1
vote
1answer
31 views

Pricing employee stock options

ESOs are typically priced using the black-scholes model, but with an additional parameter for for the employee turnover rates . An example ...
1
vote
0answers
20 views

order routing for a fill

Lets assume a FIFO rules in futures, I buy a contract and id like to sell it. Should I estimate the possibilite of orders on opposite side would be filled first? If I watch new orders incoming at new ...
0
votes
0answers
11 views

Compounded Quarterly [closed]

Money borrowed today is to be paid in 6 equal payments at the end of 6 quarters. If the interest is 12% Compounded Quarterly. How much was initially borrowed if quarterly payment is $2000 Answer is ...
6
votes
4answers
245 views

If I have found a way to predict stocks trend with 58% accuracy, is it good?

Say I have found a way through technical analysis to predict how stocks would behave with 58% accuracy, how good is this percentage?
1
vote
0answers
22 views

How should I use central banks rates in order to compute 2-day forward exchange rate on EURUSD

Good morning, I would like to compute a 2-day forward exchange rate on EURUSD. For that, I have historical data on EURUSD spot price, and I know that theoretically, when maturity is T we have : ...
4
votes
1answer
58 views

Sharpe Maximization under Quadratic Constraints

When doing Sharpe optimization $$ \max_x \frac{\mu^T x}{\sqrt{x^T Q x}} $$ there is a common trick (section 5.2) used to put the problem in convex form. You add a variable $\kappa$ such that $x = ...
6
votes
1answer
82 views

Boundary conditions of PDE from SV model with stochastic interest rate

The PDE for the American put option price $P(S,\sigma ,r,t)$ is \begin{align*} 0 =& P_t+P_SS(r-\delta)+P_\sigma a(\sigma)+P_r\alpha (r,t) \\ +& \frac{1}{2}P_{SS}S^2\sigma ^2 + ...
2
votes
2answers
78 views

How to select optimal look back period for statistical arbitrage?

Is it possible to estimate the optimal look back period for OLS from which we test if residuals are stationary? Almost all papers that I read use random look back periods of 100 days, 252 days, 500 ...
2
votes
1answer
44 views

Estimate market risk premium?

There are uncountable many factor models to estimate stock returns, such as CAPM, FAMA-FRENCH etc. Which models can estimate the market (index) return? I found only three models: Cay, Dividends and ...
2
votes
1answer
30 views

Is there a Bloomberg field for the first trading date after an event?

For example, if a company reports earnings today after the close (6/24), the earnings date would be 6/24 but the field I'm looking for would be 6/25. If they reported tomorrow before the open, both ...
4
votes
0answers
70 views
+100

Model a floating rate BBB yield curve

Background: We want to design a compensated prepayment liability index to define an amount a bond buyer would need to receive in a redemption prior to the nominal maturity of a bond. Ideally we'd ...
3
votes
0answers
78 views

Bridgewater's Daily Observations

Bridgewater Associates send out Daily Observations to their clients, but I haven't found many traces of these publications online. The series started some 40 years ago by Ray Dalio, and there're just ...
0
votes
1answer
61 views

Local volatility parametrization using the spot

Is it possible to estimate the local volatility using the spot price S at time t instead of the strike price K and the expiry date T ? Any help would be appreciated.
1
vote
1answer
78 views

Acquiring large sets of price series

Selling and delivering real-time data seems to be the focus of practically all large data vendors, but I am more interested in acquiring large sets of historical daily data covering, say, 5.000 ...
5
votes
0answers
40 views

Does price of american (put) option exhibit smooth pasting in time direction under B-S model?

Let us consider the BS model and let $f(s,t)$ denote the price of an American put option with $t$ to expiry, then it is known the solution of the optimal stopping (when it is risk neutral) related to ...
3
votes
2answers
70 views

Hedging portfolio and extraction PDE of SV model with stochastic interest rate

How can I extraction this PDE \begin{align*} 0 =& P_t+P_SS(r-\delta)+P_\sigma a(\sigma)+P_r\alpha (r,t) \\ +& \frac{1}{2}P_{SS}S^2\sigma ^2 + \frac{1}{2}P_{\sigma ...
3
votes
3answers
118 views

Arbitrage bounds for Black-Scholes

In some implied volatility code I came across, there is a check to ensure there is no violation of the arbitrage bounds based on the inputs to the method. For the call option, if $$P < 0.99 * ...
4
votes
2answers
149 views

Covariance between two stocks in a two-factor model

I am studying the Arbitrage Pricing Theory using Pairs Trading: Quantitative Methods and Analysis.In page 44 the author gives an example on how to calculate the covariance between two stocks. I will ...
2
votes
1answer
61 views

Options on Volatility Control Index

I have two question. Does an option on volatility control index exist? If I google it, it seems like there is such an option, but I can't find the option on any of exchanges. So this is my first ...
1
vote
0answers
28 views

ISM PMI data - sector trend through ranking and seasonal decomposition

I have monthly data for each of the 18 sectors in the ISM PMI. Each datapoint shows the trend of a sector: growing, contracting or neutral. It also tells the strength of that trend with a number: ...
1
vote
1answer
74 views

Jacobian transformation

I am trying to calculate pillar-wise sensitivity of a fixed coupon bond using par rates (given pillar-wise zero coupon sensitivities). I came across the formula pv01(par) = pv01(zero) * dz/dr, where ...
2
votes
1answer
24 views

Availability of TotalView-ITCH data

I am looking for a cheap (< $500) NASDAQ TotalView-ITCH real-time streaming data feed. Are there any cheap and (relatively) good market vendors out there that offer this? It seems as if the ...
2
votes
1answer
62 views

Why there are almost no book for revenue analytic?

Why there are almost no book for revenue analytic? By revenue analytic, it is meant to be predicting the revenue of a firm in the future
-1
votes
0answers
29 views

Convert volatility of log returns into volatility of asset (bollinger bands)

I am using a model to estimate the volatility of the log-returns of an asset (standard stochastic volatility model for info) The main question is: How can I find back the windowed volatility of this ...
1
vote
1answer
42 views

Arbitraging upward sloping yield curve

I read from various sources that yield curve is normally upward sloping. If that's the case, if we borrow short term and lend long term, won't we always make money on average? Let's say 1-year ...
2
votes
1answer
34 views

VaR calculation accuracy/comparison/effectiveness through different R packages

My question is what would be the better( in terms of estimation accuracy) method of VaR calculation among below two:, also any small code snippet will be great as a starting point for me. 1st method: ...
0
votes
0answers
31 views

hopey.netfonds.no data missing?

A while ago I took a break from computational/quantitative finance. However, when I started again recently, the data feed I used for tick data was broken, http://hopey.netfonds.no/tradedump.php and ...
2
votes
1answer
87 views

Why is my YTM incorrect? How does accrued interest play into Yield to Maturity?

I'm writing some software that includes a feature to calculate Yield to Maturity for a Bond. I'm using an HP 10bii Financial Calculator to double check the answers produced by my software. I'm running ...
0
votes
0answers
21 views

Intermediate Project Presentation

I would like to know an ideal plan for explaining/representing Greeks (1st,2nd,3rd) order. The topic seems to be quite vast and very interesting but not possible to cover within a 15 mins time frame, ...
2
votes
3answers
85 views

Unique risk neutral measure for Brownian Motion

For a standard geometric Brownian motion model of stock prices: $$ dS = a S dt + \sigma S dZ$$ we can transform the process to be under risk neutral measure: $$ dS = r S dt + \sigma S d \tilde{Z}$$ ...
1
vote
1answer
24 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
113 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
94 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 ...
17
votes
2answers
992 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 ...
2
votes
2answers
276 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
76 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
49 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
15 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
98 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 ...
1
vote
2answers
59 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 ...
5
votes
2answers
64 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
94 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
256 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
39 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
40 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
78 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
112 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
2answers
52 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
178 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
29 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 ...

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