0
votes
0answers
52 views

Self-financing strategy in the Hull-White bond model

I am having troubles with solving a particular problem concerning the self-financing portfolio in the Hull-White model (dr={phi(t)-ar}dt+sigmadW). Consider an expiry-T_0, Strike-K cll-option on a ...
1
vote
1answer
35 views

Differential equation involving bond price and forward rate

Given forward rate f(t,T) and bond price P(t,T) where $f(t,T) = - \frac{\partial}{\partial T} \ln P(t,T)$, $P(T,T) = 1 = P(t,t)$, T>0 and $t \in [0,T]$ Does it follow that $P(t,T) = ...
15
votes
4answers
574 views

Variable Selection in factor models

Let's say you have a dependent variable and many independent variables. What are the preferred metrics for sorting and selecting variables based on explanatory power? Let's say you are not concerned ...
4
votes
1answer
143 views

What does the “-E” mean at the end of a CBOE options symbol?

Below is are some option quotes taken directly from the CBOE website. I am wondering what the -E, -4, -8, -A, -B, -I, -J etc..that are at the end of the options ...
1
vote
0answers
35 views

Use of Black-Scholes Model on Guaranteed Fund Investment

I am stuck with a revision question at home on Black-Scholes pricing model. The question is on a fund manager selling one unit of the fund to a customer for S(0) at time 0 and then guaranteeing at ...
1
vote
1answer
49 views

Share price of Precision Imaging Corporation of America on March 13, 1991

Where can I find the share price of Precision Imaging Corporation of America, Inc. on March 13, 1991? I realize the company no longer exists and the shares are now worthless but I would like to know ...
1
vote
3answers
177 views

How to pull an exhaustive list of securities traded globally, on bloomberg?

I need to extract an exhaustive list of securities with CUSIPs and ISINs on bloomberg. This data needs to be on a global level. Can someone help with the formulae on bloomberg please? Cheers, G
2
votes
1answer
45 views

Show that Z(t)/Z(0) is a positive mean-1 martingale

We look at a standard no dividends Black-Scholes model and here we have a process Z, which is defined by: Z(t)=(S(t)/H)^p , where H is a positive constant and p=1-2r/sigma^2 I am now asked to show ...
10
votes
4answers
7k views

How should I calculate the implied volatility of an American option in a real-time production environment?

There are many models available for calculating the implied volatility of an American option. The most popular method, employed by OptionMetrics and others, is probably the Cox-Ross-Rubinstein model. ...
0
votes
1answer
171 views

Actually benefiting from logistic regression to estimate probability of default

Does anyone know any events where using logistic regression to estimate probability of default has led to a bank, financial institution, government or anything really to benefit in practice? I see a ...
0
votes
0answers
25 views

Finding optimal ewma and number of periods usedas features in a time series regression

I am using an exponential moving average (ema) to smooth the return of a price time series. I then want to use the last n periods (features) as the independent variables of the time series to predict ...
1
vote
2answers
84 views

Heston model with Jumps

I am a relative newbie in finance and dont know most things about quantitative finance and trying to learn stuff and working on the heston model for now. My question is this: Heston model can be used ...
1
vote
0answers
86 views

Method to combine trading signals to achieve higher sharpe

There are a few thread with the question of methods to combine different trading signals/strategies. But is there any method that can ensure that by combining two signals, we can achieve a better ...
2
votes
2answers
248 views

Locked or Crossed Markets

I don't understand why Rule 610 from Reg NMS was introduced: what was the problem with locked markets? I have read that one of the issues is that it forced a market maker (say, from Nasdaq) who ...
2
votes
2answers
287 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
3answers
446 views

Transaction Data with Participant ID

For my master thesis, I need high-frequency data with the market participant ID or which identifies the trading parties, respectively. I don't need the entire orderbook but just the matched orders ...
0
votes
2answers
176 views

Disclosure of the liquidity provider identity in ITCH

If you look into the description of Nasdaq ITCH data, you see two types of order entries in the book: Message of Type A and F. Under type F, you will see the identity of the market participant (MPID). ...
0
votes
1answer
102 views

Quantiles, Value-at-Risk and log normal random walks…

Sorry, that's probably quite a bunch of silly questions, but I just got lost a bit and need to dot all the i's and cross some t's :). Let's say we have a series of returns (like this one we may get ...
2
votes
2answers
58 views

Conditional expectation of a non stochastic process

In an example I was working through it was shown that $W_{t}^{2} - t$ was a martingale with respect to the Brownian motion filtration $\mathcal{F}_{s}^{W}$ with $t>s$. Everything was fine except a ...
0
votes
1answer
198 views

Can the Minimum Variance Hedge ratio be greater than 1?

The Minimum Variance Hedge ratio is defined as: $h = \rho * \frac{\sigma_S}{\sigma_F}$ For correlation $\rho$ and $\sigma_S , \sigma_F$ for S.D. of changes in asset and future prices accordingly. ...
0
votes
1answer
70 views

Computing the minimum variance portfolio

Given two risky assets and their corresponding covariance matrix, how do I compute the global minimum variance portfolio, its standard deviation and its expected return?
0
votes
0answers
18 views

Adjusting simple volatitly for a VaR calc

I'm reviewing a VaR estimate adjusting a simple annualized volatility to an unwind period of x days - in this case for an equity position, using the following formula for a given annual volatility : ...
2
votes
2answers
128 views

VIX-implied Volatility calculator

Does anybody know any implied volatility calculator for VIX Options, possibily in Matlab? For Vanilla Options, I'm currently employing this function which is very fast and reliable (much more than ...
0
votes
1answer
238 views

Under what circumstances would one want to delta hedge a straddle

Under what circumstances would one want to delta hedge a straddle option? This link explains: ...
1
vote
2answers
122 views

How to price an European call on zero-coupon from the yield curve?

It is known that the price of an European call of maturity $T^*$ on zero-coupon of maturity $T$ is given by $$p(0,T)= B(0,T^*)\mathbb E ^{\mathbb Q_{T^*}}\left[ (B(T^*,T)-K)^+\right]$$ where ...
1
vote
1answer
157 views

What is the proper discounting of PIK and non-compounding bullet loans?

This question pertains to two types of loans. Pay-in-kind (PIK) and bullet loans with quarterly payments. 1. PIK Loans A PIK loan is a loan where periodic interest is NOT paid, but added to the ...
1
vote
1answer
56 views

Longevity risk modelling

What is Longevity risk, and how to model it under DC and DB pension plans? characters|characters|characters|characters|characters|
3
votes
4answers
2k views

Are Futures exactly Delta One?

Delta of Future is exactly one I thought. This post here, says otherwise. However, quoting John Hull again: $$f = \text{Value of Future contract} = S_{t=0} - K \exp(-rT)$$ where $S$ it the spot ...
0
votes
0answers
47 views

Can you use factor loadings to determine portfolio information?

Suppose that you have a portfolio whose composition is uncertain. If you regress the portfolio returns on known factors (e.g., Fama-French 3-factor), can you use the loadings to determine (in general) ...
4
votes
1answer
168 views

Radon-Nikodym derivative and risk natural measure

I need help with my understanding of changing probability measure. Im not a mathematician so I hope for answers that are not too technical. As shown in this Wikipedia article ...
1
vote
2answers
58 views

How do I use BIC (Bayesian Information Criterion) to estimated model AR (auto regressive) lag?

In financial research papers, I have seen several times that the lag length in an ARMA model has been determined using BIC. Do the researchers estimate the lag length before considering other ...
0
votes
1answer
55 views

biggest rally data collection

Where can I find data for biggest rally(price rally) in a day? If this sort of information is not readily available, how could I produce/transform such data?
0
votes
0answers
20 views

Good Exam FM book for Stocks

I am currently studying for the actuarial exam FM and I just took the practice online exam. Unfortunately I am at a 60-70% level and I would like to get that to at least an 80% by April. I think I ...
0
votes
1answer
154 views

Bootstrapping zero-rates from AUD swap rates

I have a pay fixed / receive floating interest-rate-swap on the AUD BBSY that I'd like to price for the purposes of accounting. I understand the general process to be as follows (assuming ...
0
votes
1answer
96 views

How to construct a deterministic trading model based on a loess (local regression) model?

Given data that has been fit to a loess model, can you make reliable decisions on future trades given a good past fit? Has anyone here done so and can give an example of their use case? I am yet to ...
2
votes
1answer
199 views

Various ways to choose bonds for a butterfly strategy?

What are the various ways to choose bonds for a butterfly strategy? For eg., I already know the most common one i.e., choosing short and long term for the wings (barbell) and the medium term for the ...
0
votes
0answers
41 views

Complicated American style option contract with numerous non-standard features (simultanous exercise, additional premium, etc.)

I want to value the following contract for times $0<t<T$, i.e. determine $V(t,\cdot)$ where $\cdot$ refers to all other dependences (strike, spot, volatility, etc.). The contract is long and ...
-1
votes
1answer
29 views

Discounting factor depends on [closed]

Does discounting factor only depends on issuer, or it also depends on structure of payments ( i.e. fixed or float)? Thank you in advance.
9
votes
1answer
969 views

academic papers about market making

I am looking for academic articles which model the p&L of market makers. I have read the Ho-Stoll (1984) article. Is there any recent article on this subject?
0
votes
1answer
72 views

Online algorithm for selecting smoothing parameter?

In Online Algorithms in High-frequency Trading the authors demonstrate online, exponentially-weighted algorithms for mean, variance, and linear regression. The authors estimate their smoothing ...
18
votes
7answers
24k views

What is the difference between volatility and variance?

How do volatility and variance differ in finance and what do both imply about the movement of an underlying?
4
votes
3answers
2k views

How is historical data for forex collected or computed?

I'm looking at four sources of forex data, as compiled in the question, What data sources are available online? And I think I must be misunderstanding something, perhaps something fundamental, but I'm ...
2
votes
2answers
65 views

I have portfolio volatility for year 1 and for year 2. What is portfolio volatility for year 1 and 2 combined?

Thanks for looking into this question. Portfolio volatility in year 1 = 15%. Portfolio volatility in year 2 = 20%. What is the portfolio volatility over the timespan year 1 and 2 combined? Is it ...
3
votes
1answer
182 views

Regime Switching for Dynamic Correlations

I would like to implement a Regime Switching for Dynamic Correlations in an out-of-sample analysis using MATLAB. After looking at the literature on the subject, they all refer to an article by Denis ...
0
votes
1answer
63 views

How can we write swap as a chain of FRA's

For the rest of my question I use the notation from Brigo. The discounted payoff of a receiver interest rate swap (RFS) at $t<T_{\alpha}$, where $T_{\alpha}$ is the first resetting date, is given ...
1
vote
0answers
25 views

price engine configuration [closed]

My question is about forming market data which is received from the LPs. Some tools work with these parameters: min spread, max spread, bid spread, ask spread. If current spread < min spread or ...
5
votes
3answers
333 views

multiperiod optimization using R

I'm interested in multistage optimization problems. Are there any good R packages around to solve such problems over time? I'm not at all an expert in it, so maybe someone knows a good paper / lecture ...
1
vote
1answer
63 views

Daily or weekly data?

I am trying to test a strategy but do not know if I should use daily or weekly data? I have tried researching this & have found that daily data will bring " too much " noise compared to lower ...
1
vote
2answers
120 views

swaption model for forward swap rate

I have another question about interest rates. In this case it is about swaption and how to come up with a pricing formula. For the rest of my question I use the notation from Brigo. The payoff of a ...
1
vote
1answer
126 views

constrained portfolio optimization in matlab

I am working through this paper, http://www.nber.org/papers/w8922.pdf I want to implement the portfolio weight constraints see page 6-7. Here is the brief overview of my problem: Let ...

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