Q1 Q2 Q3 Security AAA Corporate AA Corporate A Corporate BBB
Q1:
Q2:
Q3:
?Security:
AAA Corporate
AA Corporate
A Corporate
BBB Corporate
BB Corporate
Yield? (%):
5.6
5.7
6.2
6.4
7.0
A mining company needs to raise? $100 million in order to begin open pit mining of a coal seam. The company will fund this by issuing? 30-year bonds with a face value of? $1000 and a coupon rating of 6.3?%, paid annually. The above table shows the yield to maturity for similar? 30-year corporate bonds of different ratings. If the mining? company\'s bonds receive a A? rating, what will be their selling? price?
A. $1,216.17
B. $1,013.48
C. $810.78
D. $1,418.87
Q4:
Luther Industries needs to raise? $25 million to fund a new office complex. The company plans on issuing? ten-year bonds with a face value of? $1000 and a coupon rate of 6.8?%
?(annual payments). The following table summarizes the YTM for similar? ten-year corporate bonds of various credit? ratings:
Rating
AAA
AA
A
BBB
BB
YTM
6.84?%
7.04?%
7.14?%
7.54?%
8.04?%
Assuming that? Luther\'s bonds receive a AAA? rating, the price of the bonds will be closest? to:
A. $798
B. $1,197
C. $997
D.$ 1,396
| ?Security: | AAA Corporate | AA Corporate | A Corporate | BBB Corporate | BB Corporate |
| Yield? (%): | 5.6 | 5.7 | 6.2 | 6.4 | 7.0 |
Solution
1. FV =10000, PMT = 345.0, N = 18, rate = 5.5%
use PV function in Excel
price of bond = 7,695
2. price = 100/1.065 = 93.90
3. FV = 1000, N = 30, PMT = 63, rate = 6.20%
use PV function in Excel
price = 1,013.48
4.
FV = 1000, N = 10, PMT = 68, rate = 6.84%
use PV function in Excel
price = 997

