5
votes
1answer
68 views

Usage of Brownian Bridge?

I was recommended to read something about Brownian Bridge. Could someone familiar with BB give some recommendation? It was mentioned that BB benefits in 2 places BB could reduce the simulation ...
4
votes
3answers
229 views

Sampling problem in portfolio optimization

In a summary I am trying to do the following Bond Subset 1 : Get list of USD Bonds --> Filter out Bonds which have YTM > y% DUR > 10 Y etc. .. This gives us Bonds which we are interested in. So ...
1
vote
1answer
72 views

Bond Spread Drivers

I have some work to do on the drivers of government bond spreads - ie. across terms (not across governments) of the yield curve, say 5yr and 20yr bond spreads from the same government issuer - and am ...
1
vote
0answers
31 views

Markov switching model estimation

We are testing Markov switching models to forecast risk regimes, similar to the paper by Kritzman, Page and Turkington. We find that in some cases the Baum-Welch algorithm converges very slowly or not ...
0
votes
0answers
27 views

How does logging effect Quickfix performance?

I am using .net/c++ version of quickfix. How does logging effect Quickfix performance? If I disable logging to file, can it help to increase performance of quickfix? Thanks,
2
votes
1answer
81 views

American Swaption Pricing with Monte-Carlo method

I want to price an American swaption but I am not sure about what I am doing. Tree methods and PDE discretization seem difficult to adapt to a swaption. I am trying a Monte-Carlo approach. (in ...
5
votes
1answer
257 views

Testing the validity of a factor model for stock returns

Consider the following m regression equation system: $$r^i = X^i \beta^i + \epsilon^i \;\;\; \text{for} \;i=1,2,3,..,n$$ where $r^i$ is a $(T\times 1)$ vector of the T observations of the dependent ...
0
votes
0answers
13 views

Bank Reconciliation HW Question [closed]

I'm not sure if this is the right Stack Exchange for this question. If it isn't I apologize. I have an Accounting project I've been working on. It's a bank reconciliation using data provided. ...
2
votes
0answers
43 views

At-the-money Call Spread approximation

In a trading manual I got during a course, the value of the ATM Call-Spread is approximated by $CS_{ATM}=\frac{1}{2}StrD+(F-m)\times\Delta CS$ The lecturer skipped the part where he derived this ...
5
votes
1answer
412 views

Applicability of PCA to get historical volatilities to calibrate interest rates trees

My question in short is as follows: can I take main principal component of historical covariance matrix and use it as historical volatilities when fitting a binomial tree? Here's more detailed ...
1
vote
0answers
20 views

American Swaption Pricing with PDE discretization

So I am still trying to price an american swaption. (MC approach here: American Swaption Pricing with Monte-Carlo method) I've found in Paul Wilmott, The mathematics of financial derivatives, a PDE ...
0
votes
0answers
14 views

Engle Granger test returns a 0 in matlab, while correlation factor is .80+. Am I doing something wrong?

Engle Granger test is giving me a ans = 0. The correlation factor is: 0.8+ Does this imply the No cointegration hypothesis is true? i.e. as per my understanding that there is cointegration? I am ...
0
votes
0answers
17 views

Significance of Data

The following is a result I get from a pair trading model. I am trying to figure out the significance of the below but failing. Can someone help me out i.e. a resource or possibly an explanation on ...
3
votes
3answers
59 views

Budget Constraint in Sharpe Ratio Optimization

I am a math student and I am trying to understand the budget constraint in Sharpe Ratio optimization for portfolio design. Recall the budget constraint requires that the sum of the portfolio weights ...
7
votes
1answer
378 views

Are there any other standard rates term structure decomposition than PCA?

PCA is sometimes used to estimate components in the rates term structure. Are there any other standard method discussed in the literature or used in practice, what are their advantages and ...
6
votes
3answers
757 views

Lib for Arbitrage-Free Smoothing of Implied Volatility Surface?

I'm looking for an implementation of Arbitrage-Free Smoothing of the Implied Volatility Surface - Matthias R. Fengler. Does anyone know of any existing libraries that have implemented this paper? Any ...
0
votes
0answers
36 views

Java Implied Volatility Solving

After using RQuantLib and RCaller from Java I am desiring a bit more speed on my implied volatility calculations (for anyone who has used this knows it is quite slow). I need to price a large number ...
1
vote
0answers
141 views

Black Scholes well coded Python

I have some trouble with the following code. Some jump and a decentered path are present but it's not the case, normally for Black Scholes diffusion ! Is anyone see a problem in my code ? ...
0
votes
2answers
56 views

Dv01 of Eurodollar futures contract

Can anybody please explain in layman terms why the DV01 of a eurodollar futures contract is 25? I can mathematically calculate in different ways, but not able to convince myself, especially how is it ...
1
vote
1answer
68 views

HJM simulation problem

I'm trying to simulate a 3-factor HJM model. I got the algorithms from Glasserman book. In my case, I have $3$ maturity:$ 0.25y, 0.5y, 0.75y$. So my time grid is: $t_0=0,t_1=0.25,t_2=0.5,t_3=0.75$. ...
-3
votes
0answers
30 views

How to calculate the rho of an index future [closed]

can someone explain how to calculate the rho of a SPX index future?
1
vote
1answer
97 views

List of 2008 NACE Rev 2 codes

Am looking for a simple list of the NACE 2008 rev 2 codes (The European classifications for economic sectors). The official publication is here, but is there an easily accessible list of the actual ...
2
votes
1answer
63 views

Discounting based on instrument type

Suppose we have an asset $A$, and we have modelled the cashflows for this asset to be $\{C_{1},\ldots C_{k}\}$ which occur at time $\{T_{1},\ldots T_{k}\}$. Now the present value of the asset can be ...
1
vote
2answers
122 views

how to extend lognormal model so that $\sigma$ is correlated to $\mu$?

Consider a log-normal model, $dx / x = \mu dt + \sigma dW$, where $W(t)$ is a Wiener process. Let's say $\mu$ and $\sigma$ change with time, slowly, so we note them by $\mu(t)$ and $\sigma(t)$. ...
1
vote
1answer
45 views

What are the CMG-relevant banks according to Basel III?

I'm going through Basel III monitoring workbook and instruction. There's one row in "General Info -> A) General Bank Data -> 1) Reporting Data" part: "CMG-relevant: Yes/No?" I wonder what does this ...
7
votes
5answers
6k views

how to derive yield curve from interest rate swap?

According to some textbooks, to derive the yield curve, quote overnight to 1 week: rates from interbank money market deposit, 1 month to 1 year: LIBOR; 1 year to 7 years: Interest Rate Swap; 7 ...
0
votes
2answers
74 views

Why long power and short gas for Merchant power plant

Merchant power plant is one that can be turned on whenever you want. Suppose it is generating electricity from natural gas and we have a spark-spread option. Why is that the person who owns plant is ...
0
votes
1answer
83 views

Debt vs. Equity?

What determines whether an investment should be made using debt vs. equity? For example, startups are often financed with equity, while mortgages are always financed using debt. What characteristics ...
8
votes
5answers
609 views

From Fourier Transforms to Option Values

I am trying to understand how Fourier transforms & Characteristics functions can be used to calculate option values. However, I am having difficulty following the process that is used in several ...
0
votes
1answer
289 views

Bloomberg interest rate interpolation

I have question about the linear interpolation of interest rates. I am unable to reconcile the Bloomberg methodology for calculating risk-free rate between maturities. In theory it is a straight-line ...
1
vote
2answers
84 views

Harnessing small correlations for reliable profit

It is said that Edward O. Thorp was able to harness small correlations for reliable financial gain. I've seen some strategies based on strong correlations which did not seem particularly reliable. ...
0
votes
0answers
33 views

What are the theta and vega of a forward starting plain vanilla european option with no dividend?

I am reading through Hull's book asking myself this question to understand exotics. I currently believe that theta should equal 0 until the forward start time, $t_*$, if the call pays no dividends. ...
10
votes
5answers
1k views

Is it possible to use a series of option prices to predict the most likely path of an asset?

I've always wondered about this. If you have a series of options, with the expires spaced let's say one week between them, and you search for each expiration date the option with the smallest ...
0
votes
2answers
96 views

Accessible HTF? (Slippage reduction)

I designed an strategy that operates with 30-second bars on e-mini SP500. It works fine in the back-testing and the out-sample, also performs well in every walk-forward test I have tried. But, when ...
1
vote
0answers
34 views

If we modify duration, should we modify bond price? Options Futures and Other Derivatives

In Example 4.5 of Section 4.8 on Duration of Options, Futures and Other Derivatives (p.92), a bond's price and duration are computed assuming continuous compounding where the bond yield is y = 12%. ...
3
votes
2answers
70 views

CVaR/VaR Ratio as alpha goes to 1

I am having trouble taking the following limit of CVaR/VaR for a normal distribution as alpha approaches 1: $\lim_{\alpha \to 1} \frac{\mu + \sigma \frac{\phi^{-1}(\alpha)}{1-\alpha}}{\mu + \sigma ...
3
votes
1answer
64 views

Pricing of a simple contingent claim

Earlier I had the question (5.11 Tomas Bjork): $$ \frac{\partial F}{\partial t}+\frac{1}{2}x^2\frac{\partial^2 F}{\partial t^2}+x = 0 $$ $$ F(T,x) = ln(x^2) $$ And solve it using Feynman-Kac. The ...
1
vote
0answers
47 views

Why is the LIBOR-market model free of arbitrage?

Recently I have been reading a lot on the market models. One thing that keeps escaping me - why is the Libor-market model (LMM) assumed to e free of aritrage in continuous time ? To me this means ...
25
votes
9answers
4k views

How 'High' is the frequency in HFT?

How many trades per second are we talking about? What kind of strategies are used in this time frame? Can the small guy play the game?
1
vote
1answer
53 views

Differenced Brownian Motion covariance

I am having some difficult showing what the following equals, where $x$ and $y$, $x>y$, distinct times: $\mathbb{E}[\Delta W_x \Delta W_y]$ where each $\Delta W_t = W_t - W_{t-1}$. I have ...
2
votes
0answers
75 views

Reference for Algorithmic Trading [closed]

I have recently started to look up algorithmic trading but I am finding it hard to find references related to this field.I am math major with a sound knowledge in Statistics, various programming ...
0
votes
0answers
15 views

list of ADR's by volume or market cap

I'm looking for a list of ADR's (for a simulation) that I can screen by either market cap or volume? If anyone knows of a free way to get such a list it would be much appreciated. Thanks. Chase CB
3
votes
1answer
75 views

Beta and Frequency of Data

Why are the betas of individual securities essentially the same whether we use daily or weekly data when calculating?
3
votes
1answer
155 views

quantiative risk measure how they are implemented in R and their use

So far I have just theoretical knowledge of risk measure and never used them in application. Therefore I have some basic question how risk measures are used in reality and how they are implemented in ...
1
vote
1answer
39 views

Convolution copula?

Using copula formulation for the following probability: $$\mathbb{P}(X\leq x,y_{1}\leq Y\leq y_{2})=\mathbb{P}(X\leq x,Y\leq y_{2})-\mathbb{P}(X\leq x,Y\leq y_{1})$$ ...
1
vote
1answer
36 views

Delta of a standardized at-the-money 30-day put option

The plot below depicts the delta of a standardized at-the-money 30-day put option on the S&P500 tracker SPY over a 14-year period. This is data from OptionMetrics and standardized prices are ...
0
votes
1answer
57 views

What open source trading platform are available

I would like to compile a list of open source trading platforms. Something that would give an overview and comparison of different architectures and approaches.
5
votes
3answers
2k views

using quantlib function in my c++ program

I want to include the QuantLib function for option greeks calculations in my own C++ code. My question is: can I just include those functions? I don't want to use the rest of their stuff. I obviously ...
2
votes
1answer
98 views

Are there Python algorithmic trading libraries supporting forex?

I know about zipline and ultrafinance, but as far as I know, they don't support fx trading. Which libraries do?
0
votes
1answer
58 views

Econometrics - Testing

If we have a time series of returns and two time series of indicators, how would we test the use of these indicators if they are autocorrelated or nonstationary (VAR Models dont produce significant ...

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