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Principles of Finance with Excel, 2 nd edition Instructor materials Chapter 15 Bond valuation
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In this chapter Basic definitions, example of bond value, and YTM U.S. Treasury markets: discussion of the types of bonds and yield conventions Discussion of T-bills Treasury bonds Strips The U.S. Treasury yield curve Corporate bond markets Callable bonds Preferred stock 2
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Excel functions IRR XIRR Rate Yield 3
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What’s a bond? 4
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Bond terminology Face value Coupon rate Maturity date Payments: Annual? Semi-annual? Quarterly? Covenants Boilerplate 5
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There’s a LOT of debt around! 6
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U.S. government debt 7
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Corporate bonds Structurally—look like government bonds Issue date Maturity date Interest payments—most often semi- annually 8
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McDonald’s issues bonds 9
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November 5, 2010: Looking up these bonds in Yahoo 10 Instructor: Make this the subject of a homework? See minicase on instructor website.
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Back to XYZ bonds 11
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Computing the yield to maturity (YTM) 12 YTM is essentially just the effective annual interest rate (EAIR) discussed in Chapter 3. Reminder: EAIR is the IRR properly calculated. When the XYZ bond was issued, it had a YTM = 7%
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Complications in computing bond YTM Uneven spacing of bond payments Solution: Use Excel XIRR function Semiannual payments of interest Solution: XIRR again! Accrued interest Solution: Just understand what’s going on 13
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Complication 1: Uneven bond payments Example: XYZ bond issued on 15 Dec 2009 What if you buy the XYZ bond on 15 May 2010 for $1050? 14
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Use XIRR to solve this problem 15
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Reminder: XIRR 16
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Complication 2: What if XYZ bond has semiannual payments? 17 Semiannual payments: bond pays 7% annually, 3.5% every half year. Use IRR wisely or XIRR to compute the YTM of the bond.
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Complication 3: Accrued interest Problem: In U.S. the actual price paid for bond: Quoted bond price Accrued interest (unpaid interest from last interest date until sale date) 18
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Accrued interest example 19 Buy XYZ bond on 3 April 2010. Last coupon date 15 Dec 2009 Next coupon date 15 Dec 2011 See accrued interest computation to left.
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YTM with accrued interest 20 Note: Actual price paid for bond is: Quoted price + accrued interest = $1050 + 20.90
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U.S. Treasury Bills Short-term securities issued by U.S. government Typical maturity: less than a year Bills are discounted: No explicit interest 21
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22 Treasury bill issued on 2 Nov 2010 with maturity on 2 October 2011. Suppose price at issue = 99. Then YTM = 1.10%.
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Zero-coupon bonds Have only terminal payment (no coupons) Treasury “strips”: Each payment (coupon or return of principal) of a Treasury security is traded separately See next slide 23
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Use Treasury strips to find term structure of interest rates Page 475 of PFE Each strip determines the interest rate to a specific date: 25
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