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14 views

Create Random Portfolio Loop

I have semi annuals returns for 303 different stocks. What I want to do in R is create a portfolio of 1, then 1-2, 1-2-3 etc. untill 100 securities is reached. Now the problem is that whenever a ...
1
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1answer
75 views

Building a semi-discretionary system

I've been investing for the last 15 years in a weird Buffett/Soros way. For the last few years I've been toying with the idea of modeling myself. I want to build a 'stock screener' that will be able ...
0
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0answers
10 views

How to analyse under-weighting of boundary information in monthly overlapping one year observations

According to the EBA GL 2017/16 there is the possibility to estimate long run average default rates using overlapping one year default rates. Thus, let us define for each month $i=1,\ldots,m$: $L_i$ ...
0
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1answer
24 views

Momentum factor (mom) weekly

I'm writing my dissertation about mutual fund performance and I can't find the weekly (Mom) factor. If there is a formula to transform monthly to weekly, I thought I would ask here. Thanks.
2
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2answers
2k views

How to compute for basis adjusted forward rate?

To give you a brief background, I'm valuing a fixed-for-float Interest Rate Swap (IRS) using Bloomberg. I put in a notional amount in (USD) and a assigned 6MO USD LIBOR as the reference index for the ...
-1
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0answers
11 views

Operational Risk Loss Distribution with Insurance

** Referring the part (c)... First is the $ 5000. Am I supposed to replace the $ 8000 to $ 5000 while remaining its probability? For the second part which includes the cost of insurance, do I add ...
3
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3answers
436 views

Risk prediction based on financial statements

I have a profit loss statement and balance sheet with the following fields: Example P&L Turnover420,363 - Cost of sales £118,730 £140,169 - Gross Profit £...
1
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0answers
20 views

Who came up with 3/2 SV model

Sorry, not a very quantitative question, but does anybody know who was the first person to write down and publish the 3/2 stochastic volatility model? I need this for a reference/bibliography.
1
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1answer
164 views

Understanding the ZABR model (an extension of SABR)

http://janroman.dhis.org/finance/SABR/ZABR%20Andreasen.pdf In this acticle the SABR model is first presented in another form ( see equation 7 in the article ) and then extended to the so called ZABR ...
0
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2answers
52 views

How does the efficient market hypothesis fit with the rapid changes in prices?

The price of IBM changes from second to second, but there's no way that actual news about IBM is coming out that fast. The information available about IBM changes a lot more slowly than its share ...
2
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2answers
40 views

For Ito Integrals with respect to a Brownian motion, why would the amount of stock held be a stochastic process?

Suppose that $B$ is a Wiener process and suppose $H$ is a right-continuous, adapted, and locally bounded process. Suppose $$\int_0^t H dB$$ is the Ito integral of $H$ with respect to the Wiener ...
0
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1answer
45 views

Random Forests - Trees vs Predictors

This question relates to the use of random forests in finance and the relationship between the number of features, the observations, and the number of trees. Consider the relation between an RF, the ...
1
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1answer
46 views

Can a stochastic process be neither adapted to filtration nor previsible?

The idea behind the question arises from my intuition about the concepts of 'adapted to filtration' and 'previsbility'. If a process is adapted, it essentially means that the evolution of the ...
1
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1answer
87 views

change of measure expectation

How to find expectation of this stochastic process? Also, to show that the expectation of a stochastic process expression [Xt - St] in one measure is equal to expectation of another expression (of the ...
0
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1answer
98 views

Calculate forward discount factors and forward reference rate when discount factors are known

I am trying to learn how to value interest rate swap through portfolio of FRA's(forward rate agreement).But I have got stuck in calculation of floating leg. Here is the scenario as given below for ...
2
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0answers
69 views

Ito's lemma for special case

Assume a HJM framework with the same Brownian motion driving the dynamics for every tenor. $$ df(t,T) = \alpha(t, T)dt + \sigma(t,T) dw_t \,, $$ with $\alpha(t, T) = \sigma(t,T)\int_t^T \sigma(t,s)ds$....
1
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1answer
35 views

$\beta = 1$: Simulation of SABR and whether a solution is *exact*

Quick question regarding the conditional distributions (SABR is just an example here) Consider $$dS_t = \sigma_tS_tdW_t$$ $$d\sigma_t = \alpha\sigma_tdV $$ $$dW_tdV_t=\rho dt$$ Hence a SABR process ...
2
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2answers
82 views

What is the best book to learn about local vs. stochastic volatility, modelling and pricing of Exotics?

I am starting to delve into the world of Exotics and I am trying to find a rigorous yet understandable book that covers both mathematically and qualitatively (especially mathematically) the following ...
0
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1answer
35 views

Subadditivity of cvar(R)، R is random vector

$R=(R_1,\ldots,R_n)$ is random vector in $L^1(\mathcal{R}^n)$. Then is it true that $$ \operatorname{Cvar}(R_1+ \cdots + R_n) \le \operatorname{Cvar}(R_1) + \cdots +\operatorname{Cvar}(R_n)? $$ Can ...
5
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3answers
2k views

What latency should I use for backtesting a high-frequency strategy?

We're developing an HFT strategy for highly liquid futures traded at Eurex. We are planning to colocate our server and to use data feed of QuantHouse and execution API of ObjectTrading. Backtesting is ...
0
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1answer
35 views

stock specific volatility

I was unsure about the precise definition of "stock specific volatility". Used in this question "A stock has beta of 2.0 and stock specific daily volatility of 0.02. Suppose that yesterday's closing ...
0
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1answer
26 views

BHAR Event Study - Index

I want to perform a BHAR event study. For that, I subtract the compounded returns of a benchmark portfolio from the respective stock. Is my assumption right, that I can simply take any underlying ...
0
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0answers
16 views

Spread vol for interest rate spread options in normal environment

Suppose I am long spread option with underlying : rate A - rate B. The vega on the option would be positive. But if I want to compute the option vega with respect to individual rates, can I use the ...
2
votes
1answer
46 views

Is the Non-discounted Bachelier call option price a Martingale?

My math finance professor once said someting that I can't make sense of. Hope you can answer: For a foward process the non-discounted price for a European call option under Bachelier is $$C_t = \...
2
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1answer
65 views

FX Futures pricing formula

I'm reading Paul Wilmott's Introduces Quantitative Finance and stuck a bit with formula $F = S(t)e^{(r-r_f)(T-t)}$ for FX futures pricing. I don't get how to incorporate $r_f$ into the formula, could ...
8
votes
4answers
891 views

Explanation of Standard Method Generalized Hurst Exponent

Apologies if this question is vague, I've gone over how to word it several times in my head, and I'm not sure it gets clearer each time. I've been looking at this website article https://www....
2
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0answers
75 views

Model-Free Option Pricing

From Breeden and Litzenberger (1978) and subsequent work, we may find the risk-neutral density $q_{S_T}$ of $S_T$ from European option prices - assuming there are enough traded options (e.g. SPX) via ...
1
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1answer
134 views

Gil-Palaez Inversion Formula in Black Scholes world

I am trying to calculate numerically the price of a plain vanilla call through Fourier Transform, by applying the Gil-Pelaez formula. More precisely, we have that \begin{equation} C(K) = S_0 \Pi_1 - ...
2
votes
1answer
3k views

Probability of stock closing over a certain price

A stock has beta of 2.0 and stock specific daily volatility of 0.02. Suppose that yesterday's closing price was 100 and today the market goes up by 1%. What's the probability of today's closing price ...
0
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1answer
51 views

Cash Flow Hedge Accounting

In the context of hedging a fixed rate foreign currency liability with a receive-fixed pay-fixed CCS is known that in order to assess the effectiveness of a cash flow hedge the ratio of the change in ...
0
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2answers
62 views

Market maker's Operating Model

I got a question about the liquidity provider's operating model. Really hope if someone can take a look and share some thoughts! Scenario: Say an ETF investor wants to offload a million ETF shares; ...
0
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1answer
44 views

Really simple question regarding options. (Amateur level)

I'm just starting to educate myself on trading and financial instruments and I have what to me seems like a somewhat stupid question but I'd like to pose it nontheless. If I have an option to sell ...
2
votes
1answer
116 views

How much math is needed to understand Fourier Transform methods for option pricing?

I know of FDM and MC methods for option pricing, but have little to no experience with Fourier Methods. I am intending to dive into the literature on using Fourier methods for option pricing, ...
0
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1answer
32 views

Where can I find the formulas to compute the Greeks for European Call and Put Options Assuming no annual dividend yield?

Every formula I come across involves a $q$ (the annual dividend yield). Where Can I find the formulas to compute the greeks assuming no dividends?
-1
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0answers
33 views

Performance attribution of a fund manager

I am given the following data: 1) the monthly sector (consumer staples, utilities, tech, etc.) exposures such that they sum to 100%, but not their individual returns. 2) the fund's monthly returns. ...
1
vote
2answers
113 views

Risk-neutral pricing and statistical arbitrages

I'm studying the martingale approach to asset pricing. Dealing with the concept of risk-neutral probability, I came up with a question about the possibility of "arbitrages in expectation". I'll be ...
48
votes
8answers
50k views

What are some useful approximations to the Black-Scholes formula?

Let the Black-Scholes formula be defined as the function $f(S, X, T, r, v)$. I'm curious about functions that are computationally simpler than the Black-Scholes that yields results that approximate $...
1
vote
2answers
53 views

Intuitive view of conditional expectation

I would like someone to give me an intuitive view of conditional expectation. I mean: I have always understood it through formulas but I don't "see" what it is yet. Thank you
8
votes
2answers
178 views

Interest Rate Models cheat sheet - Need for advice

I'm trying to get through the litterature of interest rate models for some time now. As I don't have any experience working with them, I started looking for some kind of a cheat sheet that would ...
1
vote
1answer
38 views

Equivalence of formulas for pricing the Delta of a European Call Option?

I came across two formulas to compute the Delta of European Call Options. The First: $\frac{\partial C}{\partial S} = e^{(b - r)T} N(d_{1})$ The Second: $\frac{\partial C}{\partial S} = e^{-qr}N(d_{...
2
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1answer
78 views

Discrete vs continuous

When pricing equity futures with the cost of carry model; When do you use continuous compounding and when do you just use discrete compounding? And why
2
votes
2answers
82 views

What's some good literature for Fourier transform methods?

I am looking for literature on Fourier methods in Quantitative Finance. I've been googling and found the book "Fourier Transform Methods in Finance" (Wiley), but the book seems poorly reviewed. ...
37
votes
6answers
19k views

What is an efficient data structure to model order book?

What is an efficient data structure to model order book of prices and quantities to ensure: constant look up iteration in order of prices retrieving best bid and ask in constant time fast quantity ...
0
votes
0answers
18 views

Arbitrage price and American option

I'm studying American Options. If I have $X=(X_n)$ an American option, it is not possible to determine a self-financing predictable strategy ($\alpha, \beta$) that replicates the option in sense that $...
15
votes
5answers
1k views

Why quants think that the risk-neutral measure should not be used for financial forecasting?

In posts regarding the $\mathbb{P}$ vs $\mathbb{Q}$ debate (see 1, 2, 3 or 4), most answers conclude that historical-based methods are better suited than risk-neutral models for financial predictions. ...
0
votes
0answers
12 views

Bootstrapping with QuantLib using deposit rates and Swap rates

I'm trying to bootstrap and to get a zero coupon yield curve with maturities ranging from 2019 to 2059 Here is my code: ` ...
2
votes
1answer
28 views

Valuation of Cash-Or-Nothing option

Studying options pricing, I'm stuck with the following problem: The price of a stock is described by the dynamic: $$dS_t = \mu\, dt + \sigma\,dW_t$$ Compute the fair price of a Cash or Nothing ...
2
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0answers
35 views

Is $\sigma_{1} = \frac{\sigma_{\tau}}{\sqrt{\tau}}$ suitable for volatility scaling?

It seems to be the de-facto method; and I see how we get it from log-normal assumption. However volatility scaling seems to be way more sensitive to $\tau$ than mean scaling -- as in two ~ 2 times (...
0
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0answers
19 views

is there a specific design pattern in C# to model a yield curve into the NS model?

I successfully managed to have a nice NS model to a yield curve I am studying using R, while I am still beginner in C# I wonder if there is a specific design pattern I should follow in order to put ...
13
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2answers
356 views

Have any new stylized facts of asset returns been discovered since 2001?

In 2001 R.Cont stated in "Empirical properties of asset returns: stylized facts and statistical issues" article a set of stylized statistical facts which are common to a wide set of financial assets. ...

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