3
votes
1answer
19 views

Stochastic Calculus Rescale Exercise

I have the following system of SDE's $ dA_t = \kappa_A(\bar{A}-A_t)dt + \sigma_A \sqrt{B_t}dW^A_t \\ dB_t = \kappa_B(\bar{B} - B_t)dt + \sigma_B \sqrt{B_t}dW^B_t $ If $\sigma_B > \sigma_A$ I ...
4
votes
2answers
132 views

good R package for vectorized option pricing

I am using for now the package fOptions but it doesn't allow for vectorized computation of black76 prices and delta. Which package can be used to do that? As noted ...
2
votes
0answers
5 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 ...
2
votes
1answer
34 views

Speed of mean reversion of an interest rate model

I would like to have a bit more of intuition about the concept of "speed of mean reversion" for an interest rate model, e.g. Vasicek or CIR. In particular, is a negative speed of mean reversion ...
0
votes
0answers
25 views

Long-Term Government Bond Yields

On the Federal Reserve of St. Louis FRED website we can find the 10-year government bond yields: https://research.stlouisfed.org/fred2/data/IRLTLT01USM156N.txt. I chose monthly frequency and percent ...
0
votes
0answers
7 views

What is type of Operating income to total assets ratio?

What is type of Operating income to total assets ratio? Leverage, Profitability, Asset composition or Liquidity? and why?
5
votes
2answers
65 views

Reflection Principle

Let $(\Omega,\mathcal{F},P)$ be a probability space and $\{W_t ∶ t ≥ 0\}$ be a standard Wiener process. By setting $\tau$ as a stopping time and defining \begin{align} ...
3
votes
2answers
45 views

List of momentum indicators

Is there a definite list of momentum indicators? A quick search on Google did not yield much, so I thought to ask this here.
3
votes
1answer
31 views

Why risk-free interest is needed for Margrabe's Formula?

The source code for Margarble's formula in QuantLib is here. The implementation requires a forward price be computed: ...
4
votes
2answers
116 views

Ito's formula for Jump process

Let $\{N_t\,|\,0\leq t\leq T\}$ be a Poisson process with intensity $\lambda>0$ defined on the probability space $(\Omega,\mathcal{F}_t,P)$ with respect to the filtration $\mathcal{F}_t$ and ...
2
votes
1answer
24 views

Joint probability distribution only measures product sets?

According to these notes (top of p 133), "We say that random variables $X_1, X_2, \ldots X_n : \Omega \to \mathbb{R}$ are jointly continuous if there is a joint probability density function $p(x_1, ...
2
votes
0answers
10 views

conferences for credit portfolio managers

What are worth conferences for credit portfolio managers? I appreciate your recommendations! PS:I am aware that this question is not the typical quant.SE question, BUT I couldn`t find reliable ...
4
votes
1answer
31 views

Extended CIR and discretization

Did someone know how to discretize this process efficiently : $dX(t) = \kappa [\theta(t)-X(t)]dt + \sigma \sqrt{X(t)}dW(t)$ I am looking for something more sophisticated than the trivial Euler ...
-1
votes
0answers
20 views

Conversion of SPY prices to ES prices

I have a system that I use intraday that works great on SPY. Due to the extra leverage available plus other benefits I am thinking about trading the system using ES. Is there a conversion factor ...
0
votes
1answer
27 views

Johansen test on two stocks (for pairs trading) yielding annoying results

I hope you can help me with this one. I am using cointegration to discover potential pairs trading opportunities within stocks and more precisely I am utilizing the Johansen trace test for only two ...
2
votes
1answer
24 views

Underlying Sample Space in Continuous Market Model

E.g., a model for $N$ stocks might have each follow a GBM $dS_i = \mu_i S_i dt + \sigma_i S_i dW_i$, where each $W_i$ is independent of the others. Letting $(\Omega, \mathcal{F}, P)$ be the ...
2
votes
0answers
42 views

Fitting High Frequency Indicators

I have a high frequency time series of the bid and ask prices of a stock recorded on every tick. For each data point I also have a certain indicators that predict the future movement of the price. The ...
0
votes
1answer
41 views

Accuracy of GARCH& ARCH forecast

I'm learing ARCH&GARCH model. I have four questions that I don't know the answers 1st: ARCH & GARCH are often used to evaluate equities. Does it mean that ARCH and GARCH are fitter for high ...
2
votes
0answers
19 views

Matlab Portfolio Optimization with bid ask spread

I'm trying to find the optimal portfolio of options and stock which minimizes the standard deviation of the portfolio returns but also taking into consideration the bid and ask prices of the assets. ...
0
votes
1answer
19 views

Aggregate interactive brokers data in matlab

I am using matlab and interactive brokers API. I am getting real time data using tickerID = ib.realtime({ct},'233',@(varargin)ibEventRealTimeData(varargin{:})); where ib is the interface to ...
3
votes
1answer
57 views

How can one value a Bermuda option?

A Bermuda option allows early exercise at predefined dates, e.g. at maturity equal to $t_1$, $t_2$, $t_3$,...; hence , would its value be the sum of 3 discounted European options with 1-year ...
2
votes
0answers
43 views

Hedging - calculating option prices using implied volatility surface

To hedge a strategy is it accurate "enough" to price an option using an implied vol curve vs moneyness (strike/spot) assuming sticky delta? The moneyness can be read off the chart, its corresponding ...
4
votes
1answer
54 views

Numerical example of how to calculate local vol surface from IV surface

I'm looking for an excel example (not a copy of Dupire's eqn) of how to convert an IV surface to a local vol surface. If unsuccessful I'll work through Dupire's eqn but would be helpful to look at an ...
2
votes
1answer
41 views

Why can't you arb skew by buying options with low implied vol and selling high implied vol in the same month and dynamically hedging?

there's something I've been trying to understand for a while now and I just can't quite understand with regards to skew. In the same month, why can't you buy a option that have low implied vol on the ...
1
vote
2answers
27 views

Using IRR to calculate future value of cashflow

Discounting a cashflow using given forward rates will result in the following present value: PV = 102.875 = ${5\over (1+3\%)}$ + ${5\over (1+3\%)(1+4\%)}$ + ${105\over (1+3\%)(1+4\%)(1+5\%)}$ where ...
3
votes
1answer
488 views

The greeks: where do they come from?

I’m studying the BSM model and having a look at the greeks. I was reading Derivatives, by Paul Wilmott, and he gives the closed form solutions without making the reader see where these solutions come ...
0
votes
2answers
59 views

How can one get broker order data?

Is there any chance to get order data from any broker with a label from which account it came from? The accounts can be anonymized, i just need to identify an account's orders sent. Any help will ...
5
votes
0answers
35 views

Pricing an American call under the CGMY model

I am pricing an American call under the CGMY model ($0 < Y < 1$) with strike $K$ at grid point $(x_i,\tau_i)$ where $x_i=x_{min}+i\,\Delta x $ for $i=0,1,...N$ and $\Delta ...
1
vote
0answers
5 views

The difference in sign bias test in detecting the exist of asymmetric effects and the adequacy of symmetric GARCH model.

The question is that I want to know whether there is difference in the applying of sign bias test in detecting the exist of asymmetric effects and the adequacy of symmetric GARCH model. In the ...
2
votes
0answers
13 views

Yield for valuation of illiquid corporate bond

I am trying to value a illiquid corporate bond issued at a discount to face value by a privately held company in India. The corporate bond is a sinkable bond (amortizing principle) with coupon rate of ...
1
vote
1answer
25 views

Finding the Interest Compounded with Bank Advertising Yield

A bank is advertising 9.5% accounts that yield 9.84% annually. How often is the interest compounded. Answer is Quarterly. I've been trying to look for the formula for this; it doesnt seem to be ...
1
vote
0answers
17 views

Major categories of tradable securities and the ETF's that track them?

I'm just starting to learn about quantitative finance and I'm overwhelmed by the amount of tradable securities out there. I'm seeing all these things like VXX, TLT, TMF, SPY, SPXL, HYG, VWEHX and so ...
3
votes
1answer
56 views

Why $W_{t}^3$ is not a martigale?(by Definition)

If $W_t$ be a wiener process then,how can i show that $W_{t}^{3}$ is not a martingale by definition?
3
votes
1answer
73 views

Ho-Lee Model; Please explain

I'm having trouble with the Ho-Lee model for short rates and differentiating between how to find the values for the free parameter λ versus using the model to predict future rates. The Ho-Lee model ...
3
votes
1answer
53 views

How can I calculate $Cov\left(\int_{0}^{s}W_u\,du\,\,\,,\,\int_{0}^{t}W_v\,dv\right)$

How can I calculate? \begin{align} Cov\left(\int_{0}^{s}W_u\,du\,\,\,,\,\int_{0}^{t}W_v\,dv\right) \end{align} Thank you for your attention.
5
votes
0answers
33 views

Are there references about liquidation, transaction, market impact costs in portfolio optimization

I am looking for some references treating of what I would call liquidation cost market impact cost transaction cost(*) in the usual "portfolio optimization problem under linear constraints". Let ...
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 [on hold]

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
224 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
21 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 = ...
5
votes
1answer
81 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
77 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
42 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
61 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
77 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 ...

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