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2
votes
1answer
54 views

Connections between logistic regression, information value and Kullback-Leibler

I am new to credit risk modeling, my background is in mathematics and physics, so I am looking to justify some commonly used techniques from first principles. Suppose that we are interested in ...
1
vote
0answers
26 views

Option Bounds in a risk-averse incomplete market

I was reading the article "On option pricing bounds" by Ritchken(1985). It uses linear programming to determine options upper and lower bounds. Given a single period model, the stock price will have ...
1
vote
0answers
48 views

Another ZCB calculation

I am not getting the $f(t,t)dt$ term in the last equality when we have $df(t,T)=\alpha(t,T) dt +\sigma(t,T) dW$ and $f(0,t)=f^{*}(0,T)$. Instead I have an additional $\int_{t}^{T}f(0,u)du$ in the ...
2
votes
2answers
527 views

Hull White help needed

I've been trying to calibrate Hull-White 1 Factor & 2 Factor model using Caps but I've some major doubts about my methodology, and would really appreciate some help. I am using these formulas ...
1
vote
0answers
32 views

Are there any known text analysis NLP bots that read 8k filings, news, twits, articles - “understand” them and trade based on their derived meaning?

I want to build an NLP bot that "reads" and understands meaning and sentiment of articles, twits and trades on them. E.g. understand general sentiment of comments under important financial blog posts ...
1
vote
0answers
41 views

Dollar bars in Advances in Financial Machine Learning book

Does anyone have use the dollar bars for building a strategy? I would like to know what ways you guys might be interested to set the dollar bars' parameter ( the dollar value ). I have thought of one ...
2
votes
1answer
44 views

ARMA moments proof

Consider a standard ARMA(1,1) process such as $$x_t - \beta x_{t-1} = \theta u_{t-1} + u_t$$ where $u_t$ is i.i.d. $u_t \sim N(0,\sigma^2)$. I know how to derive mean and variance with stationary ...
3
votes
1answer
114 views

Zero coupon bond calculations

I am given the following forward rate dynamics $df(t,u)=\frac{\partial}{\partial u}(\frac{\sigma^2}{2})dt-\frac{\partial}{\partial u}\sigma dW$ and want to calculate the dynamics of the ZCB $p$ via ...
2
votes
1answer
65 views

Curve building for a swap

I'm a student learning how to build a swap curve, I've deposit 6m rate = 5%, fra 6-12m rate = 5.8% and 12m-18m rate= 6% and swap 2y =7% and 3y swap rate = 7.5%. I get the correct discount factors for ...
1
vote
0answers
44 views

Bloomberg C# / CS.NET SDK for STDY Functions

I have downloaded and installed the CS.NET SDK from STDY. I have installed this as admin and had no problems with the install. However, when I open VS2017 (last version supported by BBG) I do not see ...
3
votes
2answers
816 views

probability question about brownian motion

Assume $W_{t}$ is a standard Brownian Motion, calculate the the probability that $W_{t}*W_{2t}$ is negative, i.e., $P(W_{t}*W_{2t}<0)$. I find it tricky to calculate the probability.Thank you.
1
vote
0answers
31 views

HJM Model proofs

I am looking for a source that possibly has the proofs for the material in the first paper on the HJM model Heath, David, et al. “Bond Pricing and the Term Structure of Interest Rates: A New ...
0
votes
1answer
102 views

Portfolio rebalancing question

I found this question and am not too sure how to answer it. How would you determine the minimum cash deposit,m, needed to move a portfolio back to it's target weights, given only the following: ...
2
votes
1answer
52 views

How to test ESG score as a factor against traditional factors

I have created my own ESG scoring system. I would like to test it as a factor against the traditional factors (growth, Value, quality, size etc) In essence a correlation test. Could anyone please ...
3
votes
1answer
99 views

Different volatility surface ( Local vol, Stochastic vol etc.)

Despite many questions about local and stochastic volatility available on this forum, i still have a few doubts left. Essentially I am seeking validation whether I am interpreting things correctly. ...
2
votes
0answers
85 views

Intraday and Intra-Week Pattern of Implied Volatility in FX market

Q1. How does implied vol changes from market opening time to market close time? I have read that it decreases during the day i.e. it opens high and closes low. what is intuitive and mathematical ...
1
vote
2answers
102 views

What duration of treasuries to add to portfolio of stocks

If I have a portfolio of stocks and want to add treasuries would it be better to add very long duration treasuries or a levered position in shorter duration treasuries? Why?
0
votes
1answer
58 views

Some interpretation on some plots / statistics

I have been playing with a model just for learning purposes (I don't expect to make any money from the model) but I wanted to get some opinions on what you think are "good" values and some opinions on ...
0
votes
1answer
111 views

PCA FOR STOCK PICKING

lets say I am an equity analyst and I want to figure out what fundamental metrics I should use when I am analyzing an industry , I can use pca on a bunch of stocks in an industry using their ...
3
votes
1answer
85 views

Interpretation of Fama French portfolio

I have two portfolios, one "bad" and the other "good". I construct the portfolios by taking the average monthly returns based on some criteria each year. In any given portfolio there could be between ...
0
votes
1answer
57 views

Premium Adjusted Delta in fx market

Please explain the concept of premium Adjusted Delta in FX market. In EURUSD, why delta changes if premium currency is changed from USD to EUR and how this new delta is related to the old one with ...
4
votes
1answer
151 views

Why isn't the Vasicek model arbitrage-free?

Could anyone explain why the Vasicek model isn't an arbitrage-free model? Additionally, which interest rate model is arbitrage-free and why?
5
votes
2answers
392 views

Cointegration and Ratio Pair Trading

I'm having some confusion doing Engle-Granger Cointegration test and then trade the ratio. Methodology: Run an OLS fit for A and B price time series without a constant. Therefore, $\hat{Y} = \gamma \...
1
vote
2answers
88 views

Instantaneous change in value of portfolio

I am trying to figure out an intuitive explanation for the instantaneous change for the value of a portfolio (essentially I'm creating a self-financing portfolio to replicate a derivative payoff). ...
0
votes
1answer
68 views

Average portfolio correlation vs. external metric

I am coming across a problem I can't seem to wrap my head around, and I am not sure I am using the right words so cannot find much info in it! I have a portfolio of assets, with data on historical ...
3
votes
0answers
41 views

Are radial basis functions popular in least squares monte carlo option pricing?

In a Longstaff-Schwarz setting option on several underlyings can be priced using least squares monte carlo. Using suitable set of basis functions, continuation values can be approximated using ...
0
votes
0answers
10 views

Sample uniqueness and sample weight in AFML book

Are they pointing towards to the same thing? I am confused on the term here. Thanks if anyone could help.
0
votes
0answers
35 views

Pca for Portfolio Theory

given the fact that if you take the portfolio returns for different assets in a portfolio the first principle component represents the market exposure of the portfolio and the second principle ...
0
votes
0answers
36 views

Automatically gathering closing prices for stocks listed on different exchanges

I am looking at the holdings for a particular ETF. A lot of the tickers represent stocks on different exchanges. For example for one of the holdings the stock appears on Yahoo Finance, but for another ...
1
vote
1answer
35 views

Is there a quicker algorithm for calculating 'drifted' portfolio weights? (R, Pandas/NumPy, MATLAB)

'Sup, QuantSX. BLOT (Bottom Line On Top): Is there a nice clean algorithm for rapidly calculating portfolio weight drift? In R, Python or MATLAB - I'm not fussed which. Details I'm in the final ...
0
votes
0answers
16 views

How do you find a company average quality of income ratio?

Do you divide the weight average number of shares outstanding basic and diluted/by the net income? Or just add the current year and prior year quality of income ratio divide by two?
0
votes
1answer
119 views

Simulated Sharpe Ratio Calculation for Leveraged Portfolio

I've written some VBA code to simulate the effect of borrowing money, investing it, and repaying the loan daily. PseduoCode: Start with a portfolio value of P = 1 Each day borrow P, invest 2*P, ...
0
votes
0answers
45 views

How does this follow from Ito's formula?

Let $S_t$ be a geometric brownian motion and let $M_t = \sup_{0 \le u \le t} S_t$ be the maximum process. Define $X_t = \frac{M_t}{S_t}$. A book I am reading states the following: How does this ...
1
vote
0answers
53 views

What does “first-order effect” mean?

In the textbook Asset Pricing by John Cochrane, on p. 25, it says: "This prediction holds even if the payoff $x$ is highly volatile and investors are highly risk averse. The reason is simple: if you ...
-1
votes
1answer
38 views

Example of an ATMF trade in FX market [closed]

Pls give an example of ATMF and how is it different from a regular ATM trade?
0
votes
1answer
29 views

quarterly S&P price

I need the quarterly S&P price, but only have the daily data. What is the official definition of the quarterly price? Is it just the average or is it the closing (opening) price of e.g. march ...
1
vote
1answer
66 views

Where this HJB equation comes from?

I am reading the paper: "Dealing with the Inventory Risk. A solution to the market making problem", by Olivier Guéant, C.-A. L and Joaquin Fernandez Tapia. On top of page 6, there is a HJB equation I ...
4
votes
2answers
252 views

Best topics to begin Quantitative Finance Research/Programming

I have a background in mathematics (Functional Analysis and Probability Theory) and am looking to acquaint myself with research in quantitative finance, particularly with a programming component. ...
0
votes
1answer
19 views

Mapping/crosswalk between SIC to GICS industry classification systems

Is anyone aware of a public SIC to GICS industry classification crosswalk? I am aware of a mapping/crosswalk for: SIC to NAICS ISIC to NAICS
0
votes
0answers
36 views

How effective is simplex projection for portfolio sizing? How is Euclidean projection different?

I am looking at a backtesting framework where the authors do a simplex projection to get final long-only weights. They also have a version with Euclidean projection to simplex. I wanted to understand ...
9
votes
3answers
16k views

How to replicate a digital call option

Call Option S=100 K=100 Payoff=1 (option is not available) How can i replicate this (payoff) with calls and puts with strike prices with multiples of 5$ Thanks for help
0
votes
1answer
70 views

Prove that the portfolio that maximizes utility lies on the efficient frontier

When maximizing mean-variance utility in a portfolio optimization framework $max \{R - \lambda \sigma ^2\}$ where R is portfolio return, $\lambda$ is a risk aversion parameter, and $\sigma^2$ is ...
0
votes
1answer
2k views

Why does depreciation not show up in my income statement?

I'm looking at a company's 10-K which gives me the following line items: Income statement Net sales Cost of goods sold Gross profit Selling, general and administrative expenses Operating income ...
0
votes
1answer
29 views

What is the meaning of multiplying price of contingent claim with e.g consumption level?

In the textbook Asset Pricing by John Cochrane, on p. 57, a budget constraint of a Lagrange optimization is: $c + \Sigma_s pc(s) c(s) = y + \Sigma_s pc(s) y(s) $ $pc(s)$ is "price today of ...
0
votes
1answer
68 views

What was the first formal theory for asset selection/portfolio management?

Just curious about the timeline and evolution of asset/portfolio selection theory from past to present
3
votes
2answers
145 views

Relation between Implied and Historical Volatility of GBPUSD and USDGBP

Q1. How is the implied volatility of GBPUSD and USDGBP related to each other mathematically? Please explain this intuitively as well. Q2. How is the historical volatility of GBPUSD and USDGBP ...
2
votes
1answer
108 views

Portfolio Optimization and Global Minimum Variance Portfolio (GMV)

I have few questions about classic mean-variance-optimization in general. I have a series daily returns of 15 assets and I want to combine these assets in a portfolio. 1) Do you think that 1 year of ...
0
votes
0answers
23 views

Coming up with a statistic that is responsive to changes in a time series, yet not too volatile

Let's say I have a fairly volatile time series $X_t$ - it doesn't have any reason to show an upward / downward trend, but it does show drops and spikes from time to time. It can also change level (e.g....
4
votes
0answers
103 views

Benchmark a Libor Market Model implementation

Assume I have implemented a solution of the Libor Market model PDE in terms of the Finite Difference method. What is a good strategy for validating and benchmarking the results of this implementation? ...
0
votes
2answers
156 views

Prove ρ(X,Z) = ρ

The covariance of two random variables $X$ and $Y$ is defined by: $$\mathrm{Cov}(X,Y)= \operatorname{E}(X-\operatorname{E}(X))(Y-\operatorname{E}(Y))=\operatorname{E}(XY)-\operatorname{E}(X)\...

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