# All Questions

12,693 questions
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### Antithetic sampling Monte Carlo

In Peter Jaeckel, Monte Carlo in Finance book, I read the following sentence: Whenever the first realised moment of the underlying variate draws $\{z_i\}$ has a strong impact on the result of the ...
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### Portfolio return with changing assets over time

I need some feedback on a very basic question regarding the calculation of the portfolio return. I have created an example of a portfolio with two assets and attempted to calculate the return: I've ...
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### Investors degree of risk aversion in capm model

I am a bit confused about one assumption of the capm. My professor said that in the capm model all investors share the same utility function and the same degrees of risk aversion. Then as a final ...
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### How can i fit the following regression in R? Why is the coefficient [second Columns] for R so low?

'Rwml' is the monthly log return So the first column is clear, I got nearly the same values, at least the same magnitude. But: If I regress on the variance, my input values are way too low to get a ...
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### 2 ways to calculate profits, which both seem legit, but produce different results - what am I missing?

I'm trying to calculate this simple example with 2 ways which both seem legit, and getting different results. Way 1: at the beginning of day $t$, first reset the holdings to 0, then buy the number of ...
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### Python Quantlib : what is missing in creating new Libor or Euribor object?

So I am trying to follow the guide on QuantLib Python Cookbook on Hull-White 1 Factor model calibration and was able to set it up. But what I wanted to do was to include a term structure model that ...
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### Strategic asset allocation research

I am currently trying to form an overall asset allocation strategy which combines base strategic allocation and tactical shifts. My model already incorporates the tactical shifts using various factors ...
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### Data Vendors for Equity Risk Premium, Risk Free Rate and Equity Index Price

I've been searching to see if there are vendors that could provide datasets for these 3 categories. Any recommendations? Thanks
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### What's the interpretation behind this GARCH modeling?

I have an ARIMA model for monthly returns of the brazilian stock market index. Then I test the residuals of the model for ARCH effects. The ACF/PACF of squared residuals show that there are no ...
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### Risk-neutral pricing and statistical arbitrages

I'm studying the martingale approach to asset pricing. Dealing with the concept of risk-neutral probability, I came up with a question about the possibility of "arbitrages in expectation". I'll be ...
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### Value of portfolio with fixed discrete dividends

I know that this is a very simple question, but i want to make sure to grasp the concept of ex dividend and value of portfolio. Suppose that we have a two period binomial tree of a stock with initial ...
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### Pricing barrier option under Levy process: Biased estimate?

I want to price a down and out call, barrier option, with the underlying asset following a Levy process. I am interest on the Kou double exponential model or the NIG process, to capture asymmetric ...
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### Bootstrapping spot rates based on swap rates using QuantLib

I am bootstrapping the shibor curve and fr007 curve using swap rates in China. I created my own index like following: ...
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### Vasicek model and spot interest rate parametrised by reversion rate

By solving an SDE I want to derive the analytical results for mean and variance of the process of extended Vasicek model. $$dr(t) = \left(\eta - \gamma r(t) \right)dt + c dX(t)$$ where $\gamma$ ...
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### Bachelier Model (with interest rates) - problem in deriving pricing formula

I want to compare the Bachelier model and the Black Scholes model. I am afraid my question is going to be a bit lengthy, but if there is someone who knows any literature, which concerns the ...
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### How is the Fama French 3 factor model used for portfolio construction?

In which ways is the Fama French 3 factor model used by practitioners to construct portfolios? I understand that the betas can be calculated for a portfolio of stocks or for single stocks. Are the ...
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### Is the implied volatility surface relative or stationary?

Do different strike values of options attain their volatility value dependent on their % distance from the ATM price continuously, or is the volatility surface stationary during a single day?
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### Don't know if it is obvious, but how do I fit the following model in R?

From the Paper "momentum crashes", Daniel and Moskowitz $I_B$ is a dummy Variable which could be either one or zero Is it possible to regress on two intercepts? or do i get something wrong ? Are ...
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### Barrier option on a basket with arbitrary stochastic process

Suppose I want to price a Down-and-out European call, barrier option. However, the stochastic process is not a gBm or any other Levy process with known structure. Practically, I want a barrier option ...
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### How are open and close price of mini snp futures determined

I'd like to know how are open and close prices of the mini snp futures contracts determined. For some reason I cannot find an answer to this basic question on the cme website.
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### understanding Value-at-Risk correclty

The are several types how to calculate the VaR. I am focussing on the method of calculation the VaR in percentage. $VaR=I*z*std*\sqrt{t}$ This gives the VaR in €. I have the z-value, the daily ...
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### Wave Method and Implied Duration

I am pricing an MBS under three different rate scenarios: a base case, +5bps and -5bps I compute partial durations on the base case using the wave method (P. Hagan: Calculating Delta Risks and Hedges ...
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### Find arbitrage opportunity in the given market model

Consider the following 3-period-market-model: The discounted price of the risky asset $S$: How can I find an arbitrage opportunity in this model? I know that there would be no arbitrage if we ...
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### Pricing bond backed by collateral

I'm new to quantitative finance, and trying to derive an interest rate for a collateralized bond. Imagine there are two parties, Alice and Bob. Alice wants to lend $X$ units of an asset to Bob. The ...
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### Why can't we create a “magic” basket of options to sell for no-arbitrage pricing in SVJ model?

I am learning how to price SVJ options and am reading some stuff on no-arbitrage pricing for SVJ model using the typical approach you would use (like in BSM option pricing) of creating a risk free ...
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### What are good TEXTBOOK on stochastic volatility and interest rate theory?

I wanted to learn stochastic volatility modelling and interest rate modelling. On this site, a answer recommended me the books "Stochastic Volatilty Modelling" by Lorenzo Bergmo and "Interest Rate ...
56 views

### How to interpret the (expected) exposure and CVA of an option or a single share

I have a quick (hopefully simple) question regarding the interpretation of the expected exposure of a call option and a single share. I've done some computations on the formula for the expected ...
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### Using securities finance transactions to facilitate short positions

The typical way to take a short position would be to borrow the security (facilitated by a custodian/prime broker). How can one use securities finance transactions to facilitate short positions (...
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### Free dividend data API for non-US stocks

Is there are any free API for dividend data that does also include non-US stocks? I know of this question from three years ago. However, the situation has changed since then apparently, as there are ...
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### Difference between modelValue from HestonModelHelper and NPV() from VanillaOption

I am trying to calibrate an Heston model and price vanilla option using Quantlib 1.15 and Python 2.7. I use the following code ...
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### How is Kalman Filter used to estimate Term structure Models

I am implementing "The Term Structure of Variance Swap Rates and Optimal Variance Swap Investments" . This paper is using kalman filter to estimate the state and the mean variance and a parameters on ...
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### Symbol “.” in the derive of Quanto Adjustment

I am reading "Analysis, Geometry and Modeling in Finance". In section 2.10.2 which derives the quanto adjustment, it states that (in page 46) by definition the process $S_t^{d/f}S_t^f$ is the foreign ...
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### How to create a volatile market, by combining less volatile markets?

This might be against the law of gravity, but I'll give a try 🙂 Is there a way to combine two financial products $p_1$ and $p_2$, into a single product $p_c$ that is more volatile than its ...
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### Half life of Exponetial Weighted Moving Average

I am trying to apply a volatility strategy. I am reading a paper where the authors defined the volatility as: "Exponential Weighted Volatility of returns with a 1-year window and 3-month half-life" ...
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### Choquet integral risk measure

I have one question that cannot fully understand why. What is the definition of the Choquet integral risk measure?
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### Max allowable return in Markowitz model

The Markowitz model solves the following problem: The portfolio with the smallest variance among attainable portfolios with expected return µV. Here we have to choose µV to get the optimal portfolio ...
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### Why do we need to borrow money in the call-put parity? [closed]

As I understand it, the call put parity is given by $$c = p + S - \frac{X}{(1 + r)^T}$$ I understand the rationale behind simultaneously buying the call, put and underlying asset for $S$, but why ...
103 views

### Reference on Futures basis trading strategy

I have heard that it is possible to trade on the futures basis. In my understanding, the futures basis is essentially the difference between the futures price and the underlying asset (also referred ...
25 views

### Strange results in Fama-Macbeth regression estimates

I am reading the paper Chordia, Tarun and Subrahmanyam, Avanidhar and Anshuman, V. Ravi, Trading Activity and Expected Stock Returns (Undated). Available at SSRN: https://ssrn.com/abstract=204488 or ...
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### Difference between characteristic function and Fourier transform

I'm struggling to understand the difference between this two functions. I have this condition: \$P_j:=\mathbb{Q}(S_T>K):=\frac{1}{2}+\frac{1}{\pi}\int_{0}^{+\infty}Re[\frac{e^{iuK}f_j(u,x,v)}{iu}]\...