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Category: Quantitative Analysis

Hypothesis Testing: Null vs Alternate Hypothesis

In this video from FRM Part 1 Quantitative Analysis section, we construct an appropriate null hypothesis and alternative hypothesis and distinguish between the two.
Posted On: April 1, 2020

Wold’s Representation Theorem

In this short video from FRM Part 1 curriculum, we try and understand the Wold’s Representation Theorem for representing a zero mean covariance stationary series.
Posted On: September 4, 2018

GARCH(1,1): Parameters from Maximum Likelihood Estimation

In this short video from FRM Part 1 curriculum, we look at estimating parameters of the GARCH(1,1) model using Maximum Likelihood Estimation (MLE).
Posted On: August 21, 2018

GARCH(1,1): A First (and Closer) Look

In this short video from FRM Part 1 curriculum, we take a first (and close) look at the Generalised Autoregressive Conditional Heteroskedasticity (GARCH) model.
Posted On: August 20, 2018

Conditional Expectation: A different kind of expectation

In this short video, we cover the concept of conditional expectation, a concept that is relevant to both FRM Part 1 and FRM Part 2, notably with regards to Expected Shortfall.
Posted On: August 9, 2018

The Inverse Transform Method

In this short video from FRM Part 1 curriculum, we take a look at the inverse Transform Method used for repeatedly sampling or simulating a random variable that is stated to follow a certain (given) distribution.
Posted On: August 5, 2018

Autocorrelations vs Partial Autocorrelations

In this short video from FRM Part 1, we go deeper into the concept of Partial Autocorrelations – explore what they mean, how they’re different from autocorrelations and how they’re estimated.
Posted On: August 3, 2018

Distribution of Sum of Two Uniformly Distributed Variables

In this short video, we apply various concepts we learned from chapters in Quantitative Analysis section of FRM Part 1, to answer this question: What is the distribution of the sum of two random variables, each of which follows the uniform distribution?
Posted On: July 3, 2018

Distribution of Payoffs of Simple Options

In this short video, we explore the distribution of option payoffs for simple options like calls and puts and for contracts like forwards, given the distribution of the driver of their payoffs – the stock price.
Posted On: December 12, 2017

The Lognormal Distribution (FRM Part 1)

In this swatch, we spend some time exploring a very important distribution in option pricing – the lognormal distribution.
Posted On: December 11, 2017
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