Pricing of Municipal Securities and Mathematical Calculations
Chapters in this video
- 0:00 Dollar price quoted as percentage of par
- 1:52 Accrued interest and the 30/360 day count trap
- 3:47 Premium amortization and the non-deductible loss rule
- 4:25 OID versus market discount accretion
- 5:13 Price sensitivity: duration risk and DV01
- 6:42 Yield to worst for callable bonds
- 7:55 Taxable equivalent yield formula
- 9:47 Reverse TEY and break-even tax bracket
- 10:40 Rapid-fire exam recap
What this video covers
- How municipal bonds are quoted as a percentage of par, and how to convert a quote like 102 into the actual dollar price of $1,020 per $1,000 face value
- The 30/360 day count convention for municipal and corporate accrued interest, and why U.S. government bonds use actual/actual instead
- How to compute accrued interest from the last coupon payment date up to, but not including, settlement date
- Why premium amortization reduces cost basis but is NOT deductible as a loss on tax-exempt municipal bonds
- The critical distinction between original issue discount (OID), which accretes tax-free, and market discount, which accretes as taxable ordinary income
- The legal requirement to quote yield to worst, with yield to call (YTC) lower than yield to maturity (YTM) for premium callable bonds
- The taxable equivalent yield (TEY) formula: tax-exempt yield divided by one minus the marginal tax rate, including when to combine federal, state, and local rates for in-state triple-tax-free bonds
- How to reverse the TEY formula to find the break-even tax bracket when given both a municipal yield and a taxable yield
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