Question

Bond valuation [LO14-2] Your investment department has researched possible investments in corporate debt securities. Among the available investments are the following $100 million bond issues, each dated January 1, 2021. Prices were determined by underwriters at different times during the last few weeks. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1)

Company Bond Price Stated Rate
1. BB Corp. $ 107 million 15 %
2. DD Corp. $ 100 million 14 %
3. GG Corp. $ 93 million 13 %
Each of the bond issues matures on December 31, 2040, and pays interest semiannually on June 30 and December 31. For bonds of similar risk and maturity, the market yield at January 1, 2021, is 14%.
Required: Other things being equal, which of the bond issues offers the most attractive investment opportunity if it can be purchased at the prices stated?

Answer 1

Bond Valuation

Other things being equal, the bond issue that offers the most attractive investment opportunity if it can be purchased at the prices stated is:

= BB Corp. bonds.

Step-by-step explanation:

a) Data and Calculations:

Maturity period = 20 years

Issue date = January 1, 2021

Maturity date = December 31, 2040

Company Bond Price Stated Rate Annual Interest FV

1. BB Corp. $ 107 million 15 % $15 million $3,518,371,301.23

2. DD Corp. $ 100 million 14 % $14 million 2,827,106,832.58

3. GG Corp. $ 93 million 13 % $13 million 2,260,756,079.53

From an online financial calculator, the future values of the bonds are:

N (# of periods) 20

I/Y (Interest per year) 15

PV (Present Value) 107000000

PMT (Periodic Payment) 15000000

Results

FV = $3,518,371,301.23

Sum of all periodic payments $300,000,000.00

Total Interest $3,111,371,301.2

N (# of periods) 20

I/Y (Interest per year) 14

PV (Present Value) 100000000

PMT (Periodic Payment) 14000000

Results

FV = $2,827,106,832.58

Sum of all periodic payments $280,000,000.00

Total Interest $2,447,106,832.58

N (# of periods) 20

I/Y (Interest per year) 13

PV (Present Value) 93000000

PMT (Periodic Payment) 13000000

Results

FV = $2,260,756,079.53

Sum of all periodic payments $260,000,000.00

Total Interest $1,907,756,079.53