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Finance Archive

Finance Lab

A formula is not a fact. It is a decision.

Each experiment walks the same six stages: read the formula, understand what it claims, manipulate the variables, observe the sensitivity, solve for a target, then apply it to a decision.

Investments

Bond duration and interest-rate risk

dP/P ~ -Modified duration x dy + 1/2 x Convexity x dy^2

Price tells you what a bond is worth today. Duration tells you how much that price moves when yields change, and convexity corrects the estimate for larger moves.

What each symbol means

Face value
Amount repaid at maturity.
Coupon rate
Annual coupon as a share of face value.
Years to maturity
Time until the face value is repaid.
Yield to maturity
Return the market demands.
Yield change
Shock to test, in percentage points.