3
votes
1answer
85 views

Is there a countably infinite Sigma-Algebra? Why?

Assume $\,\mathcal{F}$ be a nonempty collection of subsets of $\Omega$. $\,\mathcal{F}$ is called a $\sigma$-Algebra whenever if $A\in\mathcal{F}$ then $A^c\in\mathcal{F}$, and if ...
0
votes
0answers
10 views

Individual investing as a quant [on hold]

Can one learn strategies that are applicable to personal/individual investing from a career as a quant?
2
votes
1answer
24 views

Forced to exercise gap options

I was reading a textbook and came across some surprising stuff in the section about gap options. Let $X$ be a payoff function such that $X=\Big\{\matrix{0 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ ...
3
votes
1answer
100 views
+50

Greeks of a swaption using Brigo

I struggeling with calculating the delta of a swaption. In the interest rate case I usually mess around with the multiple cash flows over time so that the discounting is more complex than in the ...
1
vote
1answer
66 views

Bond in relation to US T-Bill/Risk-Free rate

By looking at the following charts , i wondered about how to plot a fixed income security against a risk free bond. I have the bond price time series but I am not sure what US T-Bill rate I should ...
3
votes
1answer
101 views

How do I calculate the probability of a stock being above or below a value using the Heston model?

How can I use the Heston Model to calculate the probability of a stock being above or below a certain value on a given date in the future?
0
votes
1answer
103 views

Exercise 2.2 from the book “The concept and practice of Mathematical Finance”

I am a newbie. Please help me understand how to resolve the exercise 2.2 from the book "The concept and practice of Mathematical Finance". The solution from the book says that our super-replicating ...
0
votes
1answer
11 views

Correct Theoretical Discount Factors from Nelson-Siegel-Svensson?

I am calculating the theoretical discount factors associated with a bond that has 30 months to maturity from today with the parameters below obtained from here using the Nelson-Siegel-Svensson Model. ...
4
votes
1answer
152 views

Kolmogorov-Smirnov test for Generalized Pareto Distribution

I've fitted my data to a generalized pareto distribution as to model the returns in the tails more accurately. The interior is fitted with kernel distributions. I would like to now test whether the ...
1
vote
0answers
6 views

List of Economic Data for Index Forecast

What econometric symbol list (or tickers) could be used to forecast return of global stock market indexes (S&P500, TSX, CAC40, ...) and their subsectors? I'm aware of the answer to question: ...
0
votes
1answer
57 views

Do I need simulink to model the risks of an option portfolio

I wish to buy Matlab Home and learn to model the risks of a derivatives portfolio and then stress test it. So I am guessing I will need : Stochastic calculus Linear algebra Stats/Probability Some ML ...
4
votes
1answer
211 views

Why is two-factor model so popular for bond futures?

Given that which bond in the basket becomes CTD depends massively on idiosyncratic moves among different bonds, should we not be always using N factor model instead of 2 Factor model? By using only ...
1
vote
1answer
20 views

Is $\frac{P(t,S)}{P(t,T)}$ martingale?

Assume $r_t$ follow the CIR process and $P(t,T)=E[exp(-\int_{t}^{T}r_s ds)|F_t]$.I am going to show $\frac{P(t,S)}{P(t,T)}$ ($S<T$) is an $F_t$-martingale under Forward Measure but So confused! Do ...
0
votes
1answer
41 views

Issue with OLS Regression for Nelson Siegel Svensson parameters

I have been working on getting input parameters to the Non-Linear Optimization which gives the Nelson Siegel Svensson model parameters and am carrying out the OLS regression as described in this ...
2
votes
1answer
51 views

Self-Frontrunning Arbitrage

If I have a large order to fill, shouldn't I always buy a derivative in the same direction to profit from the market impact? E.g. I sell 1 million shares and so I buy a put, which will hence almost ...
3
votes
4answers
139 views

Unsmoothing of returns

The following problem arises in the context of private equity, which typically report "smoothed" returns (think of it as a moving average). As you can imagine, "smoothed" returns would have a much ...
2
votes
1answer
72 views

How do I show that there is no tangency portfolio?

Question: Suppose that the risk-free return is equal to the expected return of the global minimum variance portfolio. Show that there is no tangency portfolio. A hint for the question states: Show ...
16
votes
5answers
31k views

Mapping symbols between tickers, Reuters RICs and Bloomberg tickers

Is there any known solution (preferably open source) to map between ticker symbols, Reuters and Bloomberg symbols. For example: Ticker: AAPL Reuters: RSF.ANY.AAPL.OQ Bloomberg: AAPL US Equity ...
0
votes
0answers
18 views

What is a quote? [on hold]

I understand that it represents the bid and ask price at a given time, but why is the price quoted at that specific time? What triggers it?
5
votes
1answer
93 views

Market price of volatility risk

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

Pair trading based on cointegration - equity line

I'm preparing a project at my Uni where I have to make a simple pair trading strategy using cointegration between two stocks. I'm stuck on the equity line calculation. I have prepared opening and ...
2
votes
2answers
110 views

Calculating VaR with Monte Carlo simulation

I would like some help here :) I have a problem calculating VaR with the Monte Carlo Simulation. I have followed then next steps, is this a right way to calculate VaR or I need something more? ...
3
votes
1answer
55 views

Tools/R-code to create gain/loss-asymmetry plots

The gain/loss asymmetry is a well known stylized fact: It basically states that real financial time series take longer for going up than going down. To detect it a heavy statistical machinery is ...
0
votes
1answer
24 views

Interpreting and scaling of Realized Variance with sample data

I have some question about realized variance(RV) and I have some sample prices below to work with. You can run the R code below to build a vector of log returns. Three are 78 5-minute buckets in a ...
0
votes
1answer
81 views

How to create a basket of currency pairs with the lowest correlation in R?

My strategy is designed to buy and sell all assets of a universe and rebalance periodically. It goes either long or short. To limit risk exposure to a single currency I would like the assets in the ...
0
votes
1answer
37 views

What market making strategies are often used nowadays ?

I am doing a survey of market making strategies, what's the popular market making strategies?
1
vote
1answer
80 views

Forecasting using GARCH in R

I am using the predict and ugarchforecast functions in R. When I fit my models and try to forecast, I get either only increasing or decreasing values for sigma, does anyone know why? Thank you ...
1
vote
1answer
441 views

How to fully replicate ADX + DI Indicators in Excel? [on hold]

For black box testing, I was hoping that I could replicate the ADX + DI+ and DI- indicators that are provided in trading platforms such as ThinkOrSwim, ScottradeElite etc. However, I noticed that ...
0
votes
0answers
25 views

Is there a considered floor for variation the 1st principal component must explain?

I am wondering if there is a considered floor to the percentage variation the 1st principal component must explain in general for PCA - ie. any lower and it is not worth doing PCA at all? Is the floor ...
0
votes
0answers
25 views

Forward parity in fixed income

In stock and index we have a beautiful forward-spot parity $$ F(t,T) = S(t)\cdot B(t,T) \tag{1} $$ which tells us that to price a forward contract at time $t$ with expiry $T$ we can just borrow ...
0
votes
0answers
20 views

Influencing factors on credit

There was the following question on an exam: Which factors are influencing the effective interest rate of a credit? loan amount fees interest rate running time I would have said ...
1
vote
1answer
22 views

Likelihood of a caplet ending in the money

with what likelihood would one expect an ATM caplet to end up in the money? Just as a very rough guess, from real world experience. When I consider N(d2) from the Black formula, for spot = strike = ...
0
votes
0answers
32 views

Fed Funds Rate: longer maturities

FFR published by Fed Bank of NY is the average rate US banks charge each other for the overnight loans of their reserves required by the Fed regulations. Since Fed acts similar to a clearing house ...
0
votes
1answer
24 views

Option platforms providing eurex products

I search an option platform providing eurex products as eurostoxx 50. Can you advice me some platforms ? Thank you in advance for your answer Julien
0
votes
1answer
74 views

Why is that maximizing stock value, under uncertainty, is a better option than maximizing profits?

I've been trying to access the papers that state that kind of problem, but most of them need payment for access and I am on a student budget. I know that maximizing profits=maximizing stock value in ...
4
votes
2answers
608 views

Need historical prices of EUREX American and European style options

I am trying to get the historical price data on selected American and European style options at EUREX. I am not familiar with their system. Does any one know whether they have something like yahoo ...
0
votes
1answer
23 views

Given cash flows, what is the interest rate if the period is in days (10 day period)

I am presented with an investment opportunity where I am given #481,000 on day 1. Thereafter, every 10 days, I am required to give back #50,000 every for 100 days (10 * 50000 = 500000). How do I ...
0
votes
1answer
18 views

Short put option in merton model

Can someone give me an intuitive understanding of why the Merton model models the value of the debt from the lender's point of view as a short put with a risk free bond? I'm not well versed in this so ...
3
votes
1answer
142 views

Covariance structure of call option surface

Assume the observed call option prices $C(K_i,T_i)$ for $i = 1,\dots,N$ are disturbed by some unknown measurement noise $\epsilon$. What would an appropriate covariance structure be for $\epsilon$? ...
0
votes
1answer
23 views

compute technical indicators from candle data

i have a rookie question but can't find the answer anywhere so..what is the right way to compute a simple moving average when you have an array of (open,close,low,high) tuples ? From what i saw so ...
0
votes
0answers
30 views

Ledoit-Wulf portfolio strategy calculation

I am trying to implement the Lediot-Wulf portfolio strategy on a real-world stock dataset. ...
4
votes
2answers
113 views

Derivation of Stochastic Vol PDE

A couple questions regarding stochastic vol PDE derivation. Following Gatheral, a general stochastic vol model is given by \begin{align*} dS(t) & = \mu(t) S(t) dt + \sqrt{v(t)}S(t) dW_1, \\ dv(t) ...
5
votes
1answer
101 views

Regression model when samples are small and not correlated

I received this question during an onsite interview for a quant job and I'm still scratching my head on how to solve this problem. Any help would be appreciated. Mr Quant thinks that there is a ...
6
votes
2answers
136 views

Deriving the definition of stochastic integrals with respect to Ito processes from first principles

When I first encountered the definition of integrals with respect to Ito processes (Shreve's Stochastic Calculus for Finance Vol II), I didn't think twice. However, I wanted to see if the definition ...
2
votes
2answers
84 views

Q regarding amortization of 500,000 loans

I am brand new to this forum. I asked this question on the main StackOverflow site and it was suggested that I ask here. My task is to find a method to quickly calculate the monthly cash flow on ...
3
votes
1answer
113 views

How to get around flat likelihood function when calibrating GBM parameters

(Hope this is the correct place for this question - I posted it first on stackoverflow:) I want to calibrate jointly the drift mu and volatility sigma of a geometric brownian motion, ...
3
votes
1answer
219 views

How to calculate implied volatility smile of basket using correlations?

For a basket, the realized volatility can be calculated using: $$\sqrt{\sigma_1^2 + \sigma_2^2 + 2 \sigma_1 \sigma_2 \rho}$$ If I have the volatility surface of two underlyings S1,S2 (strike space). ...
0
votes
1answer
42 views

Derivation using Ito's Lemma of price process

define q(t) as the log price minus a linear trend $$ q(t) = logP(t) - \mu t $$ assume teh log price process = Equation 1: $$ dq(t) = - \Theta q(t) dt + \sigma dW(t) $$ Can you show that the ...
2
votes
1answer
102 views

Rebalancing portfolio weights

I have a matrix of returns and weights for every time period. ...
3
votes
1answer
121 views

How to calculate the JdK RS-Ratio

Anyone have a clue how to calculate the JdK RS-Ratio? Let's say I want to compare the Relative strength for these: EWA iShares MSCI Australia Index Fund EWC iShares MSCI Canada Index Fund EWD ...

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