0
votes
1answer
36 views

Does a Call Spread always need to be symmetric?

I have a plot of a Call Spread Option at time $t ={0}$ but the graph of the call spread is not completely symmetric. My question is: does it have to be? Here is the plot I'm referring to: I'm just ...
2
votes
0answers
45 views

Implied volatility

I have a question about calculating the implied vol. Assuming the implied vol that a option will expire in 1 day is $\sigma_1$, and the implied vol that the option will expire in 2 days is $\sigma_2$. ...
1
vote
1answer
35 views

Time-Value of money exercise problem. Any advice on how to solve?

Problem An investor will receive $365 at the end of each year for thirteen years. The first payment will be received four years from now. Given that the interest rate is 3%, the present value of this ...
2
votes
4answers
148 views

Merton model riskless self-financing derivation

Suppose $dA_t = A_t[\mu dt+\sigma dW_t]$ (assets' value) under the physical measure, plus the other assumptions of the Merton model. Suppose further that debt and equity are tradeable assets that ...
1
vote
1answer
69 views

where can I get a list of all yahoo finance stocks symbols

I remember having seen that somewhere, I can't find it any more. Anyone knows how can I get all the list of stocks on Yahoo finance. Or even all american stocks, maybe Russell 1000/2000/3000...
4
votes
1answer
196 views

Black-Scholes Model for portfolios

Given Black and Scholes model, consider the portfolio $a_t$ = 1/2, $b_t$ = $1/2$$S_t$ $exp(-rt)$. Show that this portfolio replicates one share of stock. Show if it is self-financing. Find ...
1
vote
1answer
57 views

Can a momentum strategy be cast as a multilinear regression model?

Disclaimer: the question is similar to Can momentum strategies be quantitative in nature? and (to an extent) What is the expected return I should use for the momentum strategy in MV optimization ...
1
vote
0answers
19 views

Are forward rates starting at observation date spot rates?

In part 3.2 of Lu and Neftci (2003) "Convexity Adjustments and Forward Libor Model: Case of Constant Maturity Swaps", the authors propose a new way of pricing CMS swaps, with Monte Carlo simulations. ...
2
votes
1answer
42 views

derive vega for black schole call from this formula?

Is it possible to get the right formula for vega of a call option under the black scholes model from this formula? $$\frac{\partial{C}}{\partial{\sigma}}=\frac{S_0}{\sqrt{2\pi}}{e^\frac{-d_+^2}{2}}(\...
2
votes
1answer
75 views

How can extract parameters in the CIR model from data?

I want extract CIR parameters from monthly LIBOR data in the EULER-MARYAMA method in MATLAB languge. I find data but I cant extract parametrs form that! what is the process? what is the formula?
0
votes
1answer
6 views

What is the u vector in the expression for the weights of the min variance portfolio

I was working on my finical math homework where I need to find the minimum variance portfolio. I need to use the following matrix expression. Nowhere in the class notes does the instructor say ...
0
votes
0answers
10 views

subsamples versus dummy variable approach, Fama MacBeth (1973) procedure

I am running an asset pricing test (Fama MacBeth); regressing six month ahead excess stock returns on past six month return (momentum) and a number of control variables (B/M, Size etc). I have run my ...
0
votes
0answers
43 views

Comparison of Implied Vol Models

My goal is to evaluate a collection of implied volatility models for accuracy supporting real time theoretical pricing of listed equity option. My current research approach is to define a set of ...
1
vote
0answers
98 views

Machine learning techniques for quantitative finance?

I am a mathematician who wants to learn about quantitative finance, in particular how machine learning can be applied to it. I assume some machine learning techniques are more applicable than others ...
4
votes
1answer
131 views

How to obtain Standardized Residuals from a Time-Series?

I have my estimates for an AR(3). To obtain the residuals I'm supposed to use $$Y_t-\hat\phi_0-\hat\phi_1Y_{t-1}-\hat\phi_2Y_{t-2}-\hat\phi_3Y_{t-3},$$ where the Y's are from the dataset. If I do ...
2
votes
1answer
73 views

Bivariate Gaussian copula with exponential margins

I got little bit lost in the formulas. Assume to have two random variables distributed exponentially $X_i \sim Exp(\lambda_i)$ and $X_j \sim Exp(\lambda_j)$. Thus, the distribution functions are $...
1
vote
0answers
66 views

cointegration strategy

If it can be proved that two time series $$S_t^1=\alpha + \beta S_t^2 + \xi_t$$ representing stocks are correlated, with $\beta=-2$ and then are proved to be cointegrated, how a portfolio should be ...
1
vote
1answer
61 views

how to derive critical values for augmented Dickey–Fuller test (ADF) using Monte Carlo method?

Can anybody explain in simple terms how the critical value of the ADF test can be derived using Monte Carlo simulation?
3
votes
0answers
51 views

Calibration of Merton's jump diffusion model

Setting In my financial engineering project I'm working on a new calibration formalism for jump-diffusion models and in particular Merton's jump diffusion model. A jump diffusion process $\{X(t), t \...
2
votes
1answer
37 views

News about CAPM/FF3FM or asset pricing models in general

Is there any interesting news about CAPM/FF3FM or asset pricing models in general lately? Would have been greatly appreciated!
1
vote
1answer
53 views

Backtesting algorithms

Are there any books/papers/articles to describe how to develop a backtesting software? Something like backtest in quantopian website. How do they calculate the Cumulative performance?
0
votes
1answer
47 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 ...
1
vote
0answers
24 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
76 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)^+ ...
1
vote
0answers
131 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
20 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 ...
2
votes
1answer
69 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 ...
2
votes
1answer
126 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 ...
1
vote
0answers
14 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 ...
3
votes
1answer
108 views

Boundary Conditions for Call Spread

I was just wondering if someone could verify whether these are the two boundary conditions for a Call Spread Black-Scholes PDE. The first one I have is: $max(S_{T} - K_{1}, 0) - max(S_{T}-K_{2},0)$ ...
1
vote
1answer
47 views

logarithm and absolut value in returns of stocks [closed]

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 ...
1
vote
2answers
76 views

Relationship between interest rate and corporate bond yield?

I have been reading articles on liability driven investing, a technique used to increase the correlation b/w assets and liabilities of a pension plan. It appears that they use AA rated corporate bond ...
0
votes
0answers
22 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
69 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 ...
4
votes
1answer
128 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 ...
4
votes
1answer
60 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
0answers
19 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
44 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 ...
1
vote
1answer
46 views

Can I deduce a portfolio is inefficient by compare is Sharpe ratio to the on the one the tangent portfolio?

If I have a portfolio with a Sharpe ratio lower than the Sharpe ratio of the tangent portfolio, can I conclude something about whether or not it is efficient? If so, how/why?
2
votes
1answer
73 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
1answer
73 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 ...
1
vote
0answers
86 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. http://www....
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?
2
votes
1answer
40 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} \binom{n}{k}s^k(1-...
2
votes
2answers
57 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?
1
vote
1answer
26 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 ...
1
vote
1answer
36 views

What is Estimation Risk - VAR Backtest

Simple Question. Can someone explain please: What is Estimation Risk in Value at Risk Backtesting
1
vote
0answers
61 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
1answer
53 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: http://www.google.com/finance/historical?q=.INX&...
1
vote
1answer
97 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 ...

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