# All Questions

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### Non-Trivial ATM Volatility in Vol smile construction from Market data on US Equities

have 2 quick questions please help. Constructing vol smile (OTM puts & OTM calls) from US equity market data. for Parabolas fit or other methods, the choice/method for ATM vol is non-trivial, ...
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54 views

### Interest Rates and Present Value Calculation [closed]

I'm trying to answer the hypothetical question posted below but I'm very confused about its wording regarding the interest rate. If I assume that the interest is compounded monthly (I'm guessing this ...
47 views

### How to find the risk-free rate and dividend rate for S&P 500 index options?

I'm currently working on a project using S&P 500 index options(European) data. I haven't done any empirical experiments before, so I'm confused how to find the corresponding risk-free rate and the ...
30 views

### problem with calibration of Levy models [closed]

Hey I try to calibrate different Levy models (VG, CGMY, Meixner,Kou,Merton) by minimizing RMSE but the result are very strange and unsatisfactory (I use COS method). For calibration I use OTM call and ...
63 views

I think that I understand how leverage works if one had a long strategy in equities and had some (roughly) fixed market value invested over time. Suppose that an investor has 10 million invested in ...
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### How does the real market calculate the option prices when strikes are very small?

I'm working on the S&P500 European index options data(call options). On 2017-10-23, we have the closing price as 2564.98, and risk free rate is 1.09%(3 months treasury bill). If I choose the ...
81 views

### Are there any public LIBOR Data sources?

I am looking for 1 and 3 month LIBOR rates available through an API. I am familiar with the rates available on FRED, but they are only available with a 1 week lag. Unfortunately, I'm looking for no ...
26 views

### PCA on mixed types of returns

I'm looking for some resources on how to use the PCA technique in the case of mixed return types, i.e. lognormal (say for FX, equity indices) and normal (rates). The idea is to create a factor model ...
145 views

### How to perform Monte Carlo simulations to price a Forward contract under the Schwartz mean reverting model?

Objective: (1) Implement the Euler Explicit Method for solving the PDE for option prices under the Schwartz mean reverting model. (2) Compare with a Monte Carlo simulation. I'm stuck with point 1 (...
51 views

### How to get exposure to realised volatility while being vega neutral?

Let's say I am predicting the realised volatility of a stock index. I am buying or selling straddles based on whether the predicted vol is higher or lower than the implied ATM volatility for the ...
63 views

### Brownian function and Clark's formula

I was reading a paper (link) from Richard Bass about Brownian functionals, and came across the following passage : Let $X_t$ be a Brownian motion, $F_t$ its filtration and $g$ a real-valued function. ...
41 views

### Number of days between two dates based on a given a calendar

I wanted to calculate the number of trading days between 2 given days. There is a discussion in https://stackoverflow.com/questions/62292979/using-quantlib-in-python-how-do-i-get-the-number-of-days-...
153 views

### Do stock returns show positive skewness?

Do highly liquid (blue chip) stocks exhibit positive skewness more than negative skewness? If so, would positive, rather than negative, skewness be an appropriate and intuitive prior when modeling ...
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### Real-time stock data/15 mins quotes for US stock exchanges? [duplicate]

I am trying to figure of if there are free sources or inexpensive sources to get this type of data. I see sites using BATS data, but BATS seems to have been bought out by CBOE and doesn't seem to have ...
255 views

### Clarification on Deriving Ito's Lemma

The classical approach to deriving Ito's Lemma is to assume we have some smooth function $f(x,t)$ which is at least twice differentiable in the first argument and continuously differentiable in the ...
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### Carr and Madan algorithm to avoid arbitrage in oprion prices

Hey in this text (https://arxiv.org/abs/1107.1834) in section 7 is described an algorithm which can delete options which generate an arbitrage. $C_ij$ is call option price with strike $K_i$ and ...
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### Would betting on network node traffic or behaviour be considered illegal in the US?

While taking this intro Coursera class https://www.coursera.org/learn/financial-markets-global. There was a student which asked the professor if anyone can start an exchange and whether it would be ...
139 views

### Portfolio Optimization via Entropy Pooling in R (Meucci)

does anybody have experience with the Entropy Pooling Approach by Meucci in R? I am currently trying to do a portfolio optimization with Stocks & Bonds, where a 101 example would be very helpful. ...
60 views

### Why are model-free implied volatility indices (like VIX) only available for large indices and a few large stocks?

The CBOE VIX (i.e. model-free implied volatility) is only available for larger stock market indices and a few large stocks (see the CBOE website). As I am currently working on deriving VIX for a ...
36 views

### How to prepare data for calibration

I want to calibrate different models by minimizing RMSE. When I use data from Schoutens (2003) everything is OK i.e I get reasonable parameters. The problem appears when I try to calibrate models to ...
132 views

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### Why a model like GARCH is only good for daily volatility and not for intraday volatilities?

I´m currently looking to implement an intraday volatility model and I´m new at the quant world and I learned how superior is GARCH family is for daily volatilities, but in the research stage I found ...
40 views

### Size Option in Vanilla

How to compute the price of a vanilla option (or a forward starting option) if there is extra optionality to change the Notional by a pre-determined percentage ($a%$, say)at some future time $t$ ...
78 views

### Can arbitrage arguments be rearranged to avoid selling? (Hull, Chapter 5)

Suppose forward contracts are traded on a consumption asset, so there aren't necessarily people ready and willing to sell the asset to jump on an arbitrage opportunity. Suppose the asset has no yield, ...
84 views

### forward contract on a defaultable zero-coupon bond

I'am trying to calculate the price of a forward on a defaultable zero-coupon bond. It is also true that the price will be given by Price a forward contract on a zero-coupon bond ? I guess the ...
667 views

I heard that there is no bid-ask spread in futures markets. Could anyone explain why there would be no difference between the selling and buying price of a futures contract? Thanks in advance!
52 views

### Behavior of Vega PnL for 6 month ATM S&P500 option

I am interpolating the vol surface for 6 months maturity from price data for S&P500 options. For this vol smile I compute the ATM strike. I then assume I can buy a call option at this strike, ...
70 views

### Counterparty Risk [duplicate]

I am looking for some good text books for Counterparty risk management and measurement with many working examples. Could you please suggest few such books. Thanks for your help.
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### Setting up arbitrage strategy in R

I am trying to construct an arbitrage portfolio $\textbf{x}$ such that $S^T\textbf{x} = 0$ and $A\textbf{x} \geq \textbf{0}$, where $A$ is the payoff matrix at $t=1$ and $S$ is the price at $t=0$. I ...
48 views

### Calculating Dollar-Neutral Strategy Net Return

An example in the book, Quantiative Trading, the net return of a dollar neutral strategy of IGE and SPY is calculated. ...
97 views

### Calibrate Stochastic Volatility Model

For stochastic volatility models, and any vol model I know, it seems the standard approach is to calibrate the model from option prices. As other user said, this seems a chicken egg problem - how do I ...
14 views

### Call options data from 18 April 2002 (Schoutens 2003)

Hey I would like to calibrate different models to call options prices from 18 April 2002. Schoutens used this data for calibration but unfortunately he write only months (screen). What can i do in ...