Description: The mismatch between how interest rate impacts the value of assets and liabilities could have material negative impact to companies’ earnings and surplus. To quantify and mitigate the impact of such mismatches, companies have used matching a combination of duration and convexity. I will review these measurement techniques and their limitations.

Description: This article will examine four approaches under two different methods (eight in total) used to combat the non-additivity of key rates and will compare them under a number of rate environments.

Description: There will be inflection points in the value of an instrument when interest rates change. These inflection points could materially impact the approximation of value change using ALM metrics. In this part of the seven-part series, I will highlight: • How to identify the inflection points; • the range of rate changes where ALM metrics may be relied upon i.e., the “validity” range, outside of which recalculation of the ALM metrics is required and the potential that one needs to rebalance the portfolio; • a technique to improve on the approximation of value change beyond the validity range; and • a technique to convert non-linear change on the yield curve to be used with duration and convexity.

Description: To address non-parallel movement in the interest rates the concept of key-rate duration was introduced in mid-'80s by Tom Ho. I will define certain key rate metrics, their variation used in the industry, how to calculate them, and an existing industry issue with how they are used. Additionally, I propose a novel technique to calculate key rates to mitigate the problem faced in the industry

Description: To address non-parallel movement in the interest rates the concept of key-rate duration was introduced in mid-'80s by Tom Ho. I will define certain key rate metrics, their variation used in the industry, how to calculate them, and an existing industry issue with how they are used. Additionally, I propose a novel technique to calculate key rates to mitigate the problem faced in the industry

Description: The mismatch between how interest rate impacts the value of assets and liabilities could have material negative impact to companies’ earnings and surplus. To quantify and mitigate the impact of such mismatches, companies have used matching a combination of duration and convexity. I will review these measurement techniques and their limitations.

Description: This article will highlight the issue that the sum of key-rate metrics does not add to metrics derived by parallel shift to the entire curve, even at very low shift size. Additionally, in the article I will outline how to define a single rate change to be applied to a key rate (or the entire curve) since the rate changes are generally not level or parallel.

Description: This article will evaluate two different novel techniques for approximating change in value of a portfolio due to the change in the interest rates that do not rely on the industrywide ALM metrics. These approaches use deterministic runs created to understand the range where ALM metrics could be relied on and one of these techniques could be more superior to the use of key rates for managing one’s portfolio when they are used in approximating value change for a change in interest rate.

Description: Introduces the concept of total risk analysis, a methodology used to answer questions like "what are the chances we will lose more than $1 million"

Description: This article will examine four approaches under two different methods (eight in total) used to combat the non-additivity of key rates and will compare them under a number of rate environments.