Exam (elaborations)
INV3702 Assignment 2 Semester 2 2023 Solutions
- Institution
- University Of South Africa (Unisa)
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FIXED INCOME ANALYSISINV3702
ASSIGNMENT 02 SEMESTER 2 2023
ANSWERS TO ASSIGNMENT 02 QUESTIONS
Work through lessons 1 to 7; then answer the following questions. Submit your assignment as a
pdf document via myUnisa.
QUESTION 1
You observe the following sovereign bonds.
Time to maturity Coupon Yield to
maturity
Bond A 1 year 6% 2.342%
Bond B 1 year 0% 2.350%
Bond C 2 years 6% 2.496%
Bond D 2 years 0% 2.500%
Bond E 3 years 6% 2.711%
Bond F 3 years 0% 2.725%
Determine whether Bond E is overvalued, undervalued or fairly valued. All coupons are
paid annually.
(3)
The price of the 3-year coupon bond (as a percentage of par) is:
N = 3; I/Y = 2.711; PMT = 6; FV = 100; CPT PV = −109.35
The no-arbitrage price of the 3-year coupon bond based on spot (zero-coupon) rates is:
6 + 6 + 106
1.02350 (1.02500)2 (1.02725)3 = 109.35
The 3-year coupon bond's price equals its no-arbitrage value, therefore the bond is fairly-
valued.
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