Floating-note margins and money-market quotes

Learning goals

• Explain reset mechanics using mechanisms and limitations.
• Explain margin interpretation using mechanisms and limitations.
• Explain day-count conversion using mechanisms and limitations.

Draft · approximately 35 minutes, excluding further revision.

Reset mechanics

A floating note’s quoted margin is the contractual addition to its reference rate; the discount margin is the market-required margin that reconciles projected cash flows and price.

If required discount margin rises above quoted margin, price can fall below par under otherwise consistent assumptions; floating resets do not reset credit quality.

Margin interpretation

A floater near reset and without restrictive caps often has lower reference-rate duration than a comparable fixed bond, yet retains spread and liquidity exposure.

A discount money-market quote applies the discount to face value, whereas an investment yield uses price paid; the denominators are different.

Day-count conversion

Actual/360 and actual/365 conventions produce different annualized quotes from the same period gain; convert before ranking yields.

Annualizing a short holding-period gain does not guarantee reinvestment at that rate; separate quote conversion from a return forecast.

Price a two-year floater at a changed required margin

At a reset date, a face100 floater has annual reference rate assumed constant4% and quoted margin1%, so projected coupons are5 each year. The required discount margin is2%, making a simplified constant discount rate6%. Price=5/1.06+105/1.06²=98.1666. Below-par price reflects quoted margin below required margin, despite the reference resetting.

A full market model projects each reference reset from its appropriate curve and applies the agreed discounting convention, caps/floors and credit assumptions. The flat-rate example isolates margin risk; it is not a universal method for every collateralized floater or a prediction that reference rates stay unchanged.

Formula and assumptions

Investment yield=(F−P)/P×year-days/days; discount yield=(F−P)/F×year-days/days

Original applied case: Floating-note margins and money-market quotes

1. A 90-day bill has face 100 and price 98.5; use a 360-day simple investment convention.
2. Period yield=(100−98.5)/98.5; annualized investment yield is that times 360/90=6.0914%.
3. The discount quote is only (1.5/100)×4=6%; differing bases explain the difference.

Errors to catch

• Do not assume: Quoted margin automatically equals market discount margin.
• Do not assume: Floating resets remove changes in credit spreads.
• Do not assume: All floating notes have zero risk.

Original knowledge check

Answer every question before checking. Review explanations after submitting; retry starts a new attempt.

Sources and coverage status

These original lessons are drafts. Public outlines are used to check scope; the official learning-outcome text and proprietary question banks are not reproduced here. Follow the source for exam-year requirements and updates.

• Reference · www.cfainstitute.org
• Reference · www.investor.gov