Bootstrapping yield curve practice problems (answers)

Bootstrapping yield curve practice problems (answers) -...

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Unformatted text preview: UNIVERSITY OF ILLINOIS College of Business - Department of Finance Finance 300 (Financial Markets) Boot Strapping the Yield Curve Question: Should you buy a term note based on the offered YTM of the yield curve, or risk combining various shorter- term maturity notes and one-year securities? What minimum one-year rate do you have to earn in various years to win this game? Example #1 Maturity (Yrs.) Face ($) (YTM) [Face ($)] * [(1+ YTM /n) t*n ]1 Year Rate (t-1)Interest Earned ($) Yield (%) $1,000.00 $1,000.00 1 $1,000.00 0.0300 $1,030.00 0.03000 $30.00 0.03000 2 $1,000.00 0.0400 $1,081.60 0.05010 $51.60 0.05010 3 $1,000.00 0.0460 $1,144.45 0.05810 $62.85 0.05810 4 $1,000.00 0.0500 $1,215.51 0.06209 $71.06 0.06209 5 $1,000.00 0.0520 $1,288.48 0.06004 $72.98 0.06004 Three-Year Note (Compound Return) = (1.046)* (1.046)* (1.046) = 1.144 –1 = .144 1 Year Rate (t-1) equals: [(1+.046) 3 ]/[(1+.04) 2 ] = 1.0581 – 1 = .0581 Two-Year Note & One-Year Note Starting in Year Three (Compound Return) = (1.04)* (1.04)* ( 1.0581 ) = 1.144 –1 = .144 Answer: If you can earn more than 5.81% on a one-year note starting at the beginning of year three you will win the Answer: If you can earn more than 5....
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This note was uploaded on 08/30/2009 for the course FIN 300 taught by Professor Jackson during the Spring '07 term at University of Illinois at Urbana–Champaign.

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Bootstrapping yield curve practice problems (answers) -...

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