# All Questions

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### how to obtain optimal portfolio with different borrowing and lending rates?

I have some risky assets and risk free assets and I am trying to find out optimal portfolio with constraints like following. Suppose I wish to obtain an expected return of 12%, what portfolio will ...
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### Mean Variance Higher Borrowing

Is it possible to have to such kind of mean variance frontier with higher borrowing rate (showing as returns decreases risk increases). If its possible please tell me implications behind such ...
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### Is there anyway to easily estimate and forecast seasonal ARIMA-GARCH model in any software?

I use R to estimate an seasonal ARIMA(8,0,0)(5,0,1)[7] model for the seasonal differences of logs of daily electricity prices: ...
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### Historical Financial Statement to Backtest in R

I would like to preface this by saying I am preparing for an upcoming internship this summer so I am extremely new to Quant Finance. At my university we have access to Datastream by Thomson Reuters ...
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### Why Beta Distribution for Credit Migration

When modelling credit migration probabilities (e.g. AAA to AA), research has indicated the use of the Beta Distribution simply because it fits empirical data. My question is; What are some other pros ...
6k views

### How to calculate stock move probability based on option implied volatility and time to expiration? (Monte Carlo simulation)

I am looking for one line formula ideally in Excel to calculate stock move probability based on option implied volatility and time to expiration? I have already found a few complex samples which took ...
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### How to calibrate the Hull-White model using cap prices?

I'm given cap prices and swap rates, and i'm trying to calibrate the Hull-White model to them. I then want to use the model in order to price a swaption. I know that the model can be calibrated from ...
35 views

### Finding Expression for Optimal Markowitz Weights

So there are two assets with return rates $r_1$ and $r_2$ which have identical variances and a correlation coefficient $p$. The risk free rate is $r_f$. I need to find an expression for the optimal ...
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### Various ways to choose bonds for a butterfly strategy?

What are the various ways to choose bonds for a butterfly strategy? For eg., I already know the most common one i.e., choosing short and long term for the wings (barbell) and the medium term for the ...
250 views

### Kelly Capital Growth Investment Strategy (Example in R)

In the paper Response to Paul A Samuelson letters and papers onthe Kelly Capital Growth Investment Strategy pages 5 and 6 Dr William T Ziemba, gives a praticle example on Kelly Growth. I’m trying to ...
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### Ibrokers: reqMktData extremely slow when adding tickers

I am trying to snap prices in R for the latest price for a list of stocks (around 150). When I snap them for 2 stocks, it's almost instantaneous: ...
58 views

### What is delta neutral

Does delta neutral portfolio mean you add up deltas of all positions and the sum should be zero? Is this true? Also, in a FX portfolio consisting of FX calls puts and Fwds, if FWD delta is given for ...
84 views

### Does the correlation of matrices have explanatory power when building a pattern recognition model?

I'm using 8 different variables (with daily observations) with the purpose to compare different months across the historical data. For that purpose I calculate the correlation between each month and ...
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### Which risk free rate is assumed by market when pricing american options?

I'm just started with finance, so maybe my question is dumb or answered elsewhere. Please guide me to relevant materials. According to put-call parity more time to expiration means more difference ...
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### How to reduce the variability of investment returns by increasing average expected return? [on hold]

I will illustrate my question with a simple example: Say a stock called ABC is currently trading at 100.00, with an average expected return of 0% per year, and has a 50% probability of touching 90.00 ...
206 views

### Is it possible to model general wrong way risk via concentration risk?

General wrong way risk (GWWR) is defined as due to a positive correlation between the level of exposure and the default probability of the counterparty, due to general market factors. (Specific wrong ...
160 views

### Stress Testing Methods

I'm working on the following task: Given quarterly data: a time series representing the 1-year realized (10 years of data) rates of default on a portfolio of mortgages a slew of ...
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### Overnight charges for brokers holding stocks [migrated]

I'm trying to learn about stock markets. I eventually want to invest a small amount over a long period. I notice on a lot of broker sites they charge an overnight fee for any stock held over night. I ...
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I'm trying to simulate stock prices using GBM. I am using the following formula, and MATLAB function, to determine the stock prices: $\nu = \mu - \frac{\sigma^{2}}{2}$; $S = S0*\text{[ones(1,nsims); ... 2answers 103 views ### How to annualise the volatility of non-iid returns? I have a series of monthly log-returns; let's assume the log-returns are normally distributed, but exhibit significant serial correlation. In the case of normal, i.i.d. returns, I can annualize the ... 1answer 59 views ### is Sum of P&L equal to portfolio value For a portfolio containing FX options, would the sum of P&L for each option be the portfolio value? 1answer 76 views ### Historical Data on$/yen forward exchange rates

Would anyone happen to know where I can find historical forward exchange rate data between the yen and dollar?
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### Do we need Feller condition if volatility process jumps?

It is fairly known that in affine processes, as Heston model \begin{aligned} dS_t &= \mu S_t dt + \sqrt{v_t} S_t dW^{S}_{t} \\ dv_t &= k(\theta - v_t) dt + \xi \sqrt{v_t} ...
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### TAQ NYSE OpenBook

Where can I get/buy the TAQ NYSE OpenBook for specific stocks on specific days? I don't need a whole year of all stocks. I just want to enter a day and a stock, so I can download the order book data ...
190 views

### what is a typical way forex brokerages can provide cheap leverage for their customers?

I'm not very well read in the area of high finance but I'm curious how forex brokerages are able to provide the backing for leverage that they can provide to customers. Is it possible to do this ...
563 views

### Risk Budgets with Target Portfolio Volatility

I'm working through the implementation of a risk budgeting approach as described in the recent Roncalli paper. The idea is that the portfolio manager sets a contribution of total portfolio volatility ...