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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 (...
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0answers
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 "...
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1answer
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 $Z(t)=exp\{-\theta B(t)-\dfrac{1}{2}\theta^2t\}$...
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0answers
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 ...
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0answers
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 ...
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0answers
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 ...
1
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1answer
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.....
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1answer
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? ...
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1answer
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 ...
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0answers
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),...
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0answers
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?
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1answer
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
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1answer
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!
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1answer
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 ...
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0answers
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 ...
1
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1answer
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 ...
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0answers
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 ...
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0answers
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 ...
2
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0answers
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 ...
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0answers
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 ...
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0answers
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 ...
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0answers
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 $\beta_{M}=0.8$, $\beta_{SMB}=0.4$,...
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2answers
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 ...
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0answers
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 ...
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2answers
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 ...
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0answers
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, ...
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0answers
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. ...
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2answers
87 views

Implied volatility is returning infinity

I am trying to calculate implied volatility using javascript , I have following code ...
0
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1answer
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
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1answer
73 views

Simulation Heston Model, markovianity

I am trying to simulate the instanteneous volatility of a Heston process. My equations are the following : wealth process: $$dX_t = r_t X_t + \theta \sqrt {V_t} u_t dt + u_t dW_{1t}$$ Volatility: $$...
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0answers
18 views

Is callable bond pricing available in Quantlib XL?

I am able to find documentation for pricing callable bonds in Quantlib Python or C++, however, I am struggling to locate it for Quantlib XL. Is there a way to price callable fixed-rate bonds in ...
1
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1answer
59 views

Covariance of logarithms of geometric Brownian motion

Suppose I have a Geometric Brownian Motion process, $$dX_t=\mu X_t dt + \sigma X_t dW_t$$ I'd like to find the covariance of $\log(X_t)$ and $\log(X_s)$ where $s<t$. We can write $\log(X_t)$ in ...
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0answers
36 views

St. Petersburg Paradox [closed]

I am currently trying to solve the St. Petersburg paradox from the lecture notes, but somethings bugs, me. Bernoulli shows that we can solve it using marginal utility theory. This is how it is derived:...
0
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0answers
53 views

Exercise: does Ito integral of a simple stochastic process have normally distributed increments?

I am trying to solve the following problem (exercise 4.3 from Shreve's Stochastic Calculus for Finance, Vol. 2, my adaptation): Let $W(t)$, $0\le t\le T$ be a Brownian motion, and $\mathcal{F}(t)$ ...
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1answer
71 views

Constructing an arbitrage opportunity for a company involving Forwards

Let's say an investor enters a long forward contract on 100 units of underlying assets $S$ and maturity $T$ = 4 years. The asset $S$ pays no dividends and the spot price of one asset is $S_0$ = £5. ...
0
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1answer
71 views

Calculate duration of zero coupon bond

I am currently studying interest rate risk management, and i can't seem to get the derivation right, and I would like to do all of the steps, to be sure that I understand what is going on. Let Pz (t, ...
0
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0answers
43 views

Measure how cheap is the Gold? [closed]

It's possible to measure how cheap stocks are, because we can compare asset price to its output. $$Rate = {Revenue \space \over Capitalisation}$$ And then at any given moment we know how cheap ...
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0answers
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 ...
4
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1answer
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 ...
0
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0answers
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), ...
5
votes
1answer
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"....
0
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0answers
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 ...
0
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0answers
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 ...
3
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1answer
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: ...
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0answers
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 ...
1
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1answer
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 ...
1
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1answer
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 ...
0
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1answer
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 ...
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0answers
61 views

How to get started with Quant Analysis/Algo Trading? [closed]

I’ve been a crypto trader for about a year, using mainly technical and fundamental analysis to trade. I want to start spending some time learning how to perform quantitative analysis and perhaps build ...
0
votes
1answer
79 views

Bloomberg: fetching returns based on identifiers

I have a list of about 8000 global companies identified using SEDOL identifiers and tickers (for whatever exchanges the companies are listed). I need to retrieve data about these for a regression, ...

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