4
votes
1answer
61 views

Discounted risky asset stochastic process problem

$S_t$ is the random variable representing the risky asset price at time $t$. M_t is the riskless asset. They are governed by the equations $\frac{dS_t}{dt}=\mu dt + \sigma dZ_t$ and $dM_t = rM_t ...
3
votes
0answers
90 views

Mid-Point calculation with execution probability

Referring Cao, Hansch, and Wang (2004) "The Informational Content of an Open Limit Order Book" $$ \mbox{WP}^{n_1 - n_2} = \frac{\sum_{j=n_1}^{n_2} (Q_j^d P_j^d + Q_j^s P_j^s)}{(Q_j^d + Q_j^s)} $$ ...
1
vote
0answers
62 views

Asset true price determination, quoted on 2 exchanges

There is a stock that is quoted on 2 exchanges and I'm thinking about ideal (from market micro structure point) method for calculate true value of that asset. Assuming that venue with volume traded ...
3
votes
0answers
59 views

Particular Conditional Expectation of Geometric Brownian Motion

If we have the density function $$f_{Y}(y,t)=\frac{1}{y \sqrt {2\pi\sigma^2t}}exp(-\frac{(ln \ y - \mu t)^2}{2\sigma^2t})$$ Then the mean of $Y(t)=e^{X(t)}$ conditional on $Y(0)=y_0$ is found to be ...
1
vote
1answer
41 views

Calculating short/long order percentages?

I have a feed in real time that lists the ask and bid orders. Each order consists of a value and a quantity. I want to calculate the percentage of short orders from the total orders in terms of ...
1
vote
1answer
215 views

How does Volatility Pairs Trading work?

I've read some material related to pairs trading for equities and I understand the process of finding non-stationary pairs price series that can be cointegrated to form a stationary series. The basic ...
1
vote
1answer
22 views

Can Standardized unexpected earnings be considered a Z-score

According to this wikipedia: http://en.wikipedia.org/wiki/Earnings_surprise, the SUE score is a "standardized" difference between reported earnings and expected earnings. Therefore, can the SUE score ...
1
vote
1answer
101 views

Risk-Free Rate determinant in CAPM

I have trouble understanding what type of maturity to use when calculating CAPM. My professor uses the 3-Month risk-free rate to ...
0
votes
0answers
15 views

'C' Marker in PSA for CMO

I will occasionally get a 'C' as part of a PSA in my CMO oddlot data. Most of the numbers will be normal - 277, 297, 269. Then 10C, 20C, 13C. What does the C represent?
2
votes
1answer
135 views

How to Calculate Confidence Intervals for Moving Averages Given Nonindependence?

I've plotted 30-year moving averages across time for a couple of portfolios, and I was wondering how to calculate a 95% CI for the these moving average data (i.e., across all moving average data ...
1
vote
0answers
35 views

How to value a portfolio of non-mature consumer loans?

I'm looking for the best way to value a portfolio of consumer loans that have NOT reached maturity and for which I do observe the payment/default history to date? I'm working with a large database of ...
1
vote
1answer
91 views

Stress Testing Methods

I'm working on the following task: Given quarterly data: a time series representing the 1-year realized (10 years of data) rates of default on a portfolio of mortgages a slew of ...
2
votes
1answer
97 views

How would you price this kind of derivative?

I am somewhat familiar with options but am wondering how to price calls/puts on this one: European exercise "Jumps" in underlying may occur Takes physical delivery upon exercise (is this even ...
1
vote
2answers
177 views

Black-Scholes Equation - Riskless portfolio derivation

The following is a summary of the derivation of the Black-Scholes equation as given on wikipedia (http://en.wikipedia.org/wiki/Black-Scholes_equation#Derivation) - I have a question regarding the ...
1
vote
1answer
117 views

Cost of Carry Bear Flattener

I was reading a report last week that “the carry on a 2s5s gilt curve flattener is negative to the tune of 10bp over 6 months” and I realised I have little understanding of this concept and ...
0
votes
0answers
93 views

How to fully replicate ADX + DI Indicators in Excel?

For black box testing, I was hoping that I could replicate the ADX + DI+ and DI- indicators that are provided in trading platforms such as ThinkOrSwim, ScottradeElite etc. However, I noticed that ...
0
votes
1answer
104 views

Integrating R with Bloomberg

In the past, I have used the package RBloomberg to directly pull bloomberg data into R. I've also seen it go by the names Rbbg or R[Name Redacted]. It seems to me, however, that this package no longer ...
0
votes
1answer
101 views

Is there a trustworthy ranking of quantitative finance degrees?

I'm interested to know if there is a trustworthy ranking of master's degree in quantitative finance. I'm specifically interested in some recruiter's perspective or experience, if available. I ask ...
3
votes
1answer
88 views

Why maximize expected growth rate?

It seems to me that the optimality of the Kelly Criterion relies on the assumption that it is in an investor's best interest to maximize his portfolio's expected growth rate. Why would he care what ...
1
vote
1answer
67 views

Is Reuters Instrument Code (RIC) case-sensitive?

Someone in my organization claims that RIC codes are case-sensitive. So for example: SPXi201420000.U does not refer to the same instrument as ...
0
votes
0answers
65 views

hedging an equity portfolio against an index

I am trying to run a simple back test on a M&A strategy. The idea is to buy the target company for the length of the deal and obviously hope to see a profit. The weight given to each deal is ...
1
vote
0answers
33 views

Autoregressive distributed lag models ADL(p,q) howto in preferably matlab (stata/R/python/C# etc)

Could anyone provide me the details of how to determine the lag order of the distributed lags for an ADL(p,q) model in Matlab or another statistical package (and very much preferably in combination ...
6
votes
1answer
108 views

Estimate rolling stochastic volatility forecast using stochvol in R

I want to use the R package stochvol to fit a SV model to a DAX training set and use the output to estimate a rolling one-step-ahead forecast: ...
0
votes
0answers
37 views

Position Strength: Leveraged vs. Non-Levered

Is there some sort of metric or formula for bull/long strength in a market based on % of shorts/longs on margin, and perhaps even the size of that leverage? I ask because I participate in BTC (which ...
1
vote
0answers
25 views

Understanding Price Elasticities in Discrete Choice Models (Derivative)

I'am in the midst of a paper on mutual fund product differentiation by Li and Qiu. Here, the authors model the utility an investor derives from investing in a mutual fund using a Discrete Choice Model ...
1
vote
1answer
36 views

Proper way to combine wavelet coefficients from multiple rounds of analysis

I am doing signal analysis for a time series and the assumption of signal is S = F + e Where S is the original signal, F is the frequency component and e is white noise (auto-regressive time series ...
3
votes
0answers
96 views

What is the most convenient data structure for backtesting a model of futures options prices?

I have an empirical model for the dynamics of futures prices in a particular market that I have implemented using a long series of the front five contracts. (I account for the roll in my model.) I ...
1
vote
0answers
57 views

Why would a 9% dividend payment halve the stock price? [closed]

I am trying to understand why a stock experienced a very drastic drop in price. The only event linked to the drop seems to be payment of an unusually big dividend; however its effect on the price ...
0
votes
1answer
160 views

How to calculate the volatility matrix with multiple stocks

calculating the volatility for a single stock is straightforward. However, I'm not sure whether my approach for calculating the volatility matrix for multiple stocks is correct: I assume a log-normal ...
1
vote
1answer
117 views

Trading over a Ornstein/AR process

For a OU/AR(1) process is there anyway to analytically calculated most probable period of time the process is likely to diverge from the average, before turning to converge. Basically I am looking ...
1
vote
1answer
102 views

Simulate non-stationary time series with cointegration

how can I simulate/generate two non-stationary time series (with unit root) so that they can be also cointegrated (using R or Matlab). Thanks in advance.
2
votes
1answer
53 views

How are bond prices quoted in the financial press related to bond yields quoted?

For example in the FT this month a 10 year US bond with redemption date 05/24, coupon 2.50 has a bid price of 99.52 and a bid yield of 2.56. Can one calculate the bid yield from the bid price, red ...
4
votes
2answers
138 views

Machine learning for non optimal behaviour

I was working on the pricing of complex bermudean swaption when I noticed that the exercise is often (very) subobptimal. It seems that the clients are more sensitive to past growth or drop in rates ...
4
votes
1answer
186 views

Why would an exchange choose one matching algorithm over another?

There are a number of different matching algorithms at different exchanges. Time-based FIFO is most common, but there is also mixed FIFO/pro-rata, pure pro-rata, size priority, etc. Why would an ...
2
votes
2answers
107 views

Need help on cointegration

I tried to test stock pairs for pairs trading. There are two questions I am not sure. I am not using ADF to test the log difference between two stocks. But I also see people using Johansen test. ...
4
votes
2answers
195 views

Difference between a warrant and an option?

What is the difference between a warrant and an option on a stock? Apparently both represent the same right to receive a share of stock at the strike.
1
vote
3answers
267 views

Is this arbitrage?

Assume the stockprice as in the Black-Scholes model (Geometric Brownian Motion): $$S_t=S_0e^{(\mu-\sigma^2/2)\cdot t+\sigma W_t}$$ Wouldn't there be an immediate arbitrage opportunity, to just buy ...
1
vote
2answers
198 views

Exchange rate model and Martingales

In exchange rate model explanation, "...If under the domestic risk neutral measure $Q_d$, the process $X(t)$ satisfies $\displaystyle \frac{dX(t)}{X(t)}=\sigma dZ_d(t)$ Since $Z_d(t)$ is ...
2
votes
0answers
37 views

Discretization Schemes

I am working with two correlated SDE's and I was wondering if I could use two different discretization schemes for them. Is there maybe a reference of this being done? And can something be said about ...
4
votes
2answers
170 views

question on Leif Andersen's “Interest Rate Modeling, vol 2 Term Structure Models”

I'm reading Leif Andersen's "Interest Rate Modeling, vol 2 Term Structure Models" and met a problem on Chapter 14 LM Dynamics and Measures, $\S$ 14.2.5 Stochastic Volatility, Lemma 14.2.6, on page ...
2
votes
1answer
60 views

Correlation Multiple Currencies

If i have a portfolio of stocks from different currencies and i want to generate a correlation matrix from the stocks, how is the correct procedure ? Imagine a portfolio which the base currency is ...
2
votes
0answers
35 views

Formal Proof of Immunization Techniqu

Please correct me if I am wrong in understanding the Immunisation Technique behind bond interest rate risk management. It says that any change in interest rate can be neutralised by reinvesting the ...
2
votes
1answer
195 views

Johansen Cointegration Test

I just performed a Johansen Co-integration test on two stocks. The results I get are: ans = r0 r1 t1 true false I am using Matlab. Can ...
0
votes
1answer
115 views

Book recommendation for time series analysis

I have been trying to wrap my head around Engel-Granger test and jcitest etc. I have failed thus far. If possible can someone guide me about which books to start with and possibly reach to ...
6
votes
3answers
252 views

Starting mathematics reading for quants

What book should I start with in order to learn about the mathematics behind financial (derivatives I think!) trading that would be used in HF's & IB's (Not sure whether there would be a ...
3
votes
1answer
74 views

CDS - Accumulated Default Risk?

Say I issue insurance contracts covering fire damage in personal households. Fires occur with a probability of $x$% in a household (and they obviously occur independently from one another). If the ...
0
votes
1answer
148 views

News on ETF sector performance

I am interested to find historical news (if any) associated with intraday volatility burst in a particular ETFs like ishares IYF (Financials). So say that between 12:00 - 12:10pm, the ETF IYF's stock ...
6
votes
1answer
118 views

Natural gas forward price modelling

I'm looking to learn about gas price modeling, in particular models of forward prices. I've studied "classical" mathematical finance, fixed income theory et cetera. I'm looking for good references ...
0
votes
0answers
47 views

Which size of constant range bar gives the most persistent chart?

A constant range bar chart is like a candle chart, only the candles don't close after a certain amount of time (i.e. 30 min, 4 hours), but after a certain range (i.e. 5 ticks) has been crossed. So if ...
2
votes
1answer
78 views

Concise way of learning Bond & IR models

What is the most concise way to learn about bond and interest rate models from the book Mathematical Models of Financial Derivatives by Yue-Kuen Kwok? I have studied Oksendals Stochastic Differential ...

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