0
votes
1answer
46 views

Lebesgue-Stieltjes integration and related topics

The theory of stochastic integration relies on the concept of the Lebesgue-Stieltjes integral. However, it is hard to find a textbook that handles this concept in detail. Take, for instance, Chung ...
0
votes
0answers
23 views

Can an order be filled but uncommitted?

Let's say I place an order to buy shares. Let's says uncommitted shares are those not actively working with other destinations or brokers, and committed shares are those actively working but yet ...
3
votes
1answer
90 views

Pricing a log-contract using Monte Carlo

Having a payoff of log-contract defined as $$ \Pi_T = \ln \left(\frac{S_T}{S_0} \right) $$ How would you express the MC-estimator for the price of this contract? The stock price dynamics here is ...
3
votes
1answer
47 views

Carr-Madan european contingent claim payoff decomposition formula - application

Looking for some clarification to the values of the parameters used in the Carr-Madan payoff decomposition formula. $$f(S_T)=f(\kappa) + f'(\kappa) (S_T - \kappa) + \int_0^{\kappa} f''(K) (K-S_T)^+ ...
0
votes
1answer
42 views

Derivation of the tangency / maximum Sharpe ratio portfolio in Markowitz Portfolio Theory? (2 risky assets)

I’m looking for a nice & detailed explanation for how to derive the formula for the weight of asset 1 in the tangency / maximum Sharpe ratio portfolio in Markowitz portfolio theory in a world with ...
0
votes
1answer
43 views

Vasicek yield curve

Term structure is determined by a two-factor affine model (Vasicek). Using the monthly swap market data, we fit the model to match exactly the one-year and ten-year points along the swap curve ...
0
votes
0answers
40 views

How is the formula for the VEV (VaR-equivalent volatility) in the PRIIP document derived?

The recent regulation (page 32) on PRIIPs requires to compute a VaR-equivalent volatility defined as $$\mbox{VEV}=\frac{\sqrt{3.842-2\ln \mbox{VaR}}-1.96}{\sqrt{T}}$$ Does anyone have an idea how ...
0
votes
0answers
13 views

How to Neutralize Portfolio across economic sectors and industries using modified Alpha?

I am reading about Alpha and Portfolio Construction topic while reading i came across below point. Active management should be easy with the right alphas. Sometimes it isn't. Most active managers ...
1
vote
1answer
64 views

Is this formula correct to estimate a knock out option price using monte-carlo?

I have a knock-out option with barrier $L>0$ and strike $K$ that pays at maturity $(S-K)_+$. So, positive payoff occurs only in case the price stays below the barrier over life of the option. I am ...
1
vote
1answer
123 views

Problem with derivating integral

I have a doubt : I know that if $x_{t}=\int_{0}^{t}\gamma(s)dW_{s}$ (with $W_{s}$ a brownian motion), we have : $dx_{t}=\gamma(t)dW_{t}$ What about if $x_{t}=\int_{0}^{t}\gamma(s,t)dW_{s}$. Do I have ...
0
votes
1answer
39 views

logarithm and absolut value in returns of stocks

Well, i'm interested in model a GARCH for a serie. The original serie is $y_t$ (price index of a Stock Market), which has a unit root. So i create the returns: $x_t = ln(y_t) - ln(y_{t-1})$. Now, i'm ...
0
votes
1answer
31 views

Sharpe ratio and efficient portfolio

If I have a portfolio with sharpe ratio less than the sharpe ratio of the tangent portfolio, can I conclude something about whether or not it is efficient? If so, how/why?
0
votes
0answers
13 views

Deming Regression

I am trying to test the linearity = interdependence or the non-linear (contagion) between Asian countries during the Asian crises using the fluctuation of the exchange rate. Is it relevant to use the ...
2
votes
1answer
107 views

Quantlib FuturesRateHelper triggers not a valid IMM date error

I'm beginning to use QuantLib with Python SWIG, and trying to build a EUR yield curve. I face this error which frankly I don't understand; I looked at the code of bool IMM::isIMMdate in imm.cpp and ...
0
votes
0answers
19 views

How to Download Benchmark Weights in R on daily basis?

I would like to download benchmark weights on a daily basis in R for NSE Stock Exchange. Do we have any package in R for the same. If yes, then please help out with example code.
1
vote
1answer
45 views

Mean Crossing for Ornstein-Uhlenbeck

Suppose we have classic Ornstein-Uhlenbeck process. How can we calculate expected number (and variance too) of crossing mean value over the certain period of time? Say, if we have discrete OU process ...
1
vote
2answers
45 views

How to download all 10-K reports for all companies listed on S&P 500?

I am doing a regression analysis of all companies listed on s&p 500. It requires their 10-k reports. Where can I download all of them once?
3
votes
1answer
54 views

clarification to log-stock price formula

Having financial market with safe rate r and risky asset S with dynamics under physical measure P $$\frac{dS_t}{S_t}=\mu dt +\sigma dW_t$$ what is the log-stock price? Using Ito formula it is ...
1
vote
1answer
36 views

SKEW Index as parameter in lognormal distribution

The CBOE publishes a SKEW index, which is SKEW = 100 - 10*S, so from the index itself we can get S = (SKEW - 100)/10. I just ...
0
votes
0answers
12 views

How can factor certificates achieve constant leverage?

How does a bank which offers a factor certificate with unlimited maturity, e.g. a certificate which promises the holder to change in value in a constant proportion with respect to a change in the ...
0
votes
1answer
67 views

The Dog That Did Not Bark?

I've been reading Cochrane's 2006 paper "The Dog that did not bark: A Defense of Return Predictability", but i am still struggling to understand what the dog was, and why it wasn't barking? If anyone ...
0
votes
0answers
64 views

Update Daily price from yahoo in R

I am trying to update daily prices from yahoo via below R code, but code is not working properly and i am not getting any error as such. One can see the reference code at following link. ...
8
votes
1answer
278 views

Distribution of hitting time of the integrated CIR process

If an increasing process $X_t$ has a known Laplace transform $\mathbb{E} e^{-s X_t} = m_t(s)$, define its hitting time $\tau$ to some level $B$ to be $$ \tau = \inf\{ u > 0 : X_u \geq B \}. $$ Can ...
1
vote
0answers
18 views

Pricing with-profit/smoothed bonus annuity using Black-Scholes

Would this be possible? Subsequently, would the pricing of such an annuity be somewhat similar to pricing a lookback option?
0
votes
1answer
31 views

What is Estimation Risk - VAR Backtest

Simple Question. Can someone explain please: What is Estimation Risk in Value at Risk Backtesting
1
vote
1answer
38 views

What is the limiting distribution of loss portfolio?

I am working through this paper on Vasicek's portfolio loss distribution. On page 3 he mentions that by the law of large numbers, $$\lim_{n\to\infty}\sum_{k=0}^{\lfloor nx \rfloor} ...
3
votes
1answer
86 views

Comparing a money-weighted return of my own portfolio with a benchmark ETF/other portfolio that is subject to the same cashflows

I am able to calculate the money-weighted return (XIRR equivalent in Excel) of my portfolio. Whilst I can compare this with ‘headline’ returns of ETF’s, Mutual Funds etc, I want to isolate the timing ...
0
votes
1answer
23 views

Is it possible to find / estimate the volatility surface of non-listed index options?

I have 3 QNET options (european, 2 puts, 1 call, all same expiry, different strikes) that the broker is pricing clearly off a volatility surface. Bloomberg only carries historical volatility and I ...
4
votes
3answers
6k views

Does implied vol vary for calls vs puts?

Volatility skew tells us that options with the same maturity at different strikes can have different implied vol. However, can a corresponding call and put for the same strike and maturity have ...
1
vote
1answer
167 views

Robust way to calculate P&L for stocks/futures trading

I have implemented a class in C# that will calculate P&L based on this description from TT. However it worries me that it gives different results for the same fills, if you apply the "fill ...
4
votes
1answer
195 views

Wrong discount factors when finding Nelson Siegel Svensson model parameters

I am trying to determine the parameters for the Nelson Siegel Svensson model and am solving a Non- Linear Optimization problem to do this. Some of the code I have written is below and this is where my ...
1
vote
1answer
253 views

Weights Blowing up in PCA

I'm using daily settlement data to get yield levels for a couple of products. From this data I am doing PCA on a rolling collection of the yield levels. I have been using sci-kit learn's PCA function, ...
2
votes
1answer
54 views

Simple Moving Average Backtest: Cumulative Return too high

I apologize if this is way too basic a question, but I'm an absolute beginner to trading and am in the process of learning the fundamentals. Currently I'm trying to model a (10-day) SMA backtest in ...
1
vote
1answer
63 views

Does the unconditional variance implied by a GARCH equal the sample variance?

In the MATLAB default settings for GARCH estimation they say "presample conditional variance is the sample average of the squared disturbances of the offset-adjusted response data y". Am I right in ...
1
vote
1answer
50 views

Why are Yahoo Finance API values different from the web interface?

(SOLVED: Solution is below the second graph) The API results on GSPC: Same period in the interactive chart of ^GSPC: SOLVED ...
2
votes
3answers
95 views

How to understand nonrandom/random process in Shreve book?

I have been reading Chapter 4 of Shreve's Stochastic Calculus for Finance II. It is easy to understand the simple process, $\Delta(t)$, defined on Page 126, which is just a constant inside a given ...
1
vote
0answers
59 views

Quadratic variation

The following question is more math than quant, but since it arises from a mathematical finance textbook, I've figured the good people in this sub might be able to help me. So here goes. In the 3rd ...
1
vote
2answers
99 views

How many years of historical data is require for Portfolio Optimization?

I would like to know about below questions. How many years of historical data is require for Portfolio Optimization in R programming. Thanks Atul
0
votes
1answer
33 views

S&P 500 and Dow Jones from Google API

How can one query the Google Finance API for Dow Jones and S&P 500 values? The queries for Dow Jones and S&P 500 will result in error: ...
2
votes
3answers
149 views

Computing loss of Call / Stock Purchase

A seller of an European Call, can, subjectively have unbounded losses. This loss may be mitigated by buying the stock (covered call). In this case,, the loss will be bounded at A. How would one ...
0
votes
2answers
38 views

CAPM - Do I use start or end of period prices?

If I use monthly price data in the standard CAPM, should I take the price at the beginning or the end of the month? What is the convention? Or does it not matter? Is there any literature that deals ...
0
votes
1answer
73 views

Fama-French three-factor model vs four-factor (Carhart) and five-factor model

I'm performing a study where I compare the Fama-French three factor model to the CAPM on the Swedish industrials industry. I do this to compare which of the models is the best performer, but also if ...
7
votes
1answer
48 views

Why Fama and French sort on June's size data and not of some other period?

In Fama and French (1993), p. 8, I read "In June of each year $t$ from 1963 to 1991, all NYSE stocks on CRSP are ranked on size (price times shares)." Later on the same page, they write ...
0
votes
1answer
33 views

Does the starting currency matter in triangle arbitrage?

Say I have an FX arbitrage opportunity by doing a transaction like: EUR -> USD -> YEN -> EUR It seems to me like the (exact) same profit can be realized by starting the transaction in USD and doing: ...
0
votes
2answers
28 views

How to assign n day target variables in machine learning

I am trying to forecast future price using supervised machine learning. My logic is to take open and close price from t, t-1, t-2 and t-3 period to predict future close price in the period t+1,t+3 ...
1
vote
0answers
31 views

Arrow-Debreu Equilibrium Pricing

I have this problem in asset pricing that I don't know how to solve. Here it is: Consider an economy with a complete set of Securities and $N$ states of the world Tomorrow. Assume that there are two ...
1
vote
2answers
52 views

How to Calculate Minimun total Risk?

Is it possible to calculate Minimum Total Risk mathematically for below problem. ...
1
vote
1answer
391 views

CME historical option data provider

Is there any other historical end-of-day CME option data provider rather then CME DataMine? I've searched all the internet and found only CBOE traded options.
9
votes
3answers
215 views

American Call: when it's European?

It is a rather well-spread fact that in Black-Scholes (BS) model for a stock with no dividends that follows Geometric Brownian Motion (GBM), the price of American call coincides with that of its ...
2
votes
1answer
44 views

Modeling transaction cost with single-counted turnover ratio

Why do people use "Single-Counted" turnover ratio when modeling for transaction cost. I read a paper (Factor Investing in the Corporate Bond Market) which uses only the purchase side as turnover ...

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