# All Questions

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### Intuition for consistent Derivative Prices under different Numeraires and Measures

This is essentially the Fundamental Theorem, however I am not asking for a thorough proof, I am more interested in the general intuition. In words, it makes sense that whatever your unit of account (...
8 views

### GoogleFinance often returns #N/A and internal error messages while getting stock quotes

Anyone know workarounds to make GoogleFinance actually work? It works for a while so it is not a problem with my formulas but then periodically the cells that were showing stock quotes suddenly show "...
45 views

### Steven Shreve: Stochastic Calculus and Finance

The lecture notes have the following theorem: Let $\theta\in \mathbb{R}$ be given and $B(t)$ stands for the Brownian motion which is a martingale, then $Z(t)=exp\{-\theta B(t)-\dfrac{1}{2}\theta^2t\}$...
15 views

### Hedging Strategy for European Call Option (Single period Binomial Model)

I am hoping to gain some insight to an exercise from my undergraduate Mathematics of Finance class. (This is my first course ever in finance, so bear with me.) The exercise is: Consider a single ...
22 views

### How can I approximate Dollar Bars from Minute Data instead of Tick Data?

Having been influenced by de Prado's Advances in Machine learning book, I've set out to build the dollar bars (in which each bar represents a set dollar amount of transactions in the security) that he ...
13 views

### Fixes of quadratic utility when probability of decreasing utility is large

In finance and specifically portfolio theory, a popular utility function is quadratic utility $$u(x)=x-\frac{\lambda}{2}(x-\mu_x)^2$$ where $x$ is wealth and $\lambda$ is the parameter of risk ...
39 views

### Eonia swap calculation of floating rate

I'm new to swaps, I've a question about how to calculate the floating rate of an EONIA Swap from market quotation, so that we can keep an eye on the evaluation of our contract Market Value, DV01, etc.....
45 views

### Why do I get this difference when simulating geometric Brownian motion?

I tried simulating GBM using both the SDE definition and the closed form solution. The paths I get through these methods are very different. Can someone help me figure my mistake? ...
32 views

### How to calculate Money-weighted Rate of Return when there are multiple negative cash flows during investment period?

I know that when there are multiple changes of sign in the sequence of cash flows of a project, the project may have multiple IRR, which render this criterion impractical. Therefore, in such ...
13 views

### What is the formula that considers periodic (week/fortnightly/monthly) repayments

I am writing some code that can take in variables such as loan amount,payment freq (weekly, fortnightly, monthly),...
28 views

### Information asymmetry models

I am searching for some textbook in financial mathematics that presents information asymmetry models (maybe more advanced models), so as to make some practice. Does anbody know such a book?
72 views

### What is the SDE of this equation? [closed]

I am new and struggling to understand how to solve this using Ito lemma. Can someone please explain it to me: $$dS_t=-\frac{1}{2}\sigma^2 S_t dW_t$$ what is the solution with explanation please
62 views

### Why are some currency pairs more volatile than others?

Why for example GBP/JPY is twice volatile as USD/JPY ? ... and many more cases involving other major forex pairs here: full list. thanks in advance!
97 views

### Question on Realized Vol vs Implied Vol

I have heard the following argument- barring transaction fees, if my estimation of future realized vol is 30% and 1-month ATM implied vol is 20%, then I could potentially buy a 1-month ATM call/put ...
33 views

### Help with R normalization function [closed]

after reading the paper "Custom v. standardized risk models" (Kakushadze, Zura; Liew, Jim Kyung-Soo (2015)) I tried to understand the R functions they provided at the end (eg: Appendix A) and the very ...
69 views

### To use daily volatility or annual volatility

From Joshi's Quant Interviews books: The statistics department from our tell you that the stock price has followed a mean reversion process for the last 10 years, with annual volatility 10% and ...
29 views

### Pricing Autocallable Structured Products using Finite Difference Method [closed]

I am trying to price autocallable structured products, with single underlying asset and discrete call dates. I am stuck by the boundary condition when the underlying asset price $S$ hits the call ...
36 views

### Robust Sharpe ratio

The denominator of the Sharpe ratio is sample portfolio volatility, $\sigma_p$, which is the square root of portfolio variance based on the quadratic squared loss, L2. Alternatives for the denominator ...
52 views

### Realistic Modeling of Capacity in Backtesting a trading strategy

Typically the backtest of a quantitative trading strategy assumes a fixed period and fixed capital at the start to backtest a strategy. However, each strategy has a capacity (due to non-linear trading ...
38 views

### How to derive the CAPM from maximizing the Sharpe ratio?

I know how to derive at the CAPM from a microeconomic foundation. In a recent University course I stumbled over a slide that derived the CAPM solely from the Sharpe ratio: I cant come up with that ...
23 views

### Finding stock symbols for alpha vantage api

So i just made my first program in Python wich reads stock symbols in excel. I tried going to "data" in excel and importing a text file with symbols and company names and some other stuff as well but ...
28 views

### Benchmark for fund in Fama French 3 factor setting

I found this question during my preparation for an exam. It looks easy, but I am not quite sure how to answer it. Consider a fund A with following factor exposures $\beta_{M}=0.8$, $\beta_{SMB}=0.4$,...
61 views

### Proof European call price is always less than stock price. (proof verification)

Let $C_K(t,T)$ be the value of a European call with strike $K$ and maturity $T$ on a stock with value $S_t$ at time $t$. Then for all $t\leq T$ we have $$C_K(t,T)\leq S_t.$$ $\textbf{Proof}$: We ...
39 views

### Fama French Question(China) [closed]

I am from china, I can't use USA factors for SMB,HML,WHL....directly from website, my question is how can I calculate these kind of factors? for example, SMB. is it very difficult? any example code ...
63 views

### How and why is there a restriction on short sales?

I'm taking a course on the fundamentals of financial mathematics. This is my first quantitative finance course, so I'm still getting acquainted with a lot of the ideas. We covered the notion of a ...
32 views

### Macro momentum analysis

I am conducting macro momentum analysis. In this, first I rank countries based on each macroeconomic indicator such as GDP, inflation, monetary policy etc. After this according to each indicator rank, ...
23 views

### How to approximate expectation and variance of an integral from a discrete Time series financial dataset?

I have discrete time series financial data, with time($u$), price($S$) and someVariable($q$) which looks something like this. ...
87 views

### Implied volatility is returning infinity

I am trying to calculate implied volatility using javascript , I have following code ...
40 views

### What is Variance of delta of brownian motion [closed]

I am new to this. If variance of Brownian motion b is t, what is the variance of db? db is delta of b
73 views

34 views

### Binomial Model Is Leading to More Expensive Options as Number of Periods Grow

I've coded up a binomial model. It spits out the right numbers that the book I'm currently reading is using for the given inputs. For example, Stock Price 100 Strike Price 100 Number Of Periods 3 ...
89 views

### Markowitz portfolio in reality

I am in academia and begin to work on topics including portfolio optimization. I just read lots of paper discussing different extensions to the Markowitz approach, given different (possibly ...
47 views

### American options & Optimal Stopping Time

From Shreve's book (Stochastic Calculus for Finance II), assuming stock dynamic as standard GBM (without any dividends), the discounted American put price process (which is a super-martingale), ...
131 views

### What is the connection between the risk neutral implied density and the real world density?

I understand that we can use option prices to imply volatilities and ultimately to imply a risk neutral density. I also understand that this implied density is not the same as the "real world density"....
31 views

### Use AM-GM inequality to generalize price process [closed]

Consider the following 2 investing strategies. Strategy $A$ buys $1$ share in every period. Strategy $B$ invests a fixed amount of money in every period. $B$ seems better because for the same ...
20 views

### Forecast dates and related actions

My question is quite general and is about the coherence between forecast horizon, then forecast dates, and related actions. As example we can keep in mind the asset allocation problem. It seems me ...
41 views

### TeaFile discrete logic - how to write

I have been working with TeaFile from discreteLogic and I'm strugling to understand how i can insert data inside a file. Let's take this example: ...
36 views

### Classical Ruin Theory - Lundberg Model

In classical risk/ ruin theory, I see this formula crop up in my notes but my lecturer didn't explain to me why/ when it's employed: $M_X(r) = \int_{-\infty}^{\infty} e^{rx} f(x) dx$ I understand ...
47 views

### Test statistic of event study

Following the event study paper USING DAILY STOCK RETURNS The Case of Event Studies let us suppose that I have daily stock returns for 50 companies from the date 2012-01-01 until 2014-01-01. and I ...
65 views

### Delta Skew Measure as volatility changes

I'm reading Trading Volatility (Colin Bennett) and there's a phrase regarding delta skew measure on p. 208 that I don't quite understand: An example of skew measured by delta is [25 delta put - 25 ...
44 views

### Generate Random Variable Using Acceptance Rejection Method

I have a question about acceptance rejection method and really appreciate your advice: Suppose we want to generate random variable that has probability density function $f(x)$, since we're using ...