# All Questions

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### Utility Theory - Certainty equivalent approximation formula derivation

I have a question on an exercise from chapter 9 of D. Luenberger, Investment Science, International Edition, where I suspect there may be a typo. Exercise 8 (Certainty approximation) There ...
14 views

### What is the correlation of stock options?

I want to calculate the VaR of two correlated option positions, and I know the correlation between stock price returns. I want to separately calculate $Var_1$,$Var_2$ for option 1 and 2, and then use ...
15 views

### Gamma Imbalance Explanation

Can someone please give me an explanation as to what put-call gamma imbalance specifically refers to (imbalance of what?), and why they may exacerbate volatility from a market perspective, and why the ...
30 views

### Performance of Open Source Time Series Database for Financial Market Data

We would like to store financial tick data in a database (potentially billions of rows) and then create aggregated (open-high-low-close) bar data from it (e.g. 1min or 5min bars). It was mentioned ...
27 views

### Why QuantLib computes the fixed-leg NPV by this formula?

I'm trying to understand how QuantLib creates (bootstraps) a yield curve from a vanilla swap at the source level. I have the following test code: ...
23 views

If $P$ is price, $D$ modified duration and $y$ yield then we have the relationship, $$dP=-D \cdot P \cdot dy$$ Why is there a minus sign and what does correspond to?
31 views

### What is this ratio: expected returns on stock divided by risk free rate?

So this ratio has come up in some work I'm doing and I can't seem to figure out if it is attested in the literature. Here's the setting: Given a risk free rate $r(t)$ and a stock price which follows ...
13 views

### Modeling credit utilization and stock market growth

I relatively new to financial mathematics but I am wondering if at all there exists a relationship between credit utilization (the rate at which the public accesses credit from financial institutions) ...
34 views

### How to show that this exponential utility function is wealth-independent?

I have a question on the following exercise from chapter 9 of D. Luenberger, Investment Science, International Edition. Exercise 2 (Wealth Independence) Suppose an investor has exponential ...
14 views

### Portfolio Hedging under Uncertain Correlations

I have a portfolio ($w_0=1$) and two hedging assets ($w_1,w_2$) and a co-variance matrix for the three $\Sigma$. However the co-variance $\Sigma$ is only an estimate. For fairly well behaved assets ...
23 views

### residential mortgage prepayment modelling

I'm trying to develop a model for predicting prepayments, after reading several arcticles about it over the net. the model should use market data and be behavioral model (i.e. regression/survival ...
15 views

### Does the low CAD positively or negatively impact Canadian Investors? [on hold]

I'm interested in getting into investing, but I have a limited amount of business experience. I plan on putting a small amount of money on the market just to see how it goes. I don't quite understand ...
25 views

### Numerical computation of Heston model Integral: Simpsone Rule or Gauss-Legendre Method

I want to price a call option using the Heston model for a given set of parameters. theory from URL: http://elis.sigmath.es.osaka-u.ac.jp/research/Heston-original.pdf The integral equation (18) ...
21 views

### Are low oil prices and low shipping costs really a leading indicator for a shrinking economy

Recent article in Bloomberg saying that lowered shipping costs n the form of the Baltic Dry Index and lowered oil prices are in someway a concern for a growing global economy: ...
60 views

### Research topics - neural networks and market liquidity

I am a masters student looking for some direction on using neural network on market depth data to help predict market liquidity and bid-ask spreads. Can some of the more experienced people give me ...
19 views

### Interpretation of the CAPM model under Stochastic Portfolio Theory framework

The CAPM under the Modern Portfolio Theory approach is given as: $$R_i = \beta_i R_\pi$$ Where $R_\pi$ the portfolios expected excess returns Under the stochastic portfolio theory approach:  r_i ...
15 views

### How to pull and/or calculate implied volatility of an ATM Call as its quoted everyday in Python? [on hold]

Set of tasks: Pull quote for option with terms T = 1, S = K Calculate Implied Volatility of this option Plot datapoints Thank you folks!
17 views

### calculate annualised tracking errors

I have 36 months of relative returns. I need to calculate the annualised tracking error. So using 36 months of returns is it simply like below, ...
28 views

### Bloomberg implied volatility smile for equities

I was wondering if someone knows how Bloomberg does their computations for the implied volatility smile for equities. As far as I understand, they use a lognormal mixture to model the stock prices. ...
18 views

### Send TRAIL STOP order when price hits a certain level, with IB TWS

Posting here after searching around and not finding any responses to basically the same question that I saw on EliteTrader, with another variant posted 10 years ago (update: the same question on ...
19 views

### labeling high frequency signal data

Was curious if anyone has methodologies they can recommend for systematically labeling (discrete) signals generated from intraday tick data for use in classification or detection models ?
13 views

### Simulate stock prices following t distribution in matlab [on hold]

Trying to simulate different price paths for a stock following the t distribution. Can anyone provide code?
12 views

### number of trades - flaw in White Reality Check?

I went through Whites paper of the reality check for multiple strategy testing. To summarize at a simple example: I have 2 strategies, s1 and s2. s1 gives 2 signals and therefore 2 returns, s2 gives ...
73 views

### Difference between Sharpe Ratio and Information Ratio

I am finding it difficult to understand the difference between the sharpe ratio and the information ratio and the relationship between the two, and cannot find a decent reference that breaks it down ...
25 views

### Full Kelly portfolios having same weights as tangency portfolios

I'm currently comparing empirically the differences between Markowitz and Kelly portfolios. I calculated the Kelly weights for monthly return observations over 10 years for a sample of 50 stocks from ...
35 views

### How to calculate yield spread?

I came across this multiple choice question on yield spread and I can't understand why the reasoning for the selected answer is correct.Can you confirm or clarify ? ( emphasis in the text is mine) ...
22 views

### Isolating single assets standard deviation in a portfolio accounting for correlation

I am running a simple Monte Carlo analysis in Excel using mean return, standard deviation and the =NORMINV(RAND(),mean,std dev) method. I have a correlation matrix that I use to compute the portfolio ...
25 views

### Want to understand the links and relationship between all the risk metrics?

For Example : if Risk weighted asset (RWA) increased or decreased this month, which other risk metrics could have influenced RWA to increase or decrease. Also in different situations like, upward ...
36 views

Two very specific questions (they are more database questions, but need specific knowledge): A same stock could be traded in different currencies in a same exchange? A bond is always traded in his ...
26 views

From pag. 27, Table 6: http://www.opengamma.com/sites/default/files/pricing-and-risk-management-credit-default-swaps-opengamma.pdf Why do sensitivities of CDS are slightly negative before the ...
18 views

If you have an index and have measured its beta with respect to the overall market, how would you go about adjusting it against spread dv01 and why would you want this number?
28 views

### Definition of sharpe ratio maximising and variance minimising portfolios

In this paper, http://papers.ssrn.com/sol3/papers.cfm?abstract_id=2226985, in the derivation of the mean variance efficient portfolio using lagrangians in the appendix, on page 29, the two portfolios ...
81 views
+50

### Sources of index data (MSCI, FTSE, S&P etc.)?

Who are the major suppliers of index data that cover multiple index providers, e.g. MSCI, FTSE, S&P etc? There are a huge number of people sourcing e.g. equity data, but index data is much harder ...
318 views

### Why does changing the time step size in my Monte Carlo simulation change my result a lot?

I have written some software to price a call option using Monte Carlo simulation. It produces a price which is consistent with the model when I set the time step as recommended in a tutorial that I ...
32 views

### Sharpe Ratio for strategies with different rebalancing period

Strategies published in journal papers like SMB, HML, UMD have annualized sharpe ratios around 0.5. These long-short portfolios are formed with monthly rebalance. People who backtest some daily ...
16 views

### Force of Interest Compounding at Annual Rate i

I'm working through some actuarial practice and am lost as to what's going on with the differentiation here (it's been a while since I've had calc): Derive an expression for $\delta_t$ if ...
22 views

### Put-Call Parity Arbitrage Exploitation for Binary-Asset-or-Nothing Options

Is the Put-Call-Parity valid for binary (asset-or-nothing) options? If not, is there another formula for such exotic options? I know that for regular options, there are arbitrage opportunities when ...
36 views

### Projecting cash flows via Monte Carlo Simulation

I am looking to model the cash flows associated with a company as part of a Project finance experiment, where I got the idea from here. I'm looking to project cash flows for an Automotive company in ...
37 views

### Historical calibration of Hull-White model

I have a question concerning 1-factor Hull-White model. For my master project I need to calibrate it to compute Counterparty credit risk metrics. I know that the model might be calibrated either for ...
18 views

### Calculate and compare IRR among products and companies

I am trying to calculate return on investment for a couple of companies and their respective products. I have two main products: credit card installment loan Owners would like to be able to ...
31 views

### How to calculate the estimation error of portfolio variance using propagation results?

I am trying to find a conservative approximation for the propagated estimation error of a investment portfolio's variance (comprising two assets), given we know the estimation error for the variance ...
60 views

### Portfolio Strategies Project

My first assignment for my Quantitative Finance Masters is to design a portfolio that theoretically makes money under any market movement. I am also asked to state all necessary assumptions. What ...
48 views

### Approximate asian geometric option with Heston

I am trying to implement Theorem 1 from this Journal in RStudio. The journal says the it is possible to find a approximate price of a geometric asian option in a Heston setup this way: ...
16 views

### How to find optimal noise covariance matrices Q & R

I am trying to use the discrete Kalman filter for forecasting and I wonder what is commonly considered as the optimal way of determining the measurement noise covariance constants (Q and R) for a ...
51 views

### does there need to be risk-neutral agents in the market to enforce risk-neutral pricing?

I'm trying to understand a fundamental link between mathematical finance and economics. I understand that risk-neutral pricing is free of arbitrage with replicating portfolio. Does risk-neutral ...
30 views

### Are limit orders mostly being matched by market orders?

When going over order book data, most limit-order executions look similar to the following: ...
13 views

### Estimating Credit VaR using a simulation of joint defaults with a copula

I'm trying to follow the steps Malz gives to calculate Credit VaR using simulation of joint defaults with a copula. I'm having trouble understanding some of the steps. My math knowledge is rather ...
10 views

### Unexplained delimiters in Nasdaq ITCH file

I'm working on writing an order book constructor for Nasdaq ITCH v5 files, and I'm noticing some occasional message identifies/ delimiters that are not included in the ITCH5 specification, ...