread, to hedge Libor I use IRS. Banks can borrow overnight ...
1
vote
0answers
32 views

Local Volatility calculation in Python

I am trying to price Local Volatility in Python using Dupire (Finite Difference Method). I have following set of information Spot: 770.05, Strike: 850, Type: 'C', rfr: 0.0066, time to maturity = ...

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