# All Questions

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### The Law of One Price in a discrete model

The following question assumes familiarity with the discrete model described in chapter 5 of Steven Roman's "Introduction to the Mathematics of Finance", 2nd edition, Springer 2012. I will not ...
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### forecasting trading costs with end of day data

I am trying to create a model that forecasts trading costs (using end of day data, so no intra day data). My trading cost (also called Implemented Shortfall (IS) is defined as such for a single stock, ...
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### Creating correlated Brownian motions from independent ones

This is the exercise from book "Stochastic Calculate for Finance Volume 2", Page 199. Let $(W_{1}(t),...,W_{d}(t))$ be a d-dimensional Brownian motion. $(\sigma_{ij}(t))_{m\times d}$ be an ...
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### (Re) normalisation of random variable in Monte-Carlo simulations

I have a very simple model (CIR) with a very simple discretisation scheme (Euler) and I use it to do Monte-Carlo Simulations. It is working. Someone insisted that renormalization of my random ...
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### Why aren't there any single owner companies over a billion dollars? [closed]

The biggest companies have multiple owners which dilute the authority and finances of the company. They are either publicly traded companies via selling shares through stock markets, or privatly owned ...
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### Good book about replicating portfolios

I want to know if anybody can suggest me a good textbook which explains in detail and in an understandable way how to create replicating portfolios of financial instruments like options "cash or ...
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### Clarification of Saturation-Reset Regimes

I have worked my way through this article, waiting to get into school I have been self-learning a bit. I have a good grasp on most of the article, but the component strategy of Saturation and Reset ...
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### Calculate CVaR for a portfolio

I would like to calculate the Conditional Value at Risk for a portfolio. To be honest, I'm trying for a few days to find an example to calculate for an entire portfolio, not just for one security and ...
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### Braess's paradox in quantitative finance: When optionality leads to lower value…?

One of the standard tenets of quantitative finance is that options should have an intrinsic value because optionality as such (in the sense of having more choices) should bring about value. This ...
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### Confused on interpretation of betas/alphas in regression in finance

I ran a regression on two stocks. I don't have the data in front of me, but it is a more conceptual question. Let's say SP500 returned a total 23% return over this time period and MSFT returned ...
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### How to differentiate a brownian motion?

By definition a wiener process cannot be differentiated. But when we use Ito's lemma on F = X^2, where X is wiener process we have total change in ...
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### Stock price is a martingale if the riskless interest rate is zero?

I came across a question as such: Suppose company IBC is trading at \$75 per share. What does it cost to construct a derivative security that pays exactly one dollar when IBC hits$100 for the ...
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### Binomial tree vs trinomial tree in pricing options

Very new to pricing models. Is there a general guideline when to use binomial tree and when trinomial tree is preferred? As far as I know, unlike binomial tree, trinomial tree only gives a range ...
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### Transforming Variables in Regression

I have a very simple problem that hopefully someone could help me with or at least point me in the right direction. I am testing to see which factors affect index returns the most and would like to ...
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### use of recurrence quantification analysis for deterministic signal identification and classification

The recurrence quantification analysis (RQA) is a method of nonlinear data analysis which quantifies the number and duration of recurrences of a dynamical system presented by its state space ...