# All Questions

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### Which one is best Performance evaluation measures?

I want to compare the performance of various volatility models like GARCH, eGARCH, and gjrGARCH from actual volatility(computed using high frequency data). I found 3 common performance evaluation ...
18 views

I'm currently working on the requirements phase of a software project, and need get an overview of the industry regarding the tools available for Algo Trading. My first idea was to look for Gartner's ...
23 views

### Example of optimal delta hedging in G. Barles, H.M. Soner option pricing paper

There is a paper Option pricing with transaction costs and a nonlinear black-scholes equation by Guy Barles and Halil Mete Soner. And there is a section about optimal (delta) hedging, which I do not ...
33 views

### Match different option high frequency databases

I downloaded the “E-mini S&P 500 (Dollar) Options for 1/10/11” Top-of-Book (BBO) data. If you are interested you may download the data from the following link (approx. 80MB zipped and 1GB ...
29 views

### Implied volatility as price transform

Implied volatility The way I understand it, traders often think of implied volatility as a transformed price. So in a way, the Black Scholes model is considered a 'model-free' blackbox that takes a ...
33 views

### Pricing Forward Start Option with PDE

I am looking for references (books and papers) or suggestions on how to price forward starting calls using a PDE approach typically in the Heston model (In the BS world, the computation is trivial), ...
26 views

### Pricing options under a specific framework

I have a specific framework in mind and I would like to value options under this framework. I am not sure whether a closed form solution exists or Monte Carlo methods would work. The framework I have ...
64 views

### Clarify a derivation in Pat Hagan's Convexity Conundrums

I am looking for help in understanding the algebraic derivation to go in between some of the lines in Pat Hagan's famous Convexity Conundrums paper e.g. how he goes from 3.4a to 3.5a.
20 views

### Fair Price CDS Spread for a Bank

I have been using CreditGrades to calculate fair one year CDS spreads for firms. However, the authors of the model explicitly say that the model does not hold for banks or financial firms. If I need ...
6 views

### Deduce expected exposure profile from option/structure delta?

I am thinking about whether there exists a relationship between the delta of an option (or any structured derivative) and it's expected positive/negative exposure? An intuitive question would be ...
25 views

### Equivalent Definitions of Self-Financing Portfolio

Consider a multi-period model with $t=0,...,T$. Suppose there is a bond with $B_0=1$ and $B_t=(1+R)^t$ and a stock with $S_0=s_0$ and $$S_{t+1}=S_t\,\xi_{t+1},$$ with $\xi_t$ iid random ...
17 views

### Significance testing of average returns from Sharpe ratio

I'm aware that one way to do significance testing on a strategy is based on the sampling distribution of its Sharpe (see, e.g., Lo, 2002 and Opdyke, 2008). However, it appears to me that there's ...
34 views

### Can the money market break in a crisis situation?

I am researching the question, what happens during a crisis situation to the money market. Can it break? In 2007-08 there is evidence that liquity hoarding from banks became a rather common problem. ...
37 views

### What risks is an exchange exposed to?

Putting aside operational/reputational/business risks for a minute, a financial institution is concerned with the risk of losing money on their positions. What about an exchange ? I can only think of ...
22 views

### Real TIme/Historical weather data

I am looking to incorporate weather data into my algorithmic models. What is a good source to find historical + real time weather data by zipcode or region? Any help will be appreciated! Preferably an ...
50 views

### portfolio optimization averaging weights, what are benefits?

I'm playing around with different portfolio optimization techniques. Amongst others I was also looking at the resampling method, especially the one described in Meucci. I have two general questions ...
34 views

### Negative risk neutral probabilities economic argument

We know of plenty ways to extract risk neutral distirbutions from option prices (for example Breeden Litzberger) but there is no real analysis on how to interpret negative state prices (Haug 2007 for ...
63 views

### How does Algorithmic Differentiation work and where can it be applied?

The title says it all, but let me expand on it. Algorithmic differentiation seems to be a method that allows a program / compiler to determine what the derivative is of a function. I imagine it's a ...
17 views

### Testing out ADX calculator [on hold]

I'm trying to program an ADX calculator in python, however I don't know if it is correct since I'm still a bit shaky on the financial side of things. I haven't found an ADX calculator online ...
68 views

### Fourier Transform

In a notes on "Option Pricing using Fourier Transform": Price of plain vanila call is given by  C(t, S_t) = e^{-rT}\mathbb{E}^{\mathbb{Q}}[(S_T -K)^+|\mathcal{F}_0] = e^{-rT} \int_K^{\infty} (S_T ...
83 views

### Logistic Regression of tick data

I've been given some data (it's financial tick data) and I want to predict based on some observed variables whether the next move will be up, down or unchanged. So I have been trying to use ...
14 views

### Dispersion & Correlation [on hold]

Do dispersion trades/strategies(using straddles or strangles) still produce alpha or is the method over used? By dispersion I mean profiting from the IV difference between an index/etf and some ...
15 views

### Understanding CAPM, CML, and efficient portfolios

I'm trying to understand the CAPM model and how we can use it to understand efficient portfolios. Specfically, I'm trying to use the CML line (mapping expected returns and standard deviations of ...
21 views

### Is the delta of a call option a martingale using the stock numeraire?

For example in the Black_scholes case the delta N(d1) does appear to be equal to the expectation (under the stock measure) of the delta at expiration, which is the expectation of I(S(T)>K). Is ...
68 views

### Why do volatility and correlation increase in times of crisis?

can somebody please explain to me why volatility and correlation increase in times of crisis? It is connected somehow to the herding effect. But I cannot really explain it. And also why are negative ...
16 views

### Find all possible permutations of asset weights in a given portfolio?

I need to find all possible asset weight combinations for an 8 asset portfolio. Each weight is a multiple of 10 (0, 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1) Some assets can be weighted with ...
27 views

### How to use BA ii Plus to calculate the payback and discounted payback period? [on hold]

How to use BA ii Plus to calculate the payback and discounted payback period? Is it simply a matter of pressing another couple of buttons following calculation of the NPV and IRR?
30 views

### How to Calculate Return Option with Forward Measure

I am trying to computing the price of an option at time $t$, with payoff $X = \frac{S_{T_2}}{S_{T_1}}$, at time $T_2$, where $t < T_1 < T_2$. Here how I compute it: Using the forward measure ...
23 views

### efficient portfolio with given risk

Is there a formula to derive an efficient portfolio to maximise the return, x'mu, for a given risk, x'S x (where x are the portfolio coefficients, mu is the mean return for each asset and S is the ...
43 views

### CVA using difference between 2 counterparty's spreads

The approximation to calculate CVA as a spread is $CVA = Spread * Expected$ $Exposure$. I assume this means the counterparty's spread over a proxy for the risk free rate such as LIBOR or OIS. Is this ...
32 views

### Validating a Credit Scoring Model without Data

Fellow Quants, Suppose you have a credit scoring model that is developed without the aid of statistics, because (unfortunately) there is no historical default/loss data in your portfolio. The ...
121 views

### How to price a path dependent exchange option using?

Assume you have two stocks $S$ and $P$ so that at initial time $t = 0$: $S_0 > P_0$. You bought an option which pays off $S_T - P_T$ as long as $S_t > P_t$ through the time $0 < t < T$. ...
37 views

### Is marginal probability of default the same as conditional probability of default?

I'm thrown off by the term marginal probability of default. I've seen it defined by some authors as synonymous term for conditional probability of default conditional probability of default: ...
22 views

### Why is the volume 0 according to Yahoo! Finance? [closed]

According to Yahoo! Finance the S&P 500 had a 0 volume on 2015-05-12: S&P 500 Price @ 2015-05-12 Seems like an error? This is the only occurrence of a ...
39 views

### Mean variance efficient portfolios and target returns

If I use mean variance optimisation to create an efficient portfolio with a target expected return of 20% in a year's time and find that the actual return at the end of the year was 24%, what explains ...
23 views

### Judgemental credit scoring

I have read that if I want to built a model for a new segment, new product and with only 20 historical cases I should opt for a Judgemental credit scoring tool. With a panel of experts and field ...
60 views

### Option greeks vs Position greeks

I know that when it comes to delta, you would calculate your position delta (of a stock position) as follows: option delta * position size * 100 For example if I ...
54 views

### Calibrating stochastic volatility model from price history (not option prices)

For stochastic volatility models like Heston, it seems like the standard approach is to calibrate the models from option prices. This seems a bit like a chicken and an egg problem -- wouldn't we ...
16 views

### Solving Black Scholes PDE using Laplace transform with barrier up and in, up and out call option

I tried to finish the option pricing in european barrier up and in, up and out call option using Laplace transform. The barrier option there is a boundary condition. Can you explain step by step ...
29 views

### Swaption on a swap with 0 year tenor

Any ideas on valuation of IRS swaption on a swap with 0 year tenor? As an example, we have a 5 year swaption, on expiration it is cash settled; the underlying swap tenor is 0 years with excercise and ...
46 views

### Comparing volatility using GARCH

Hi, I am investigating if the policy of inflation targeting lowers the volatility of inflation. I have ran the GARCH regression: Inflation(t) = C + Inflation(t-1) + Inflation(t-2) + Error, but ...
37 views

### Comparing Implied Vol. to Historical Vol. using intraday data

I'm interested in estimating what my profit/loss would be for continuously gamma scalping a delta hedged option over the course of one day, using historical intra-day price data. I found an equation ...
28 views

### Seasonality of Securities & Dummy Variable Regression Analysis

I have some pricing data for some securities that I am looking at for seasonality. 1 My Data is organized as: Date Ret DVar1 DVar2 ...... date % 1 0 date % 0 1 ...
53 views

### Calculating the volatility for Black Scholes

The following problem is from the book by Hull. I did it but I am not sure it is right. I am hoping that somebody here can tell me if I did it right and if not where I went wrong. Thanks Bob ...
18 views

### Credit risk terms differences:

What are the differences between these terms: Contingent Credit Exposure Exposure profiles, Settlement Exposure, Negotiable Paper Exposure. Many thanks!
13 views

### Comparability of random and fixed effects results

I have data of 15 pension funds over 10 years. I want to analyze the relationship between the funding ratio of a pension fund and the asset allocation. First, I do the analysis with the proportion of ...
11 views

### Foresight bias in least square monte carlo

Foresight bias means we tend to over estimate the American option value. This we observe in other areas of statistics - e.g. in sample test almost always gives better prediction than out of sample ...
85 views

### open problems in mathematical finance

What are open problems in mathematical finance that use fundamental concepts of mathematics (functional analysis, geometry and topology, algebra and number theory etc.) and not data-driven. I have ...
28 views

### For a Fama-Macbeth regression , How does one predict the returns based on the model?

Fama-Macbeth does a two-step regression i.e a time-series and cross-sectional regression and we estimate betas and lambdas, so how does one predict based on these parameters, which one to choose?
35 views

### Methods or models to predict activity of clients of a bank

I'm a Physicist but I'd like to know if there are some methods or models to predict the activity of the clients of a bank. I heard that banks are interested in this sort of analysis so I got curious ...

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