1
vote
1answer
34 views

Capital gains and dividends tax arbitrage

There is a statement in Paul Wimott Introduce Quantitative Finance: Often capital gains due to the rise in a stock price are taxed differently from a dividend, which is often treated as income. ...
3
votes
2answers
127 views

Interpretation of Drift

Consider the common model of stock prices given by a geometric Brownian motion (GBM), which follows the SDE $$ dS(t) = \mu S(t) dt + \sigma S(t) dW(t). $$ Below is a plot of a simulation of such a ...
2
votes
2answers
101 views

The Distribution of Future Stock Price

In Hull, we are presented that $$\frac{\Delta S}{S_{0}}=\mu \Delta t+\sigma\sqrt{\Delta t}\cdot \varepsilon.$$ Following some algebra, $$ \begin{align*} \frac{\Delta S}{S_{0}} &=\mu \Delta ...
18
votes
2answers
1k views

Have Goldman Sachs Quantitative Strategies Research Notes been published as a book or a comprehensive collection?

Back in the 90's, Goldman Sachs (publicly?) released a series called "Quantitative Strategies Research Notes" — mostly technical papers on topic. Emanuel Derman co-authored almost all of them. Some ...
3
votes
2answers
299 views

Seasonal patterns in financial markets (weekday effects)

What seasonal patterns are there in financial markets? Is my feeling "true" that Mondays are more volatile than e.g. Tuesdays (as information gathered during the weekend can only be turned into an ...
1
vote
2answers
83 views

Confidence Intervals of Stock Following a Geometric Brownian Motion

In preparation for my Options, Future's and Risk Management examination next week, I have been presented with a series of questions and their answers. Unfortunately, my lecturer, one of the less ...
1
vote
0answers
52 views

Price of an American call option [closed]

I'm working through revision questions at the moment and we are asked to compute the price of an American call option. Suppose that $dS_t = \sigma S_t dW^*_t, S_0 >0$ Let $0<U<T$ be fixed ...
1
vote
0answers
16 views

how does a bond maturing affect the pricing of the corresponding CDS?

if a bond matures, and there is no other existing bond from the legal entity that has not matured. Then how does that affect the CDS that corresponds to that bond?
2
votes
1answer
105 views

How to use calibrated Standard Stochastic Volatility?

I'm considering the standard stochastic volatility model: $$x_t = \rho x_{t-1} + \sigma \epsilon_x$$ $$y_t = \beta \exp\left[ \frac{x_t}{2} \right] \epsilon_y$$ where $y_t$ is the log-returns and ...
2
votes
2answers
63 views

Measuring Volatility from Execution Prices

I was told of a way of measuring the volatility of a stock by looking at the reported execution prices (from Level III or Level II data.) I'm well aware of how to measure volatility by looking at the ...
6
votes
2answers
82 views

How to price an European Call/Put Option of a jump difussion Process?

Lets have the next jump difussion Stochastic Process: $$S_t = S_0 e^{\sigma W_t + (v-\frac{\sigma ^2}{2})t}\prod_{i=1}^{N_t}(1+J_i)$$ where $W_t$ is the Brownian Motion, hence $G_t \equiv e^{\sigma ...
1
vote
2answers
103 views

Extracting Signal from Noisy Data

Consider a scenario in which Y_t represents the % change in price and we want to use X_t to predict Y_t. We assume that X_t is information we get before Y_t is revealed. Suppose that in reality Y_t ...
6
votes
3answers
296 views

Sharpe ratio and leverage

Does leverage affect the Sharpe ratio? If my Sharpe is 2 at no leverage goes it change, fall by half say, at no leverage?
3
votes
0answers
46 views

Reference Request: Horse Race for Portfolio Allocation

Probably the most popular horse race study for portfolio strategies is Optimal versus Naive Diversification: How Inefficient Is the 1/N Portfolio Strategy?, with DeMiguel, L. Garlappi and R. ...
3
votes
1answer
47 views

LIBOR with different tenor

Let $F(t;S,T)$ be the forward rate from $S$ to $T$ seen at time $t$, and $I$ be one of tenors, i.e. $I$ is one of {1M, 3M, 6M, 12M}. Then the forward curve $t\mapsto F(0;t,t+I)$ is $I$-forward curve. ...
3
votes
2answers
81 views

Does heteroskedasticity of returns depend on the time frame?

Similarly to my last question, for which I obtained very interesting and useful answers, I would like to know if there has been any study regarding heteroskedasticity and time-frames of the returns. ...
3
votes
3answers
113 views

Parameters variation in fundraising financial model

I have created quite a large financial model in Excel with lots of input parameters which (after all calculations) have an influence on the output business indicators. Among the input parameters are ...
2
votes
3answers
72 views

Multi-asset class allocation

How to allocate asset classes in a multi-asset portfolio? An institutional client needs to meet his pension liabilities, and suggested a multi-asset-class strategy. I'm trying to find ideas to pitch. ...
7
votes
3answers
256 views

Option Pricing Model Calibration In Practice

I'm curious how an option pricing model like the Heston model is calibrated in practice. Here's how I imagine it happens: Let's say I have access to the most recent option prices on a given stock ...
2
votes
0answers
33 views

Residual Covariance Matrix, and MVO for Residual Variance and Alpha

My overall goal is to find an efficient frontier using QP in terms of $\alpha$ and residual variance ($\omega^2$) for a portfolio $P$ given a benchmark $B$. We know the equation for residual variance ...
3
votes
1answer
40 views

How do you deal with Inflation lag in a MC simulation?

Consider the UK RPI index. This index is published every month around the 15th (give or take a few days). The publication refers to the RPI index of the month before, so there is a lag of a few weeks ...
3
votes
1answer
44 views

Kenneth R. French data base on momentum and size: construction and how to use it concretely with momentum only

So, you can find all the data bases on this site. More explicitly, I would like to take the "Developed Market Factors and Returns" part. Even more explicitly, let us take the "25 Portfolios Formed on ...
3
votes
1answer
115 views

Lipschitz condition in mathematical finance

I am interested in a rigorous explanation on why the Lipschitz condition plays a major part in stochastic calculus, most significantly in mathematical finance. To be specific, suppose we want to ...
4
votes
2answers
57 views

What are Sell Imbalance-Only Orders?

I am reading the 2014 SEC filing against Athena, a HFT firm. (http://www.sec.gov/litigation/admin/2014/34-73369.pdf) At point 29, they describe the behavior of Athena moments before market closing ...
1
vote
0answers
59 views

Calculating Greeks using BinomialTree in Matlab [closed]

section 1. Calculating sensitivity of the price of derivatives American or European option using binomial tree model section 2. Calculating first order greeks the code compiles till this point ...
2
votes
2answers
69 views

When to adjust portfolio weights?

In portfolio allocation literature there is lot of effort made in obtaining 'better' portfolio weights, for example via improving parameter estimates, introducing Bayesian approaches, incorporating ...
2
votes
1answer
46 views

Dividend as a function of stock

Let's say I have a stock that pays dividend once a year. I know how much did it pay in 2014, and at which level was stock trading when the dividend decision was made. I'd like to use these data to ...
4
votes
2answers
117 views

Is there a relation between these two forecasting/estimation approaches?

When learning econometrics I have usually seen stuff from the following perspective: Assume $Y_t = f(X_t) + e_t$, where f is some function of $X_t$ (typically linear). For example, assume $Y_t = X_t ...
4
votes
2answers
66 views

Importance Sampling - where to center the sampling distribution?

Consider a Monte Carlo (MC) approximation to a European call with BS parameters $r = 0.05, \sigma = 0.4, T = 10, S_0 = 50$ and $K = 95$. Consider the following results, each using 1M points: plain ...
6
votes
3answers
199 views

Can Gaussianity of returns depend on the time frame?

I would be interested in knowing if the fact that returns are Gaussian is disproved on all time frames, or if, for example, the 5 minute intra-day time frame could exhibits Gaussian returns assuming ...
2
votes
1answer
102 views

How to hedge a put under the Black-Scholes model?

To hedge a call, one would invest the option price proceeds into $\Delta_t*S_t + B_t = c_t$. (ok) However, a put has negative delta, so I would short $\Delta_t*S_t$ and invest ...
0
votes
1answer
70 views

Implied volatility interview question [closed]

If an implied volatility of an out of the money call option goes to infinity,what happens to the delta of the said call option?
-1
votes
1answer
30 views

Monthly Return Net of Fees [closed]

How can I calculate the monthly return net of fees if the fee is annual?For example, if every year there is a 20% incentive fee, is there a formula to adjust the return of each month to compensate for ...
5
votes
1answer
100 views

How to tackle this exercise about Ito's formula?

In the following exercise, I can't get started on question 2) as I am not sure what to do when there is an integral inside: Could you help me out?
0
votes
0answers
12 views

daily feed for ETP delistings, redemptions and listings

I am looking for a feed or website that will post new exchange traded products(ETF, ETN, ETC exc..) launches, liquidation, redemptions or any other related events. I found one at etf.com however it ...
0
votes
0answers
40 views

Benchmarking option pricing under stochastic interest rates

I priced a long-term option (10 or 20 years) using two different models: one assumes constant interest rates, the other assumes stochastic interest rates. Is there a way (e.g. a benchmark) to ...
1
vote
0answers
31 views

replicating strategy three step binomial

I am having some trouble setting up a replicating strategy for a call option with a three step binomial model (discrete). I have no trouble doing this in a two step binomial model by backward ...
1
vote
1answer
52 views

Regression model syntax

I'm following the methodology outlined in Developing High-Frequency Equities Trading Models. On page 27, the author outlines an OLS regression model to obtain beta coefficients. The model is defined ...
1
vote
0answers
23 views

Disaggregating stock performance and dividend yield

I modeled the performance of several portfolios with adjusted close data and would now like to understand how much of it is driven by changes in stock price and dividend payouts. I have all the data ...
2
votes
1answer
78 views

Completeness and Hedging Question

A question in some private notes I'm struggling to work through (exam. prep.). (iii) is where I hit a wall with my understanding & I'm lost thereafter. Any help/clarification gratefully received. ...
3
votes
1answer
88 views

What are “Autoquotes”?

I'm reading a 2008 JoFMarkets paper by Shkilko et al. with title "Locked and crossed markets on NASDAQ and the NYSE" in which the authors investigate the determinants of locked and crossed markets. ...
1
vote
2answers
53 views

What interest rate should I use for testing the covered interest parity?

I am doing an empirical test of the CIP from the recent financial crisis between Canada and the United States. I am using 1,2,3,6,12 month forwards (monthly data). What interest rates should I use? I ...
0
votes
1answer
41 views

Portfolio Return Contribution by Sectors

I have a table containing the following fields: Date, PortfolioReturn, CashReturn, Sector1Return,...,Sector10Returns 'PortfolioReturn' is the sum of CashReturn + return contributed from 10 market ...
2
votes
2answers
119 views

Why/How does a hedged portfolio make profits?

This is probably a very easy question but I am new to the field and couldn't find an answer. Assuming that I am building a hedged portfolio with a long option and going short delta on the underlying. ...
3
votes
1answer
48 views

Fama French model-small market beta (weird)

I am analyzing if good governance portfolios outperform bad governance portfolios. After dividing firms with good governance into one pf and bad ones into another for European companies I tried to run ...
9
votes
3answers
332 views

Why do people always seek finite-variance models for option pricing

For the purpose of getting fatter tails than the Guassian, I have seen people for example use $\alpha$-stable processes to model the stock. But in that case they end up using 'tempered' versions of ...
0
votes
0answers
43 views

“Hedging” a put option, question on exercise

I have a question on the following exercise from S. Shreve: Stochastic Calculus for Finance, I: Exercise 4.2. In Example 4.2.1, we computed the time-zero value of the American put with strike ...
1
vote
2answers
102 views

Variable Drift Ornstein–Uhlenbeck Process

The Ornstein–Uhlenbeck process is defined as the stochastic process that solves the following SDE: $dx_t = \theta (\mu-x_t)\,dt + \sigma\, dW_t$ where $\theta>0$, $\mu$ and $\sigma>0$ are ...
0
votes
1answer
56 views

FX Portfolio Volatility Targeting

If I have 3 different currency trades (ex short EURSEK, short NZDUSD, long USDJPY), how do I size each trade if I wish to allocate risk equally in order to target a 12% portfolio volatility (allowing ...
2
votes
1answer
22 views

Calculating the rate of return over a year then the data for a year before does not exist

I am trying to find the growth rate of a stock over a given year. Let's say I wanted to find the growth rate from today, June 11, 2015 to June 11, 2014. This is easy enough when you have perfect ...

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