0
votes
0answers
45 views

How do I show that there is no tangency portfolio?

Question: Suppose that the risk-free return is equal to the expected return of the global minimum variance portfolio. Show that there is no tangency portfolio. A hint for the question states: Show ...
0
votes
1answer
38 views

Financial Mathematics essay topic

I have a mathematics background and I am currently doing a Masters in Financial Mathematics. I am required to write an essay in a financial mathematics area but I have little knowledge about it since ...
6
votes
3answers
229 views

What is the fair price of this option?

Without having to use Black-Scholes, how do I price this option using a basic no-arbitrage argument? Question Assume zero interest rate and a stock with current price at \$$1$ that pays no dividend. ...
0
votes
0answers
14 views

Most-efficient/effective Incentive Scheme Design to Minimize Loan Default Probability

Here is an open-ended, hypothetical question regarding the optimization of a loan incentive scheme. Any and all suggestions/plans are welcome. Please ask any clarifying questions if you wish: A loan ...
1
vote
4answers
69 views

Euler discretization of Heston SDE in Mathematica

Below is an implementation of the numerical solution of the Heston SDE using Euler discretization. It takes under a second to run on Mathematica. The calibration parameters give a good fit to the ...
2
votes
1answer
83 views

The use of GARCH

I have a conceptual question that I haven't managed to grasp yet and is most likely a econometrics 101 question by here it goes: If we estimate a GARCH model for a time series, how do we then use ...
-1
votes
1answer
43 views

Implicit relation between risk and reward

I want to differentiate w.r.t. $\sigma^2$ the following equation $u'(Y)\mu$ + $\frac{u''(Y)}{2}$$(\sigma^2 + \mu^2) = 0$ where we can consider $\mu$(reward) as an implicit function of $\sigma^2$(risk) ...
2
votes
0answers
34 views

DCC GARCH - Specificating of ARCH and GARCH parameter Matrices STATA

The command in STATA to calculate the DCC model of two variables is: mgarch dcc ( x1 x2=, noconstant) , arch(1) garch(1) distribution(t) $$ \begin{bmatrix} ...
3
votes
5answers
344 views

Why the Black-Scholes formula can be used in the real world?

The BS formula is deduced using the risk neutral measure. Why can it be used in the real world?
1
vote
0answers
52 views

modeling regime switching for Correlation matrix

I am trying to estimate covariance in multiple time series. However, I want to do this using a regime-switching framework. So, I start with fitting a GARCH(1,1) model and then de-volatalize the ...
1
vote
1answer
49 views

Variance Swap volatility

In an article, it is mentioned that a parameter is "the variance swap volatility at time t". I know what a variance swap is but I don't know what they could mean by "variance swap volatility". ...
1
vote
1answer
102 views

using garch to forecast volatility but getting low persistence model

I am using a GARCH(1, 1) model to try model volatility for a certain stock. I have a GARCH function in matlab that returns the three parameters, omega, alpha & beta. I then use this parameters ...
2
votes
0answers
161 views

Downloading high-frequency data: S&P 500

can I ask you where am I doing something wrong when downloading high-frequency (5-min) S&P 500 data ("USA500.IDX") from https://www.dukascopy.com/swiss/english/marketwatch/historical/ and when ...
-1
votes
1answer
27 views

dividend cash in month [closed]

I like know how much money dividend cash I get. For example I own two shares of the stock dividend cash will be 4.54$ ? ...
2
votes
0answers
42 views

How to Handle Error in SEC Filings

Sometimes I see obvious errors in the 10-K or 10-Q filings that appear to go uncorrected in subsequent filings for the same period. For example, on June 9, 2014 Apple, Inc. did a 7-to-1 stock split. ...
0
votes
0answers
26 views

is there a limit on how many times i can access fxcm xml feed

i'm writing an python application that uses fxcm's xml feed. here is the link http://rates.fxcm.com/RatesXML does anyone know if there are limits on how many times you can access this data? right now ...
0
votes
1answer
44 views

possible to estimate if hard-to-borrow?

I'm building a low frequency US equity stat arb system. On any given day the system is long ~100 stocks and short ~100 stocks. It trades once a day at the open, and on average 4/5 of the portfolio ...
0
votes
0answers
40 views

How do I find the Sharpe Ratio?

Suppose I'm given two assets, x0, x1 and the stochastic discount factor m. How do I find m_p, then use it to compute Sharpe(R_p)? Any help is greatly appreciated.
1
vote
3answers
65 views

List of central index keys (CIK) for NASDAQ and NYSE

I have seen this post : Central Index Key (CIK) of all traded stocks But I would like to download the CIKs only for NASDAQ stocks, NYSE stocks etc. I searched online but only managed to find CIKs for ...
0
votes
1answer
70 views

Downloading Data from Interactive Brokers using IbPy

I am trying to download data from Interactive Broker using the code below and I am able to create the connection with the Trader Work Station (I get a "True" after ...
0
votes
1answer
47 views

“The drift of stock price becomes the risk-free interest rate” under RNP

Assume that the evolution of a stock price is geometric Brownian Motion $$ dS=\mu Sdt+\sigma SdW(t) $$ where $S$ is the stock price at time $t$ (current time). It says in my book that "under the ...
2
votes
2answers
81 views

Markov Pricing kernel

I'm reading about Markov pricing kernels in the lecture notes of a course I'm following, but I have a big doubt on an application of Ito's lemma. The setting is the following: We define the pricing ...
0
votes
0answers
41 views

Estimating the next tick movement in Chinese markets

I'm working on high frequency trading in the Chinese Futures market and I've been having a bit of trouble with getting orders to go through due to the lack of liquidity and large fluctuations. To ...
0
votes
0answers
40 views

Active or Passive strategy?

From my reading, passive portfoliomanagement means to replicate an index, active portfoliomanagement means to deviate from an index. Does that mean that e.g. rules-based investing is actually an ...
0
votes
1answer
38 views

Linear Model setup for Second-pass Regression

I'm confused on modeling the second pass regression given the beta's from the first pass. First-pass regression : $r_{it} - r_{ft} = a_{i}+b_{i}(r_{Mt}-r_{ft})+e_{it}$ For estimating this model (9 ...
0
votes
2answers
59 views

Right metric to manage a portfolio based on correlation?

I want to algorithmically add a new investment to an existing portfolio. The decision should be based on a low correlation to the existing assets. E. g. the following situation The portfolio ...
0
votes
2answers
72 views

Does a forward price have a drift component in any measure?

Going by intuition, a forward price should already take into account the drift in the underlying price process. Further, assuming interest rates are deterministic, the stochasticity in the forward ...
0
votes
0answers
21 views

Alternatives to CDSs for default term structure?

The CDS market seems to be drying up, funding&liquidity issues are now prevalent over credit, so other sources for default probabilities are needed. What else is commonly used to obtain a ...
2
votes
1answer
62 views

What is the use of computing the par yield?

I have learnt how to compute par yields in class, but I am not certain when knowing this would be of use and by Professor himself said it's a somewhat useless concept. What is the use of computing the ...
0
votes
0answers
15 views

is there any calibration method to calculate FX forward rate? How Bloomberg define FX forward rate

there is any calibration method to calculate FX forward rate? How Bloomberg define FX forward rate
2
votes
2answers
99 views

How to compute the conditional expected value of a geometric brownian motion?

I'm working on a project, and I have to use the cumulative and conditional expected value of the variations of a stock following a Geometric Brownian Motion. I know that the cumulative is as follows ...
1
vote
0answers
50 views

How to measure interest rate risk of an equity?

What is the best method to measure interest rate risk of an equity? For example: I am looking to determine the change in price based on a change in yield. I currently have a position in XLU and ...
1
vote
1answer
78 views

Fitting transition matrices in R by solving for coefficient

I'm using various matrices to impute a fitted transition matrix for credit ratings by solving for a variable [S]. Essentially the idea is to determine a base matrix and stress matrix to compare to a ...
1
vote
0answers
42 views

Investing in all assets with positive expected return and allowing for positive correlation

How does the answer to this question Risk minimization by investing in all assets with positive expected return change if assets can be positively correlated (but not perfectly) and short sales are ...
1
vote
0answers
115 views

Bootstrap yield curve with QLNet / Quantlib

I am trying to grasp QLNet (C# version of Quantlib, all the functions of Quantlib have the same name and work the same way, so if you just know Quantlib, you can still help me), especially for pricing ...
0
votes
0answers
13 views

Cross-post on the prediction mean squared error of a model

In accordance with what discussed in the meta here I am cross-posting this question from cross-validated. Suppose my model is $y_t = \alpha + \beta t + \epsilon_t$ the l-step-ahead prediction is ...
0
votes
1answer
58 views

Fama French 3 Factor Data

I have a trading strategy that uses the Fama and French 3 Factor data. It's provided on French's website up until the previous month or so. And indeed, this is a great source of data. The only ...
1
vote
0answers
61 views

Tangent portfolio weights without short sales?

Consider a mean-variance investor in a world with a risk-free asset. Let $R_f>0$ be the return of the risk-free asset, $\mathbb{E}(R_i)>R_f$ the expected return of the risky asset $i$ and ...
2
votes
0answers
47 views

Calibration of Hull White One factor model in F.C.Park paper

I want to ask a question with reference to a paper from below link http://www.cmpr.co.kr/asset/research_material/implementing_interest_rate_models.pdf Minimization specified in Page 14: Mean ...
1
vote
0answers
48 views

CFA (Level 1) schedule after school and working a 9-5 job [closed]

I am graduating with a BS in math and obviously love math but everything changed when a buddy of mine invited me to an investment society in our school and I love every single experience. The part I ...
8
votes
1answer
160 views

Rich Volatility, Poor Volatility

I have been thinking very hard about properly pricing volatility. Outside of naive AR,ARCH,GARCH forecasting model which employs past data to forecast future vol, how does one "fundamentally" value ...
1
vote
1answer
60 views

Anyone know where I could find a free list of hedgefunds and their strategies…?

I am looking for a (free) list of hedgefunds with their strategies. I have found Barron's top 100 online but am having trouble finding a longer list. Any ideas of where to look?
0
votes
1answer
47 views

Basic questions on the yield curve

When people say "yield curve", do they mean yield/time curve, or yield/price curve? It seems that most of the time, people refer to yield/time curve, as wikipedia suggests. Though sometimes, people ...
4
votes
3answers
98 views

Price of an asian option with squared of average payoff

Is there a closed form solution of the following price formula? Assuming $dS_t=rSdt+\sigma S_t dW_t$ under the Q dynamics $e^{-r(T-t)}\mathbb{E}_t^\mathcal{Q}[(\frac{(\int_0^T S_u du)}{T})^2]$ I ...
2
votes
2answers
78 views

Calculating time value of an option

Can someone provide me with a robust way of calculating the future time value of an option or point in the direction? I have been reading a lot about the factors that affect it and about betas and ...
1
vote
2answers
127 views

How to write a home task report which is part of the interview process for a quant position in a trading firm

I recently appeared in an interview for a quant research post in a trading company. As part of the interview, I was given a home-task to solve in a week. The inerviewer gave me a dataset consisting of ...
3
votes
2answers
194 views

Book recommendation: math toolkit for quantitative finance and statistics

I am looking for a book which teaches mathematical topics which are relevant to master quantitative finance and statistics. Please note, I do not mean a book which would explain how math is applied ...
1
vote
1answer
46 views

Lease Accounting / FX Embedded Derivatives: How to Value Floor / Cap Optionality Features

Suppose you have a lease agreement where the functional/domestic currency is RUB and the currency on which the lease is written USD. Let $S$ be the USD/RUB exchange rate (# of rubles per 1 dollar). ...
0
votes
3answers
75 views

Sharpe Ratio vs Net Profit vs max drawdown

When evaluating the performance of an algorithm, what should hold more importance? Sharpe Ratio , Net profit or max drawdown? For instance, I have two algorithms one performs very good on Stocks with ...
1
vote
1answer
40 views

Determination of Quote / Trade Ratio

What is the common criteria used to count a quote or trade in reference to the quote/trade ratio? Criteria: If it beats the best bid or offer. If it adds size to the best bid or offer. What if the ...

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