# All Questions

77 views

### Correlating random numbers seems to skew the data

First off, apologies for the cross-post from mathematics, but I found this site later and think it would be a better fit for the question (besides, there has been no comments/answers on mathematics ...
176 views

### How to projectP&L or drawdowns on pair trading , trading and portfolios? [closed]

This is for planning and risk management. I am stuck on the following thoughts - Back-test the trading strategy for a period similar to the one you expect and then project. Do the above using ...
64 views

### Is there any relationship between investment return of a stock, for individual year (Yearly return) and multiple years (Overall annualized return)

currently, I'm calculating the return of a stock, for individual year and multiple years. I tend to answer the following question. Return of a stock for end of year 2010 (Individual year) Return of ...
2k views

### What are the implication of a negative risk-free rate on SML?

What happens to the Security market line (within the CAPM model) when the risk-free rate turns negative?
69 views

### robust regions in grid search

I have a strategy f that takes parameters x,y (for x,y taking values in integer ranges). I get two grids (of returns and volatility values) from computing f(xi,yi) for integer ranges x1 <= xi <= ...
92 views

### How to convert HJM model risk-neutral measure $\mathbb{Q}$ to real measure $\mathbb{P}$?

HJM model, $df(t,T) = \mu(t,T) dt + \xi (t, T)dW(t)$, is defined in risk-neutral measure $\mathbb{Q}$, according to Brigo's "Interest Rate Models" book. I wonder, how could I transform it to real ...
51 views

### Isn't a perfect economic system always in debt? [closed]

Let's say in a simple world, we have 3 persons, a banker, a businessman and a worker. Then we apply the current monetary system in this economy. So for the system to get started, we need a banker to ...
103 views

### Valuing a warrant on a warrant

How would you go about valuing a European warrant that entitles you to a) 1 share of a company and 2) 1 warrant on that same company?
174 views

### 2 stocks, no shorting vs shorting. (concrete questions, mean-variance)

I'd appreciate help with the following questions. Suppose there are two stocks $A$ and $B$ with expected returns $E_A, E_B >0$ and volatilities $v_A, v_B >0$, respectively . Also, suppose ...
410 views

### The Definition(s) of Momentum

I am currently studying the Momentum strategy and its differences in results (returns) when we change the formula describing momentum. There are indeed no accurate formulas for implementing the ...
23 views

### Commodity prices on Yahoo finance [duplicate]

I tried looking for some decent way to get stock data for general commodities. I went looking on Yahoo Finance and found https://nz.finance.yahoo.com/q?p=finance.yahoo.com&s=GCN14.CMX. But this ...
122 views

### Shorting 'pump and dumps' legal?

Ive seen my junk inbox overflowing recently with a few stocks being pushed extremely heavily via unsolicited emails from a variety of 'firms', my guess is that these are done by the same individual / ...
227 views

### Non-linear Dynamical Systems and Quantitave Finance

The vast majority of what I have read about quantitave finance is to do with option pricing and time series analysis for forecasting. However the economy as a whole behaves as a dynamic system with ...
73 views

### Calculate rate of return of a stock, if there is a buy transaction occurs during the middle of financial year

Currently, I'm implementing a feature of an open source project (https://github.com/yccheok/jstock/issues/7), which requires me to calculate the rate of return of a stock. Let's take the following ...
162 views

### Divergence between binomial pricing and monte carlo simulation for vanilla european call?

I notice a divergence in my own code, but it's evident even in public code: http://www.thalesians.com/finance/index.php/Knowledge_Base/Finance/Option_Pricing_in_Python_and_Simple_English Pricing a ...
84 views

### Math basics of Equally-weighted Risk contributions

i'm writing my BA Thesis about "Equally-weighted Risk contributions". Can anyone recommend math books for further understanding of Risk contributions?
237 views

### Transaction Costs for Currency Pairs

I have been aggregating some tick data from Oanda's streaming API to try and get an idea of the relative cost and best time to trade different currency pairs. The idea was to plot the spread of the ...
330 views

### What is the intuition behind the fact that Modified duration = Macaulay Duration / (1+r)?

I understand the derivation of both:take dP/dR and divide by P which will give you both 1) modified duration OR 2) macaulay duration / (1+r) (notice the weighted average time built into the ...
159 views

### Does a delta hedged short option guarantee profit of extrinsic value at expiration?

If a trader shorts an option and dynamically delta hedges to ensure the delta is equal to 0 if that option expires out of the money does the trader profit that options extrinsic value at the time of ...
184 views

### Trading days or Calendar days for Compound Annual Growth Rate?

When calculating CAGR for intervals shorter than a year (or intervals that are longer than, but not integer years in length), should you use the 252 trading days or the 365.25 calendar days? The ...
95 views

### Ability of hedge funds to transform illiquid assets

In this discussion of a Citi paper, on the impact of collateral management and rising financing costs for hedge funds, there is a quote from Sandy Kaul's statement: Sandy Kaul, head of business ...
176 views

### Which is the correct definition of arbitrage?

Spin-off from here. In Tomas Bjork's Arbitrage Theory in Continuous Time (or here), $\exists$ 2 inconsistent definitions of arbitrage, which is correct? The first definition is for the single period ...
285 views

### Forward rates formulae

I am now working with forward rates and have somehow been asked to use an "intuitive" formula for forward rates. $$\frac{F(0,s,T)}{F(0,t,T)} = \frac{F(s,s,T)}{F(s,t,T)}$$ I can understand the ...
122 views

### Inconsistent Definition of Arbitrage in Bjork?

In Tomas Bjork's Arbitrage Theory in Continuous Time (or here), $\exists$ what seems to be 2 inconsistent definitions of arbitrage: The first definition is for the single period Binomial model The ...
197 views

### Getting the next price of a GBM with reversion

Here is the "twin" question of Getting the next price of a GBM (Geometric Brownian Motion) but for GBM with reversion As in that case, I'd like to write a formula for the next price, as function of: ...
208 views

### Getting the next price of a GBM (Geometric Brownian Motion)

I am writing a program that creates realizations of a GBM. Starting from an initial price, I get the following price with this formula: ...
213 views

117 views

### Counterparty risk tutorials

I want to learn about the latest methods used to measure credit risk, which I believe is same as counterparty risk. Can you please direct me some links for this. I have come across a few of them but ...
92 views

### How To Account For Inflation Over Historical Data

I believe inflation is greatly affecting my sample data, even when using percent-changes for movements. I have read this post, which recommends the formula ((Current-Base Year CPI) * Price) / ...
478 views

### Kelly Capital Growth Investment Strategy (Example in R)

In the paper Response to Paul A Samuelson letters and papers onthe Kelly Capital Growth Investment Strategy pages 5 and 6 Dr William T Ziemba, gives a praticle example on Kelly Growth. I’m trying to ...
278 views

### How Much Capital is Needed to Start an Arbitrage Strategy?

I'm trying to experiment with a simulated simple arbitrage strategy. I'm not doing this to actually invest, I'm just curious if the market is inefficient enough for this to be feasible. Every ...
186 views

### Using Fourier Transforms for stock option pricing with stochastic interest rates

Can Fourier transforms be used to derive the joint probability density function of stochastic interest rates and stock price Brownian motions of call options under stochastic interest rates? So lets ...
366 views

### Implementing A 50/50 Prediction Model Strategy

Reworded the question for clarity (see edits for original post): How can one knowingly foresee where a 50/50 prediction model will be profitable? For previous posts: I understand that if I have a ...
93 views

### Joint distribution from expectations

Given two random variables $X$ and $Y$ and let $K$ be a constant value. Assume the expectation $\mathbb{E}[X(Y-K)^{+}]$ is given for all possible values of $K\geq 0$. Is there a way to derive the ...
1k views

### How to distinguish total return and absolute return funds in the KIID

I hope this question is on-topic. It is not relally a quant question but it is a question that quants in risk management in asset management firms have to answer: In the KIID (key investor ...
185 views

### Plot Evolution of portfolio weights over time in R [closed]

Is there any function for plotting the evolution of portfolio weights over time in r?. I have a matrix of portfolio weights from an equal weighting strategy at rebalancing times and want to plot ...
350 views

### What are the unfair order execution/routing advantages HFT firms apparently have?

I originally thought that you have an orderbook per stock and orders would be filled on the time at which they arrive. Arrive first and you get the best price and the qty in the orderbook is reduced ...
112 views

### For Probability of Default in retail credit what is more popular logistic regression or GLM with Poisson distribution and why?

Trying to understand which regression model is more popular in retail credit card industry Logistic regression or GLM with Poisson distribution and why?
116 views

### What is the correlation of and Index's dividend yield relative to its constituents?

I would like to know if the dividend yield of and index is correlated with the dividend yields of it's components separately? The purpose of this, is to use the dividend yield of the index as a proxy ...
89 views

### Combining BHHH and Levenberg Marquardt

I already asked a question related to this here: How to apply Levenberg Marquardt to Max Likelihood Estimation I know understand how Levenberg Marquardt (LM) can be applied to the objective ...
86 views

### Future spot price versus current forward price

Which are the two conditions necessary to claim that the future spot price will have as many chances to be above or below the current forward price?
34 views

### Common point between IR and Vol option pricing models?

What is the common point between pricing models on options on Interest Rates and options on Volatility?
### How do I prove that $\lim_{K\searrow0}\frac{P(K,T)}{K} = \mathbb P(S_T=0)$?
I am trying to prove that $$\lim_{K\searrow0}\frac{P(K,T)}{K} = \mathbb P(S_T=0)$$ where $P(K,T)$ denotes the put option price with maturity $T$ and strike $K$ for some stock $S$. Assuming interest ...