1
vote
1answer
11 views

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 ...
0
votes
1answer
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 ...
0
votes
1answer
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 ...
0
votes
0answers
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 ...
1
vote
2answers
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: ...
2
votes
1answer
23 views

Why the negative sign in modified duration relationship

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?
1
vote
1answer
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 ...
1
vote
1answer
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) ...
2
votes
1answer
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 ...
0
votes
0answers
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 ...
0
votes
0answers
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 ...
0
votes
0answers
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 ...
-1
votes
1answer
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) ...
0
votes
0answers
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: ...
3
votes
1answer
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 ...
0
votes
0answers
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 ...
0
votes
0answers
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!
0
votes
1answer
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, ...
1
vote
0answers
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. ...
0
votes
0answers
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 ...
0
votes
0answers
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 ?
-1
votes
0answers
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?
1
vote
0answers
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 ...
4
votes
1answer
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 ...
1
vote
1answer
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 ...
1
vote
0answers
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) ...
0
votes
1answer
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 ...
1
vote
0answers
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 ...
0
votes
0answers
36 views

Trades Question

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 ...
0
votes
1answer
26 views

CDS spread sensitivity pattern

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 ...
0
votes
1answer
18 views

Adjusting index betas for spread DV01

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?
0
votes
0answers
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 ...
1
vote
3answers
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 ...
2
votes
2answers
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 ...
1
vote
1answer
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 ...
0
votes
1answer
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 ...
0
votes
1answer
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 ...
0
votes
1answer
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 ...
1
vote
0answers
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 ...
1
vote
0answers
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 ...
1
vote
0answers
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 ...
0
votes
2answers
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 ...
2
votes
0answers
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: ...
0
votes
1answer
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 ...
1
vote
2answers
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 ...
0
votes
0answers
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: ...
0
votes
0answers
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 ...
0
votes
0answers
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, ...
0
votes
1answer
25 views

Calculating unweighted performance of stocks within a period

The well known calculation of unweighted index of stocks is just calculating an arithmetic average. And then, to calculate the performance of the index, I calculate the %change of the unweighted ...
0
votes
1answer
41 views

Interpretation of vega out of BS formula

I am comparing Monte Carlo estimates of VaR (using importance sampling) under both the normal and student distributions. I am also considering risk factors other than log-prices; in particular, ...

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