All Questions

0
votes
0answers
8 views

What is the basis for the ansatz here?

I'm reposting this question: Jim Gatheral's ansatz I have the same question, but the answer given in the comment is no longer applicable since the link does not work.
2
votes
2answers
9k views

Duration of a floating rate note

I have the following C# code for calculating the modified duration of fixed coupon bonds: ...
0
votes
0answers
15 views

Option Prices on Thomson Reuters Eikon Database

I would like to get hist. option prices from Eikon. I am not looking for the entire option chain and I was wondering if Eikon offers average data/prices. Average European call and put option prices ...
0
votes
0answers
31 views

Zero rate computation in Quantlib

I am trying following code, zerorates which is received is different than I expect. Can someone suggest where am I going wrong? ...
0
votes
0answers
20 views

Why doesn't tenor of Euribor index change spot rate in Quantlib?

I'm trying to create a yield curve in QuantLib based on swap rates. The swap rates I'm using have a 6 months fixed frequency and a 3 month float frequency based on LIBOR. What I don't understand is ...
1
vote
0answers
25 views

Pricing structured products (Mortgage Backed Securities)

What would someone have to do to be able to price a structured product like Mortgage/Asset Backed Securities?
0
votes
1answer
32 views

How to add annualized quarterly returns?

I have four quarterly returns that have all been annualized. How do I calculate the annualized return for the year from these values? Or do I need to back into them to get the holding period returns
0
votes
0answers
34 views

Yield Curve Flattening Trade

Relatively simple question, but came upon it in class and have not been able to come up with an answer: The two-year bond yield is equal to 4% while the 10-year one is equal to 10%. You want to put ...
0
votes
0answers
40 views

Practical Skew Model For Equity Options?

I'm looking for a simple model I can use to calibrate equity implied volatility surface. There are several models published in the literature, and most of them seem far too sophisticated for my ...
1
vote
0answers
51 views

transactions costs and leland modified volatility

When there are transactions costs, we are in a situation of incomplete market. What does the modified volatility of Leland (Option Pricing and Replication with Transactions Costs, 1985) bring us? can ...
1
vote
1answer
55 views

Fixed Income Portfolio Optimization

I'm trying to solve for a maximum sharpe ratio portfolio in the fixed income space. To do so, i use CVXPY in python. I use this Paper as reference. This is my "setup": ...
2
votes
1answer
539 views

Are there any software libraries for backtesting FX algorithms against tick data?

I've read question, however it doesn't appear as if any of those libraries work for FX data. A Google search for python forex backtesting turns up this project, ...
26
votes
4answers
4k views

Is there any theoretical basis for pattern-recognition strategies?

Mean-reversion and trend-following strategies have some kind of a theory behind them that explains why they might work, if implemented well. Pattern-recognition, on the other hand, seems like nothing ...
4
votes
1answer
80 views

How frequently is local volatility calibrated to implied vol surface, in practice?

This has two related questions - How frequently do equity derivative traders re-mark the implied volatility surface - (i) once a day (e.g. at start of trading day, or end-of-day), or (ii) ...
5
votes
3answers
4k views

What mathematical theory is required for high frequency trading?

I am an applied math postdoc and I have been presented with the option of leaving academia to work in high frequency trading. I wanted to get a feel for the field and the theory underlying it so I ...
0
votes
0answers
32 views

Dependence modelling in Finance

we have copula as a function of cdf of random variables to describe how they are related to each other. I have one question in my mind that, how can we generate a new copula function?
0
votes
2answers
109 views

Is there an inverse relationship between (future-spot) price and yield?

If the difference between futures and spot prices rises will the yield for the current bond increase as well?
1
vote
1answer
43 views

American Put Option Pricing

I am trying to solve a question of American Put Option pricing as below. Build a 15-period binomial model whose parameters should be calibrated to a Black-Scholes geometric Brownian motion model with:...
3
votes
1answer
87 views

What is the easiest way to learn Option pricing with PDE?

I was reading about Ito's formula and Girsanov theorem, but I am still struggling to grasp how in reality these are combined to compute the price of an option. What are the main source to understand ...
1
vote
0answers
43 views

How would one go about pricing a FX future?

What model/equations would I require to calculate the price for a foreign exchange future? This is in an attempt to mitigate foreign exchange risk. Also, how could one measure a business's exposure to ...
1
vote
1answer
72 views

Understanding the ZABR model (an extension of SABR)

http://janroman.dhis.org/finance/SABR/ZABR%20Andreasen.pdf In this acticle the SABR model is first presented in another form ( see equation 7 in the article ) and then extended to the so called ZABR ...
0
votes
0answers
24 views

high quality daily data [duplicate]

I am analysing some trading strategies, so lots of high quality data is needed. I have been using yahoo finance which provides a lot of high quality daily data on stocks and indices. Currently I am ...
2
votes
2answers
246 views

What are some examples of non-solvable SDE where Monte Carlo discretization is necessary

Reading Glasserman - "Monte Carlo Methods in Finance" it says in the introduction to Chapter 6 - Discretization Methods, that moste models arising in derivatives pricing can be simulated only ...
1
vote
0answers
33 views

Hull White Equation Derivation

Hello I need your help. I found the formula for deriving $A(t,T)$ and $B(t,T)$ in Hull White paper is like this $BB_{tT} - B_{t}B_{T} - B_{T} = 0$ and $ABA_{tT} - BA_{t}A_{T} - AA_{t}B_{T} + \frac{1}...
-4
votes
0answers
53 views

What does this formula in Jim Gatheral's book mean?

From Jim Gatheral's "The Volatility Surface", on page 11 he introduces a formula (formula (1.7) at the bottom). Is he talking about the "future value of the option"? I do not understand the "future ...
8
votes
1answer
240 views

Heston model reparametrisation

It is well-known that calibrating Heston to the vanilla market is not as easy as it seems: some parameters are "interdependent" and the objective function exhibit plateaus in the parameter space (at ...
1
vote
0answers
29 views

Proof standard Brownian Motion under change of measure

Let's split the usual time horizon $[0,T]$ like $0=T_{0}<T_{1}<\dots<T_{n}=T$ and consider the bond price $P(t,T_{i})$ for $i=1,...,n$. We assume $$\frac{dP(t,T_{i})}{P(t,_{i})}=r_{t}dt+\xi_{...
0
votes
1answer
17 views

BHAR Event Study - Index

I want to perform a BHAR event study. For that, I subtract the compounded returns of a benchmark portfolio from the respective stock. Is my assumption right, that I can simply take any underlying ...
0
votes
1answer
38 views

Getting sets of random correlated variables

For the training of a machine learning model I need to add additional features (macro variables), and these features are correlated. I need to run the model N times adding these features with random ...
3
votes
0answers
28 views

Annualization of higher order Co-moments

I'm developing a dynamic portfolio optimization procedure based on the implementation of the Modified sharpe ratio. The mentioned ratio depends, among other factors, on the skewness and kurtosis of ...
0
votes
0answers
31 views

Realized volatility transformation [on hold]

After calculating the realized volatility as $log\Big(\sqrt{\sigma_R^2}\Big)$ and forecasting some datas as $log\Big(\sqrt{\sigma_R^2}\Big)$, how can we get back to the $\sqrt{\sigma_R^2}$ ? it's ...
0
votes
0answers
26 views

Going from normal to Log-normal implied volatility

Let's denote the Implied normal volatility (Bachelier) as $\bar{v}$, and the implied log-normal (Black Scholes) as $v$. When everything else is known (spot, strike, maturity, rates etc) how can you ...
1
vote
1answer
52 views

Why do Factor Models set up their factors differently from regression?

While this may be awkwardly-titled, I hope that my question becomes clearer upon reading. So this is what I gather about Factor Models: they are statistical models set up to explain the returns, ${...
2
votes
1answer
57 views

what are the underlying transactions for SOFR?

Recently I am reading about SOFR (Secured Overnight Financing Rate), which is projected to replace LIBOR to be the reference for risk-free rate in the market. But I still don't understand or imagine ...
8
votes
1answer
501 views

Transforming 3M volatilities into 6M volatilities in EUR forecast curves

I have implemented a stripping algorithm to extract forward volatilities from cap/floor flat volatilities for different currencies. I am however struggling a bit when implementing a method to convert ...
2
votes
2answers
40 views

How to calculate necessary gain to compensate a loss in a financial transaction?

(Feel free to suggest the correct Stackexchange community - or otherwise - if this is not the correct one) When trading financial markets, a gain of x%, won't ...
3
votes
2answers
3k views

Pricing a fixed rate bond in Quantlib Python

I'm trying to implement a pricing model for fixed rate bonds with the code below. ...
1
vote
1answer
40 views

Why is the volatility of an Ito process not the square root of its variance?

The volatility $\sigma$ of an Ito process $dS_t = r S_t dt + \sigma S_t dW_t$ is not the square root of its variance. But you often hear that "volatility = standard deviation". What's going on here?...
1
vote
1answer
34 views

Why the variance of a process is $\left( \frac{dS_T^2}{dt}\right)^2$?

Consider an Ito process $dS_t = f(t,S_t) dt + g(t,S_t)dW_t $ What is the reason that we can compute the variance as: $\sqrt{VaR(S_t)} = \frac{(dS_t)^2}{dt}$
1
vote
1answer
39 views

Rationale for likelihood function parameter choice in Black-Litterman model?

So we are interested in a PDF for equilibrium returns given the views. Why do we choose our view means as the mean parameter and observed market covariance as the covariance parameter? Seems a bit ...
1
vote
1answer
85 views

Are questions in Joshi's book really asked at Quant interviews?

I am reading some questions in Joshi's book on Quant Job Interview Questions, and am perplexed at some of the questions in the book. Some of them are extremely easy (like, "explain the Black Scholes ...
1
vote
0answers
15 views

How is hypothesis testing work in population sampiling?

I am learning the basics of quant trading from quantconnect's tutorial Confidence Interval and Hypothesis Testing. I understood the first part of the article but I dont understand "Hypothesis Testing"...
1
vote
1answer
165 views

A volatility model developed by JP Morgan

I am quite confused with this predicting volatility equation: σ2t = βσ2t-1 + (1-β)ε2t Here is a section from Capital Market Expectations: CFA Level 3 Volume 3 Curriculum (page 27) https://ibb.co/...
3
votes
1answer
65 views

Estimating a Yield Curve in a country without Bond Stripping

I am currently working under estimating a Yield Curve. From my understanding common procedures to construct a yield Curve like Nelson Siegel have the input of a series of different zero rates and ...
3
votes
1answer
184 views

Mixing Black Scholes with SABR

I am new to the whole concept of stochastic volatility so I am experimenting with option pricing. I think the concept is really difficult to understand / grasp. I was wondering if the following ...
7
votes
3answers
2k views

Forward implied volatility

Can one price accurately by only using vanilla options a derivative that is exposed/sensitive mainly to the forward volatility ? If it is impossible, why do we hear sometimes "being long a long ...
3
votes
1answer
37 views

How to prove martingality of forward rate under T-forward measure

Let $P(t,T)=\mathbb{E}_{Q_{R}}[e^{\int^{T}_{t}r(u)du}|\mathcal{F}_{t}]$ be the price of a 1-euro zero-coupon bond with maturity $T$ and $r(u)$ the interest rate process. Consider the the forward rate $...
95
votes
17answers
17k views

Video lectures and presentations on quantitative finance

What are your favourite video lectures, presentations and talks available online? A few rules: Must be related to quantitative finance. No Economics 101 courses, please. Try to avoid DIY lectures ...
1
vote
0answers
18 views

Does EFP (Exchange Futures for Physical) Involves Cash Exchange?

I am new to the concept of Exchange Futures for Physical (EFP). According to some sources (link), An Exchange for Physical (EFP) is a transaction involving the simultaneous exchange between two ...
3
votes
1answer
58 views

How to comprehend this notation?

I learned mathematical finance from Bjork's Arbitrage Theory in Continous Time, and never once did I encounter the "quadratic variation"-thingy with the angle brackets. So now that I am reading ...

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