INV3702 Assignment 2 Solutions
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FAC,MAC,ECS,STA,DSC,TAX, FIN ,INV,QMI,
BNU,MNG,MNB,BSM, CLA
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, Question 1
To determine if Bond C is overvalued, undervalued, or fairly valued, I need to:
1. Calculate the theoretical price of Bond C using the spot rate curve derived from
zero-coupon bonds
2. Compare this to the actual market price derived from Bond C's YTM
Step 1: Derive spot rates from zero-coupon bonds
From Bond B (1-year zero):
S₁ = 2.350%
From Bond D (2-year zero):
S₂ = 2.500%
From Bond F (3-year zero):
S₃ = 2.725%
Step 2: Calculate theoretical price of Bond C using spot rates
Bond C: 6% coupon, 2 years to maturity, YTM = 2.496%
Theoretical price = 6/(1+S₁) + 106/(1+S₂)²
= 6/(1.02350) + 106/(1.02500)²
= 5.8622 + 106/(1.050625)
= 5.8622 + 100.8951
= R106.7573
Step 3: Calculate actual market price using YTM
Actual price = 6/(1.02496) + 106/(1.02496)²
= 5.8537 + 106/(1.050542)
= 5.8537 + 100.9007
= R106.7544
Step 4: Compare prices
TUTORING FOR
FAC,MAC,ECS,STA,DSC,TAX, FIN ,INV,QMI,
BNU,MNG,MNB,BSM, CLA
whatsapp me on+27737560989
EMAIL:
, Question 1
To determine if Bond C is overvalued, undervalued, or fairly valued, I need to:
1. Calculate the theoretical price of Bond C using the spot rate curve derived from
zero-coupon bonds
2. Compare this to the actual market price derived from Bond C's YTM
Step 1: Derive spot rates from zero-coupon bonds
From Bond B (1-year zero):
S₁ = 2.350%
From Bond D (2-year zero):
S₂ = 2.500%
From Bond F (3-year zero):
S₃ = 2.725%
Step 2: Calculate theoretical price of Bond C using spot rates
Bond C: 6% coupon, 2 years to maturity, YTM = 2.496%
Theoretical price = 6/(1+S₁) + 106/(1+S₂)²
= 6/(1.02350) + 106/(1.02500)²
= 5.8622 + 106/(1.050625)
= 5.8622 + 100.8951
= R106.7573
Step 3: Calculate actual market price using YTM
Actual price = 6/(1.02496) + 106/(1.02496)²
= 5.8537 + 106/(1.050542)
= 5.8537 + 100.9007
= R106.7544
Step 4: Compare prices