3
votes
2answers
390 views

How to calculate discounted inflation and growth?

Given the nominal bond yield and the inflation index bond yield (earning yield), how would one calculate the discounted inflation rate (discounted earning growth rates)? These two factor seems to ...
2
votes
2answers
162 views

Pricing forward contract on a stock

Please tell me where I've gone wrong (if I did in fact make a mistake). I'm pricing a long forward on a stock. The usual setup applies: This has payoff $S(T) - K$ at time $T$. We are at $t$ now. ...
1
vote
0answers
175 views

Pricing a Power Contract derivative security

I'm trying to price a "power contract" and would appreciate guidance on the next step. The payoff at time $T$ is $(S(T)/K)^\alpha$, where $K > 0$, $\alpha \in \mathbb{N}$, $T > 0$. $S$ is ...
4
votes
2answers
911 views

How to make the final Interpretation of PCA?

I have question regarding final loading of data back to original variables. So for example: I have 10 variable from a,b,c....j using returns for last 300 days i got return matrix of 300 X 10. ...
3
votes
1answer
2k views

How to simulate a Merton Jump Diffusion process?

I am talking about the Merton Jump Diffusion model, on this page, where they give the following formula: $$ dS_t = \mu S_t dt + \sigma S_t dW_t + (\eta-1) dq$$ where $W_t$ is a standard brownian ...
1
vote
2answers
222 views

Absolute Dollar Form Of Kelly Criterion

Is there a absolute dollar form of the Kelly equation $f=\frac{m}{s^2}$? (i.e. one that does not use percent returns).
10
votes
3answers
2k views

When does delta hedging result in more risk?

There's a question in an interview book saying "when can hedging an options position make you take on more risk?" The answer provided is that "Hedging can increase your risk if you are forced to both ...
1
vote
0answers
172 views

How to calculate a the PFE for a Swaption?

How do you calculate the Potential Future Exposure (PFE) for a swaption? Do you incorporate the dynamics of implied volatility when you are running your simulations? Is there a standard way to ...
2
votes
2answers
3k views

How to Delta Hedge with Futures?

The theory of delta hedging a short position in an option is based on trades in the stock and cash, i.e. I get the option premium and take positions in the stock and cash. In the classical ...
8
votes
3answers
771 views

How to simulate stock prices using variance gamma process?

I want to simulate stock prices with the variance gamma process. The model is given by: $S_T=S_0 e^{ {[}(r-1)T + \omega + z{]}} $ where $S_0= $ starting value $T= $ Time ...
1
vote
1answer
382 views

Performance Stats of Pairs Trades

This is something I've been thinking about for a while but I can't reach a clear conclusion. When we calculate, for example, the profit factor for a pairs trading strategy, do we treat each pairs ...
6
votes
2answers
9k views

How to simulate stock prices with a Geometric Brownian Motion?

I want to simulate stock price paths with different stochastic processes. I started with the famous geometric brownian motion. I simulated the values with the following formula: ...
2
votes
0answers
149 views

Measure change in a bond option problem

This is not a homework or assignment exercise. I'm trying to evaluate $\displaystyle \ \ I := E_\beta \big[\frac{1}{\beta(T_0)} K \mathbf{1}_{\{B(T_0,T_1) > K\}}\big]$, where $\beta$ is the ...
2
votes
1answer
118 views

Question on OptionMetrics: when are adjustments for discrete dividends needed?

Bakshi et. al. (1997) analyzes the empirical performance of some alternative option pricing models. I am interested to do this as well - hence applying different models - but I am unsure how to handle ...
3
votes
1answer
351 views

Calculating portfolio VaR for (custom) leveraged products

I have been searching online for a few days regarding how to calculate portfolio VaR for a portfolio consisting of leveraged products - but so far, I have not been able to come up with anything ...
6
votes
5answers
745 views

portfolio optimization from empirical return distributions

I'd like to do a portfolio optimization of a set of ETF's but want to avoid traditional problems with normality assumptions in returns etc. Are there techniques that let me sample 'draws' from the ...
3
votes
2answers
432 views

When gains are made: Overnight or during trading hours? What is the connection to volatility?

Falkenblog reports an interesting finding: All of the stock returns since 1993 are from overnight returns and cross-sectionally, volatility receives a positive overnight risk premium, a negative ...
6
votes
3answers
263 views

What is the canonical reference for Minimum Variance Portfolio's uniqueness?

I am writing a white paper in which I am trying to compare a strategy to different well-known - and classic - asset allocation optimization approaches. One of the methods I chose is the minimum ...
-2
votes
1answer
102 views

Proxy for a trigonometric angle function [closed]

You can't calculate an actual/real angle with the sine function with discrete market data. I need a substitute value for inputs that require an angle value. If you're only calculating the angle ...
0
votes
1answer
3k views

What does “Inst. Own” mean on Google Finance, and how can AOL be 103% “Inst. Own”'d?

https://www.google.com/finance?q=NYSE%3AAOL&ei=yZCpUODEMsKqqgHPzQE Previously, I assumed "Inst. Owned" meant the percentage of the company's stock that was owned by the company (viz. not ...
7
votes
1answer
641 views

Why would a trader quickly flicker an order immediately preceding a tick away?

The Setup Assume the inside market is $15.15 \times 15.16$ and there is a very large bid order imbalance. For example, 30,000 shares bid across 100+ orders, 200 shares offered across 1 order; ...
7
votes
3answers
600 views

Why is random trading minus transaction costs not zero expected value?

Somebody was telling me that if you buy randomly and assuming no transaction costs in todays market place, you wont make money 50% of the time and lose 50% of the time because of adverse selection. Im ...
0
votes
1answer
184 views

Missing factor in the factor model

I am developing a factor model to predict monthly returns. One of the factors alone accounts for an R squared of 0.3 to 0.4 for many single periods that has surprised me. However, for some periods ...
4
votes
1answer
1k views

Does mean reverting imply mean stationary?

If I have a time series that exhibits mean reverting properties, does it necessarily mean that the time series is mean stationary?
2
votes
2answers
3k views

What kind of return can an average algorithmic trading firm achieve today?

What kind of rate of return can an average, equities-focused algorithmic trading firm expect to achieve today? I come from a background of control and optimization, working in the industry in China, ...
1
vote
4answers
390 views

Proof that the number of trades done (successfully) matters for whether or not a strategy was lucky

Me and a friend is trying to settle and argument in relation to the following quote by Nassim Nicholas Taleb: I don’t want to spend too much time on Buffett. George Soros has 2 million times more ...
1
vote
3answers
290 views

Why is the CAPM securities market line straight?

Let $\gamma$ be the expected return, in terms of its exponential growth rate, of the market asset. If we set $\gamma=\mu-\sigma^2/2$ as explained by the Doléans-Dade exponential, then the expected ...
2
votes
1answer
485 views

Where can I find corporate bond spreads?

I am trying to price a 30 yr bond maturing in December 15, 2035. The bond is rated A- (S&P). Where can I find the spreads for corporate bonds rated A- maturing in 23 years (December 2035)? I ...
3
votes
0answers
178 views

Measuring unbiased estimator for variance with RMSE?

The root mean squared error (RMSE) is considered by some to be the best measure of how good a variance estimate is. You often see it quoted as: $RMSE=\sqrt{\frac{1}{n}\sum_{i=1}^n(\hat{\sigma_i} - ...
3
votes
0answers
186 views

Optimal Position Size with Transaction Costs given Forecast Mean and StDev

I have rather a challenging question. I'm hoping that someone can share their experience. I will build up the problem in steps. Let's start our thinking with the idea of a buy and hold strategy of ...
2
votes
0answers
103 views

Combining Mulitple Forecasts? Budged Constraints?

I'm hoping that someone can lend a hand. I have been reading various papers on how to combine multiple forecast time series. The main paper is Granger and Bates 1969. The suggestion here is that there ...
4
votes
2answers
731 views

Cointegration trading: Ignoring pairs that aren't economically related

Cointegration trading question What's the state of the art when it comes to choosing proper subsets of stocks/assets where cointegrating relationships aren't ignored as (likely to be) spurious? For ...
6
votes
1answer
708 views

About Option Adjusted Spread, rate curves and bonds comparison

I have few questions about using OAS as a measure of risk: does OAS allow for comparison between bonds with and without embedded options (e.g. a callable bond against a plain vanilla one against a ...
2
votes
1answer
545 views

Is it possible to derive the “risk tolerance” from the portfolio efficient frontier?

I am trying to solve the Portfolio Optimization Problem using a "Multi-objective Evolutionary Algorithm". After obtaining the efficient frontier, I would like to know if we can infer for each point of ...
2
votes
1answer
177 views

How to group mutual funds by volatility?

I want to group Mutual Funds by their volatility. Ideally, I would like to end up with the mutual funds beings attached to different groups: High volatility Medium volatility Low Volatility My ...
1
vote
1answer
116 views

Exposition of Growth in a Perpetuity

Something that's bugged me since I've ever learned anything about finance: Philosophically(?) speaking, why does growth subtract from a perpetuity's return? I know the mathematical explanation, but ...
11
votes
5answers
6k views

How do you explain the volatility smile in the Black-Scholes framework?

Does anyone have an explanation for the currently naturally forming volatility smile (and the variations) in the market?
6
votes
2answers
798 views

Version of Girsanov theorem with changing volatility

Is there a version of Girsanov theorem when the volatility is changing? For example Girsanov theorem states that Radon Nikodym (RN) derivative for a stochastic equation is used to transform the ...
2
votes
1answer
2k views

Hurst Exponent Calculation

I am trying to calculate the Hurst Exponent using Excel. I am facing a problem where the exponent value sometime goes beyond 1. Can someone share a link / material so that it will help me to calculate ...
3
votes
1answer
289 views

Rank Correlation Based Prediction

Are there any methods of prediction (machine learning, regression, etc.) which are designed to maximize the rank correlation (spearman correlation, kendall's tau, etc.) of your prediction with your ...
0
votes
1answer
433 views

Why is delta-hedging of ATM options near expiry difficult to do? [closed]

Can someone explain to me why the delta-hedging of ATM options near expiry is difficult?
1
vote
1answer
324 views

Why does $\hat{\epsilon}'\hat{\epsilon}$ of a factor model measure risk?

$\hat{\epsilon}'\hat{\epsilon}$ from the market model: $R_{it} - \hat{\alpha} - \hat{\beta}R_{mt} = \hat{\epsilon}$, or from a factor model such as the Fama-French 3 factor model, is often used in the ...
1
vote
1answer
122 views

Do taking in account the CSA create convexity effects in your stripping?

When you strip your rate curves using CSA, what kind of convexity effects might appear as a result when computing the CSAed curve from one fixing to another ? For example if you are valuing an USD ...
-4
votes
1answer
631 views

Show that convexity of call price as a function of the strike is violated [closed]

European call options with strikes 90, 100 and 110 on the same underlying asset and with the same maturity are trading for 22.50, 18.84 and 13.97 respectively. show that the convexity of the call ...
4
votes
1answer
1k views

How do I evaluate the suitability of a GARCH model?

Suppose I downloaded the closing price of a company, say Google or whatever, I want to use GARCH model to model and forecast the volatility of the return. To simplify, I only have two questions. ...
5
votes
1answer
613 views

Trade execution in HFT - role of quants

What is the role of quants in trade execution in high frequency trading? AFAIR in "normal" trading trade execution is considered a very mundane task. What role can quantitative modelling play in trade ...
3
votes
3answers
659 views

Generate tick data from candlestick

Is there software (or Python / R / ... scripts) to generate (pseudo) tick data from candlestick data. I have candlestick data (CSV format) from monthly timeframe (MN) to minute timeframe (M1) but ...
5
votes
2answers
657 views

How do you synthesize a probability density function (pdf) from equally weighted price data?

What I'm working with: I have a collection of prices that has very few to no repeating values (depending on the look back period) ie each price value is unique, some prices are clustered and some can ...
3
votes
0answers
77 views

Individual/casual investors and the bias towards blue-chip stocks?

There's quite a bit of research (example, [1]) teasing out the fact that home/casual/individual investors prefer stocks with large positive skewness. It surprised me, as I was reading a bunch of these ...
1
vote
1answer
144 views

Expected length and depth of drawdown

Does anyone know of any model to estimate the distribution of drawdown length and depth assuming a certain portfolio dynamics? The arcsine law seems to suggest that a portfolio can spend a large ...

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