3
votes
1answer
56 views

Solving the Jamshidian Zhu (1997) PCA short rate model

This is my first time posting a question. I have very limited experience in the field of stochastic calculus and interest rate modelling. I have been tasked with implementing the short rate model ...
1
vote
1answer
68 views

Arbitrage Strategy Proof in Bjork

In Tomas Bjork's Arbitrage Theory in Continuous Time (or here), $\exists$ this proposition Proposition 2.9 Suppose that a claim X is reachable with replicating portfolio h. Then any price at t=0 of ...
3
votes
6answers
205 views

Do quants need to know Accounting?

Do quants need to know Accounting? In my school's undergrad Quant program, we had Financial Accounting and Managerial Accounting, which were listed as prerequisites for our undergrad Finance ...
2
votes
0answers
87 views

Johansen-Ledoit-Sornette Model

im trying to predict crash time by using lppl model(JLS). My codes can run, but the error is to high....I try with some other initial values, but still can't reduce the error.....How i can reduce ...
2
votes
0answers
43 views

Simple Forward Interest Rate Proof

Just trying to check my logic here: Let $Z(t,T)$ be a Zero-Coupon Bond with maturity $T$ bought at time $t$, $S_m$ be the spot interest rate for time $m$ and $S_n$ for time $n$ respectively, where $n ...
1
vote
1answer
81 views

Hedging a Long Equity Swap by Shorting the Stock

Suppose that I enter an Equity Swap, such that I pay a floating rate and I receive the equity return. The payment is every one year for both the rate and the return, and the swap expires in one year. ...
1
vote
1answer
100 views

Black–Karasinski - Market Price of Risk

In the past I have calibrated simple short rate models to the term structure by using maximum likelihood to get the parameters of the Vasicek/CIR sde, and then use the ZCB formula and the current ...
-1
votes
1answer
55 views

how to calculate avarage variance and avarage covariance

I would like to figure out how to calculate av.variance and av.cov. I know how to calculate portfolio variance( for large ...
1
vote
2answers
99 views

Why is Value at Risk non-negative?

When reading the book of Financial Risk Forecasting, I saw the following example. I am not very clear about two points marked with yellow and green respectively. ...
5
votes
1answer
100 views

American Swaption Heding with Malliavin Calculus

Hedging American Swaption Hello, I priced an American swaption using Black model with swap rates diffusion to find the european (call) price at t. $$ C_t = (\delta \sum_{j=n+1}^{M+1} ...
3
votes
1answer
136 views

Pricing a FixedRateBond in Quantlib: yield vs TermStructure

I am trying to price a simple U.S. treasury in QuantLib, using two methods. The first method calls FixedRatebond.dirtyPrice(...), passing in a YTM and other parameters. The second method involves ...
4
votes
1answer
118 views

Risk-neutral pricing in incomplete markets

I know that in order to use the risk-neutral valuation principle, that is, pricing options as their payoff function under a risk neutral measure, one has to have a complete market. But in the ...
2
votes
1answer
64 views

Swaptions vol trading lognormally

What does this mean: "Front-end vols have been trading lognormally while longer tails have traded normally." I read this in a research report, in the context of ...
2
votes
0answers
20 views

How do derivatives affect capital structures?

Yesterday, I was at a lecture where the speaker said that the impact of derivatives was often to make senior debt, in effect, subordinated debt (in terms of priority, recovery rates, etc.)? How do ...
0
votes
0answers
28 views

How does US banks ensure that other country's banks aren't counterfeiting USD?

I have had this question for a long time. For example, if I wire 50M USD from China to the US, does the Chinese bank physically deliver 50M USD cash to the US bank? or is it just changing a number in ...
0
votes
2answers
117 views

Beta of FTSE100 stocks against benchmark index FTSE100

first post so if I write something silly don't hold it against me. I calculated beta for almost all the stocks that compose the FTSE100. All have beta < 1. This, as far as I understand it, means ...
5
votes
3answers
242 views

Deriving Interest Rates

I am trying to teach myself about interest rate swaps, how they are priced, etc... Easy enough - just comparing cash flows of fixed and floating rate bonds. However, what I'm struggling with is how ...
1
vote
2answers
105 views

Is the purchase of a stock publicly accessible?

If an investor bought a stock, could another private party access that information anywhere? Does the SEC/exchange itself create a real time/ historical record of who holds what stocks, and is that ...
2
votes
3answers
125 views

Platform for Quantitative equity portfolio

What are the most popular platforms used for quantitative equity portfolio management/research? I've only used Barra so far for their factor models. Is there any specific feature or model you think ...
0
votes
1answer
29 views

What does 2 Year Annualized mean compared to 1 Year Annualized

I am looking at a company's financial report and there is a table in it that lists returns over different annualized periods. It ranges from 1 year to 20 years. Would a 2 year return in this table be ...
3
votes
1answer
82 views

Electricity market : how to design an optimal hedging strategy using spot and futures markets for an industrial consumer?

Here is the problem : we should adopt the point of view of an industrial company which purchases electricity as an input in its production line and which wants to achieve the following two goals : ...
2
votes
1answer
35 views

What different techniques exist for modeling exotics near payoff discontinuities in Finite Difference method?

If you are modeling an exotic, like a binary or a barrier, and hedging it with vanillas that have strikes quite close to the exotic's strike, then a large asset step size, for example, $\delta S = ...
1
vote
1answer
183 views

robust open source Kalman filter library in C++

I would like to know if anyone has experience with a good open source kalman filter implementation in C++ that I could use. I require an implementation that supports computation of likelihood similar ...
1
vote
2answers
146 views

Is stock price priced in the uncertainty?

Consider a one step binomial tree model for stock price. The classical setup is as below: At time $t=0$, the stock price is $S_0$. At time $t=1$, the stock has probability $p$ to jump up to price ...
0
votes
0answers
58 views

Option payoffs and replicating payoffs

I've come across the below question which has no answers to it and I was hoping someone could provide some help. I know it quite a long question and I appreciate any help with this. An investment ...
2
votes
2answers
121 views

Understanding the conditioning in a GARCH process

In a GARCH model like the following $$y_t=\sigma_tz_t,\\ \sigma_t^2=\omega(1-\alpha-\beta)+\alpha y_{t-1}^2+\beta \sigma_{t-1}^2$$ where $z_t$ is assumed to be iidN(0,1), we say that conditional on ...
1
vote
1answer
41 views

Which more topic should be covered in my undergraduate program? [closed]

Below is the topics covered in my undergraduate economics program. I want to know which course should I take to get a full overview of topics in finance today. Econometrics Micro, Macro Economics ...
2
votes
4answers
208 views

Why does [dz(t)]^2 converge to dt over infinitesimally short time periods?

I have some trouble understanding a chapter in George Pennacchi textbook "Asset Pricing". Here the author shows that the square of a Wiener Process $[dz(t)]^2$ converges to $dt$ for infinitesimally ...
0
votes
1answer
113 views

Intuitive understanding of Black-Scholes pricing

The Black-Scholes formula entails market completeness, so the price of an option is only the cost associated with dynamically hedging the option. Where does this cost come from? I don't see how ...
3
votes
2answers
105 views

What is the tau parameter in the Black-Litterman model?

Could someone please provide me with a clear and concise definition of the $\tau$ parameter in the Black-Litterman model? It seems one is rather hard to come by. I understand it to be the 'weight on ...
0
votes
1answer
100 views

investors hold efficient portfolios because generally they are risk averse

I'm trying to find a concept on this question,in my understanding investors differ on risk preference,the question said investors hold efficient portfolios because they are generally risk averse? ...
0
votes
0answers
49 views

Kalman Filtering with Linear Restrictions

A question on this topic has been asked before: Combining a linear Kalman Filter with additional linear constraints? and I checked out some of the references given: ...
1
vote
2answers
76 views

Basis Risk for Futures/Options

I am just reading about basis risk. It is being described as risk of the price of the hedging instrument not fluctuating the same as the instrument itself. I was just wondering, if we bought a ...
1
vote
1answer
111 views

Short-term directional trading

Did value of ratio between informed and uninformed traders at market, making difference to profitability of short-term directional trading on that market? My guess is yes and better play short-term ...
0
votes
0answers
60 views

The option values are different from two r package - foptions,rquantlib

The results are very different.I know the code from quantlib and the result of quantlib seem right(close to market price). Is there anyone know why the value from fOptions is so large or fOptions used ...
0
votes
1answer
61 views

Controling ex-post volatility by ex-ante limits

In the context of mutual funds the KID directive forces us to calculate 5 year ex-post volatility of a (market) fund (weekly returns). Thus each week we look back in the past and calculate volatility ...
1
vote
2answers
81 views

Intuition behind interest rate models

I am modelling the 3M yield of US Treasuries using an ARMA/ GARCH approach. Most interest rate models (e.g. Vasicek) describe the process as follows: $r_{t}-r_{t-1} = some ARMA+ \epsilon_t $ ...
0
votes
0answers
19 views

Recording Bill payment of Credit Sale with existing Customer Deposit

Need your help for below scenario : 1) Sale of an item for 200.00. But customer pays 250.00 and asks to keep $50 as an advance for next transaction. For this transaction, Journal Entries will be as ...
-2
votes
1answer
145 views

Is the market really Normal. Is Implied Volatility Historically Correct?

Ok. So as of 6/10/2014's market close the SPY was 195.6 and the VIX closed at a ridiculous recent low of 10.99. Now because the VIX (IV) is the implied volatility of 1 month contracts on the SPX and ...
0
votes
2answers
97 views

BInary Option implied volaltility

How is implied vol calculated if the quoted prices are out of the range for any possible volatility? E.g. Current quote on CBOE for options expiring on Aug 16, 2014 ...
1
vote
2answers
188 views

Is node.js being used in systematic trading software?

I have a project where I would like to track some tick data and create some indicators to follow it. I am thinking of using Node.js for this project, but I would like to know from those in industry if ...
1
vote
0answers
47 views

VaR mapping - Forward Foreign Currency Contract

I have a question about VaR mapping for FX forwards. Please bear with me while I outline the problem. Philippe Jorion's book discusses VaR mapping; a means to break down complex instruments into ...
5
votes
1answer
141 views

PDF Calculation by Fourier Inversion of Characteristic Function for Affine Intensity Process in Matlab

I'm trying to use the Fourier inversion formula to plot the PDF of an Affine Stochastic Intensity Reduced Form Credit Model, given its characteristic function. The characteristic function of an ...
1
vote
2answers
95 views

calculate gamma value using finite difference method

I try to use the finite difference method to get the approximately gamma value, but there is an issue I can't solve. First, I set $h$ to 1 basis point of underlying asset value, but the result is not ...
5
votes
1answer
74 views

Estimating the Hurst exponent in short terms in developed markets

In the Proceedings of the Estonian Academy of Sciences, Physics and Mathematics (2003), I saw the following sentence: Surprisingly, in the case of developed markets, short-term $H$ results showed ...
0
votes
1answer
108 views

Directional/Non-Directional Risk

Can someone explain to me what is direction/non-directional risk? Went through few sites but couldn't understand much.
0
votes
2answers
191 views

Is there a step-by-step guide for calculating portfolio VaR using monte carlo simulations

I am trying to determine a step-by-step algorithm for calculating a portfolio's VaR using monte carlo simulations. It seems to me that the literature for this is extraordinarily opaque for something ...
2
votes
1answer
152 views

Boundary condition for Asian Option under Black-Scholes model

I am looking at Kemna and Vorst's paper: A PRICING METHOD FOR OPTIONS BASED ON AVERAGE ASSET VALUES. see http://www.javaquant.net/papers/Kemna-Vorst.pdf Let $\text{d}S_t = S_tr\text{d}t + ...
1
vote
1answer
75 views

regarding Basel II III model

I may have to get involved in some projects using Basel II, III model for risk modeling, to which I have no background. Are there any good book/tutorials to recommend? What are the underlying ...
0
votes
1answer
74 views

Market-Maker existence impact to short-term informed directional trading

How existence of market-maker affects short-term directional trading? Normally when playing short-term directional we play against market marker that will cover losses from uninformed traders. But ...

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