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INV3702 Assignment 2 Semester 2 2023 Solutions

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FIXED INCOME ANALYSIS

INV3702


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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