# All Questions

106 views

### Summary statistic for the average probability of default?

I have the following scenario: Let $X_i$ denote the event where some institution $i$ 'defaults' (don't worry about the exact definition of a default here, it is not relevant to the question at hand). ...
105 views

### how to back out levels from a forecast of differenced series

I have a non-stationary series of bond yields $x_{t}$ that are logged and differenced $$y_{t}\equiv ln\left(x_{t}\right)-ln\left(x_{t-4}\right)$$ From that, I get a series of forecasted values ...
151 views

### Finding the dynamics of a dividend paying asset under arbitrary numeraire

Assuming I have a dividend paying asset $S$ with dividend process $D$. Now I would like to use the bank account process $B$ as numeraire and determine the dynamics of $S$ under the the corresponding ...
249 views

### Directional View of Volatility

What is an option strategy that someone could employ to simply go long/short volatility?? Assuming I want 0 delta(0 gamma if possible) risk in my option position, how do I take a directional view on ...
180 views

### why is the BNS model the way it is

what I am puzzled about is, why dont we instead of having $$dX_t = \sqrt{V_t} dB_t - (\frac{1}{2} V_t^2-r-\lambda\Phi(\rho)) dt - \rho dZ_{\lambda t}\nonumber$$ we just ...
538 views

### How do I simulate stock prices for a 10 asset portfolio, over a period of 10 years in MATLAB? [closed]

If I have given vectors for return and volatility (i.e. I have two 1x10 vectors), and I assume at first that their correlation is 0 (meaning my covariance-variance matrix is just diagonal), how do I ...
294 views

### Basket Option weight sensitivity calculation

I am looking to find/estimate the "greeks"/option price sensitivities/derivatives for a basket option situation. In specific the change in price of a put option associated with a change in weight of a ...
537 views

### Which interest rate model for which product

Given the multitude of existing interest rate models (ranging from simple to very complex) it would be interesting to know when the additional complexity actually makes sense. The models I have in ...
201 views

### Model calibration to illiquid assets when pricing options with long maturities

Let us assume one is interested in pricing an option with a very long maturity (up to 20 or 30 years) on a liquid underlying. The market won't have liquid quotes for the higher maturities. Still you ...
251 views

459 views

### Is it wrong to use 'real world' probabilities for option valuation?

Is it wrong to use 'real world' probabilities for option valuation, even when the market is not liquid enough to delta hedge the option? My instinct is that it is wrong, because the time value of ...
491 views

### Calibrating Hull-White using volatility data

I would like to calibrate Hull-White model using volatility data.I am using [Park (2004)] paper as a reference. He suggests to minimize the following objective function: where the first term is ...
120 views

### Change of order size

For example I am put a limit order of size 10 at top bid. moments later, my algorithm detects we should have size of 50 here. So we request a update on this order. My question is, will we lose the ...
603 views

### Is it possible to understand financial theory without mathematics?

I am trying to develop a short course on financial theory, covering the fundamentals of forward and options pricing, and 'efficient market' theory. I want to reduce the amount of mathematics to a ...
429 views

### Lower bound of ITM Calls when computing Implied Volatility

Assuming the Black Scholes model and pricing formula of a European call option. Then, if the call is ITM, i.e. if $ln(\frac{S}{K})>0$, the $d_1$-term will go towards infinity as $\sigma$ goes to ...
188 views

### Estimate the market maker's price from the posted Bid/Ask and Trade price

If I see a Bid at 181.77 and and Ask at 181.78 for SPY and then immediately see a trade filled at 181.77 on BATS, then what can we conclude about market making activity? i.e At what price did the ...
289 views

### Reasoning for Bloomberg's short rate volatilty calculation

Bloomberg, in its documentation, explains that it calculates the short rate volatility for its Hull White implementation by multiplying the e.g. 10y IRS rate (divided by 100) by the 10y cap vol. Why? ...
96 views

### Stock Price Question

Can anyone show me how to answer this please? A stock has beta of 2.0 and stock specific daily volatility of 0.04. Suppose that yesterday’s closing price was 95 and today the market goes up by 3%. ...
223 views

### Is the number of outstanding shares a stationary series?

I'm doing a panel data analysis where the log of the freefloat number of outstanding shares is one of the explanatory variables, but it fails the Augmented Dickey Fuller and Person Phillips unit root ...
3k views

### Simulating the short rate in the Hull-White model

What is the best way to simulate the short rate $r(t)$ in a simple one factor Hull White process? Suppose I have $$dr(t) = (\theta(t)-\alpha r(t))dt+\sigma dW_t$$ where $\theta(t)$ is calibrated ...
215 views

### Is there any academic material regarding robust optimization with fixed transaction costs?

I'm looking to piece together a robust optimization model that handles robust optimization with fixed transaction costs and other combinatorial variables (e.g. asset count constraints). Here's what ...
198 views

### Volatility calculation for intra-day cash-or-nothing call binary option

Firstly, I do not have a quant finance background. This is new to me, and I imagine that this is a basic question for this group. I am calculating the price of a binary/digital option with ...
152 views

### Derivation of the Stochastic Vol PDE

I'm trying to follow the derivation of the stochastic vol pde for an option price - as given in Gatheral (The vol surface), Wilmott on Quant Finance and many other places. As usual one starts off with ...
80 views

### Is it illegal for a publicly traded company to publish inaccurate financial data?

If you are the book keeper for a publicly traded company and you misrepresent the financial earnings of the company (even if by accident) for an earnings quarter, is this illegal?
131 views

### Why does my posterior mean differs from Idzorek's results?

I have implemented two different expressions (Idzorek p.6, Walters p.51) of a posterior mean return calculation within a Black-Litterman framework. My results are the same, irrespective of the ...
600 views

### Papers and algorithms on bidding schemes for best order execution?

I'm building an automated option trading bot that executes common options multi-leg strategies (straddles, spreads) and I want to learn the best way to execute my orders. As you know, the bid-ask ...
274 views

I'm attempting a "hello world" of live algorithmic trading. A script that pulls in tick data, presents it visually, and allows me to buy / sell at the press of a button. Also a toggle between { fake ...
129 views

### How can foreign investment have a negative figure?

Just looking at http://www.tradingeconomics.com/japan/foreign-bond-investment Wondering how can foreign bond investment be negative? You can have 0 investment, you can have positive investment, but ...
483 views

### Data feed for 10 year government bond yields [duplicate]

I am trying to access a data feed for 10 year sovereign bond yields for countries, say the G20. I have tried world bank and IMF data api sources but to no avail. The data feed is used to update an ...
68 views

### Multivariate interpolation for estimating FDM in-between grid points

After implementing some FDM to price some option, there are gaps between our grid points that may be of interest. From reading around, it appears common to use bilinear interpolation to estimate ...
82 views

### What is the best way to describe latency?

What are good ways of describe observed tick data latency with a view to flagging when something is systematically wrong? For example, we would want to discount outlier ticks so that we do not alert ...
824 views

### T-Forward Price on risk-neutral measure

i have and question concerning the T-forward price definition on the Robert J.Elliot's book : Mathematics of Financial Markets. On his chapter 9, definition 9.1.3 p.249. He give the formula without ...
556 views

### Interest Rate Swaps on Mortgages [closed]

Is it possible to get interest rate swaps on mortgages? If not, why not? Are there models that describe this? Any direction would be great.
4k views

### Value of American Call vs Value of European Call when using implicit finite differences

I calculated values for put options (european and american) using the implicit finite difference method and compared them to black/scholes values. The values for american put options are higher than ...
77 views

### Finding Credit Risk Population Data

Are there any free or relatively cheap sources of aggregate data on credit risk for specific geographic regions, ages, and so on?
364 views

### what's the relationship between forecasted stock volatility and implied volatility?(option)

what's the relationship between forecasted stock volatility and implied volatility? I know that implied volatility is the volatility calculated by BS formula, is there any relationship between implied ...
332 views

### Estimate reasonable trade sizing based on daily volume

Let's assume we have data for daily volumes traded on some asset (and open interests as well). Now if we are planning to make a trade we don't want to fat-finger it and want it to be of a reasonable ...
124 views

### Economic indicators leading the yield curve

There is a lot of research on how the government yield curve can be used to predict the economy. The government yield curve is often seen as a leading indicator. But for which variables is the curve a ...
283 views

### Funding spread in FVA calculation

For the FVA calculation, is the funding spread (either borrowing or lending) treated as a piecewise constant function (i.e., if the length of the exposure is 5 month and I know the 3 and 6 months ...

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