8
votes
5answers
2k views

Why is the Drawdown measure not used for portfolio optimization?

I was asked yesterday by a colleague why we are doing asset allocation using optimizers which target, for a minimum expected return: the portfolio with the minimum variance or the portfolio with ...
6
votes
4answers
993 views

Which data service to buy for redistributable data?

This is a follow-up to my previous question regarding anyone whom wanted to 'donate' data. So far no one has stepped up (learning more about buying and selling data, I realize that I'm going to have ...
1
vote
0answers
52 views

volume augmented garch(1,1) model in matlab

Actually I want to add volume traded of a stock in my Garch(1,1) model to forecast the volatility.In Matlab I can specify the model as garch(1,1) and then use estimate and forecast commands.But I am ...
0
votes
0answers
59 views

Volatility clustering but (G)ARCH not good fit

I'm looking at a time series that appears to be white noise. The ACF/PACF are in the test bounds. Applying the Ljung-Box test for various (maximum) lags gives me high p-values (i. e. I cannot reject ...
0
votes
0answers
44 views

Transform the American cash-or-nothing call into a linear complementarity problem for the diffusion equation

Transform the American cash-or-nothing call into a linear complementarity problem for the diffusion equation and show that the transformed payoff is g(x,τ) = be^[(1/2)((k+1)^2)τ+(1/2)(k−1)x]H(x),  ...
1
vote
1answer
188 views

Bloomberg ticks is difference from Reuter ticks?

when I using Bloomberg excel plugins to retrieve the ticks and compare with Reuter RDF data, for some UK equity stocks in same days, the number of ticks and sum of total value is difference, why will ...
2
votes
3answers
118 views

Difference betweem martingale property and adapted filteration

What is the difference between a random process that is adapted to a filteration and one that had the martingale property. It seems the two notions are quite similar and would be helpful to construct ...
1
vote
2answers
68 views

Calculate alpha (CAPM) in “cross country-portfolio”

Assume I wanted to compute the alpha (in CAPM sense, i.e. $r_i - r_f = \alpha_i + \beta_i(r_m - r_f) + \epsilon_i$) of a stock. So I take, say, monthly returns of a stock $i$ for 1 year. Subtract the ...
0
votes
1answer
72 views

How to derive equivalent martingale measure using Ito's Lemma

Can someone explain how to get equation 27.14 below? I understand the first usage of Ito's Lemma to get $d(\ln f-\ln g)$ but I do not understand how to use Ito's Lemma to go from $d(\ln \frac{f}{g})$ ...
4
votes
2answers
447 views

Looking for C# library that provides/contains performance analytics

I am looking for a C# .Net library that provides trade performance analytics similar to R-PerformanceAnalytics. Basic return statistics, draw-downs, risk-adjusted returns, risk (variations), ...
0
votes
1answer
53 views

Derive instantaneous forward rate

Given that $P(0,T)=e^{-RT}$, how does one get the formula for the instantaneous forward rate below? Specifically, how does one get to the partial derivative in the formula? I'm sure the answer is ...
2
votes
3answers
268 views

Please advise on the choice of an automated trading framework

I'd like to start automating my trading strategies. I'm not looking for a fast and easy solution, therefore the programming language is not important for me, I am ready to spend an extra year to ...
1
vote
0answers
41 views

Order 1.5 strong SDE integration methods for systems with diagonal additive noise

I'm looking into simple-to-implement and efficient order 1.5 strong SDE integration schemes for my system. My noise is diagonal and additive (possibly time-varying). Thus methods designed for either ...
1
vote
0answers
34 views

Effect of kernel smoothing on correlation

Instead of deriving correlation matrix on standardized returns (z scores) would it not be more accurate to kernel smooth the cdf and then norminv the cdf values for the return z score and then ...
1
vote
1answer
403 views

What is the equation for Garman-Klass volatility?

I want to calculate realized/historical volatility for the underlying products of various options using the Garman-Klass estimator, but I can't see to find an equation, although I know it involves ...
1
vote
2answers
419 views

Is there a formula for future value of a growing annuity with yearly payment growth and monthly payments?

My example is saving for college: assume a start of 0 balance deposits of 200 made monthly, every year they increase by (g) 2% to account for salary increases, first deposit made at the end of the ...
2
votes
1answer
102 views

Asset volatility in Merton model

I am currently working on my thesis where I discuss the Merton default probability model. I have a huge sample of US firms for the period 1990-2010. I use both numerical and complex iterative approach ...
2
votes
1answer
95 views

Is there an easily implementable alternative to lognormal growth (something with fatter tails)?

I have a toy model in Excel for the growth of a investment portfolio. I assume iid lognormal annual growth factors: =EXP(mu+sigma*NORM.S.INV(RAND())) where mu and ...
0
votes
1answer
95 views

Forex trades: what time zone are trade and value dates specified in?

When receiving a value date of D from the counterparty for a trade in NZD/USD, is D assumed to be date D in Auckland date D in New York date D in UTC date D in some arbitrary time zone ? There ...
2
votes
2answers
365 views

Why does it “say” portfolio diversification not suitable during market turmoil?

Currently I am trying to get a hold of MPT, asset allocation and related applications. While reading a particular resource, it says diversification works best for "normal" financial markets and ...
1
vote
2answers
159 views

Beta arbitrage in CAPM

i'm following the "Computational Investing 1" course at Coursera.org, I was affascinated by the Beta arbitrage of CAPM Video: https://class.coursera.org/compinvesting1-002/lecture/view?lecture_id=119 ...
0
votes
2answers
95 views

Why does Futures contract credit and debit a position daily, if it has “locked” the price?

I thought I had understood futures contract. But it seems the daily settlements betray my understanding. Futures contract provides price & product safety to involved two parties. E.g. Wheat ...
1
vote
3answers
369 views

Calculate correlation between two sub portfolios and the combined portfolio

I have two sub portfolios (lets call them portfolio a & portfolio b - a portfolio is just a vector of weights that sum to 1) that combine to create a total portfolio. I also have a 2 x 2 ...
0
votes
0answers
49 views

Why is that maximizing stock value, under uncertainty, is a better option than maximizing profits?

I've been trying to access the papers that state that kind of problem, but most of them need payment for access and I am on a student budget. I know that maximizing profits=maximizing stock value in ...
1
vote
1answer
218 views

Given a correlation martrix, calculate portfolio's correlation with its assets

Find correlation vector like $[ d e f ]$ where d, e and f represent correlation of P(portfolio) with its assets A, B and C respectively. The assets A, B, C can be another portfolio. In order for ...
2
votes
1answer
40 views

Hansen-Jagannathan bounds derivation: last step is not clear

Pennachi's "Asset Pricing" chapter 4 derives: $$ \frac{E[R_{i}-R_{f}]}{\sigma_{R_{i}}}=-\rho_{m_{01},R_{i}}\frac{\sigma_{m_{01}}}{E[m_{01}]} $$ Then, he states that the fact that $-1\leq ...
1
vote
2answers
88 views

How to price long dated options most efficiently?

hi question is how to price a long dated option most computationally efficiently? With European, you use Black Shoals (yes assumption constant vol/rates...etc) but it's a simple algebraic formula. ...
4
votes
5answers
4k views

Utility to download historical Implied Volatility data from Interactive Brokers?

Does anyone know of a utility that can download historical Implied Volatility (IV) data from Interactive Brokers' Trader Workstation?
1
vote
0answers
51 views

rugarch and rolling estimation

I use Rugarch for a long time in order to calibrate GARCH models on FX rates time series and perform simulations. I am trying to understand the ugarchroll method. However even if I can find plenty of ...
0
votes
0answers
27 views

Price of portfolio with target volatility

Consider the following: We have two assets, S1 and S2, and with each asset is associated a volatility, v1 and v2, respectively. Now let's say v1 < v2, and we want to create a portfolio of S2 and ...
0
votes
0answers
43 views

Credit Spread - pricing Option and Fixed Income

hi how do you handle credit spread 1. For Option with Equity underlying 2. For Fixed Income/Bond I understand there're two options: a. Expected Loss from Probability of Default & Recovery Rate ...
3
votes
2answers
204 views

How do insurance companies use interest-rate swaps?

I have heard that insurance companies make use of swaps and am just trying to get some clarity on that: An insurance company (assume life insurance) has a fixed obligation to pay in the distant ...
0
votes
1answer
115 views

Where can I find historical data for volatility estimation?

I'm trying to estimate volatility following Shreve book, so I need observations of $f(t_j,t_j+\tau_k)$ and $f(t_j+\delta,t_j+\tau_k)$, where $t_J<t_{J-1}<\dots<0$ and $\tau_k$ are relative ...
1
vote
0answers
106 views

Pricing binary options with kernel density estimation

Suppose I have a large enough set of prices of an asset, from which I can extract the following function: $f:T\to\mathcal{D}$, where $T$ is a fixed finite set of time intervals (say, 1 minute, 2 ...
2
votes
1answer
179 views

Square-root-of-time and autocorrelation

My question is that when we have autocorrelation in daily volatilities can we scale daily volatility to annual basis using square-root-of-time rule? Does it breach the main assumption of the rule ...
5
votes
0answers
80 views

2-state HMM / ARMA process?

I have issues with this problem: Let $\{X_t, t\in \Bbb N\}$ be a 2-state stationary Markov chain, with transition $M$ (and $M(1,2)\neq 0 \neq M(2,1)$), let $\{W_t, t\in \Bbb N\}$ be a strong Gaussian ...
0
votes
1answer
70 views

Need weighted global stock index data (components / weights)

To implement a portfolio generator, I require a set of suitable stocks. Ideally it would use the components of the MSCI World Index and use the index weights for the probability of picking a stock ...
1
vote
1answer
52 views

In a mis-matched trade who profits?

I am building a service similar to the BullionVault where users can buy and sell bullion. They will be placing their Buy and Sell orders on the service. Matched orders will get executed. My question ...
6
votes
4answers
350 views

Large (5K-10K) non positive definite (particularly near singular) covariance matrices and treatments for Cholesky decomposition

I have a very large covariance matrix (around 10000x10000) of returns, which is constructed using a sample size of 1000 for 10000 variables. My goal is to perform a (good-looking) Cholesky ...
1
vote
1answer
44 views

Yield to Maturity

For a bond with market price $P_t$ and fixed payments $c_n$, I'm told the yield to maturity is given by the solution $Y$ to the equation $P_t=\sum_{n=1}^N c_n e^{-Y(t_n-t)}$. Firstly, I'm not great ...
1
vote
2answers
330 views

fair price for a call option

I am struggling with the following problem: An investor is considering a European call option, whose price $C_0$ is yet to be determined, on the shares of a company called XYZ. You know that : the ...
1
vote
1answer
133 views

Calculating Variance Explained from PCA Loadings

I have a return history for a universe of risky assets and I've run a principal component algorithm and obtained a loadings matrix (num_factors by num_assets) for the first 5 factors. I have a ...
1
vote
1answer
127 views

Where can i find tick data for futures contracts [duplicate]

Looking for places which can give me historical tick data for free or for the cheapest price. Don't really need it to be live , can be delayed too. What are my options. Mainly looking for tick data ...
4
votes
3answers
268 views

Why are factor models so popular for risk analysis of portfolios?

As titled, my question consists on asking for why in the most of academic papers one almost always finds that when you try to model asset returns, one needs to adjust for risk factors before analyzing ...
1
vote
3answers
118 views

What does “true”volatility mean in volatility comparison?

In Sinclair's book, wee need to compare standard deviation with "true volatility" to check the power of the model suggested, close -to-cloce, or Parkinson formula, etc. What do we mean here by "true" ...
1
vote
1answer
31 views

How to reason about leverage in terms of elasticity

Return of an investment for a given period is by definition: $$r = \frac{P}{W_0} - 1$$ where $P$ is the price of the investment at the end of the period, and $W_0$ is the initial investment. I want ...
0
votes
0answers
165 views

Convexity of Portfolio Containing Eurodollar Future and Forward Rate Agreement

Assume an individual is a buyer, i.e., long, of one Forward Rate Agreement and a seller, i.e., short, of one Eurodollar Futures contract. Does the collective portfolio have positive or negative ...
0
votes
0answers
18 views

Question about allocating value among different class in capital structure

I come across a task regarding alloation of value among different class in capital structure. I took reference from ...
0
votes
0answers
73 views

America option early exercice boundary via Monte Carlo simulation

I am trying to calculate an american option price via the simulation of the early exercise boundary using the method presented in this document: Monte Carlo Method For pricing a put Option. I have ...
0
votes
0answers
42 views

Sketching payoff diagrams- Straddle and Butterfly (when t tends to 0)

I want to sketch a straddle and a butterfly payoff diagram when t tends to 0. I have searched and have been able to sketch both a butterfly and straddle diagram but fail to proceed when t tends to 0. ...

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