Question

In: Finance

What is the price of a 10-year, $1,000 bond with a 6% coupon rate and semiannual...

What is the price of a 10-year, $1,000 bond with a 6% coupon rate and semiannual coupons if the bond’s yield to maturity is 9% (APR with semiannual compounding)?

$864.10

$1,038.07

$804.88

$1,077.95

Consider a project with the following cash flows:

Year                     0                 1                      2                      3                      4

Cash Flow      -10,000         4,000               4,000               4,000               4,000

What is the internal rate of return (IRR) of the above project?

23.23%

22.05%

21.86%

20.82%

Security:         AAA    AA      A         BBB    BB

Yield (%):       5.0       5.5       6.0       6.4       8.0

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 $1,000 and a coupon rate of 6%, with the coupons 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 an AAA rating, what will be their selling price?

$1,153.72

$947.22

$774.84

$1,072.67

Solutions

Expert Solution

1)

Computation Of Bond Price
a Semi-annual Interest Amount $                       30.00
($1000*6%/2)
b PV Annuity Factor for (20 Years,4.5%) 13.007936
c Present Value Of Annual Interest (a*b) $                    390.24
d Redemption Value $                 1,000.00
e PV Factor Of (20 Years,4.5%) 0.41464
g Present Value Of Redemption Amount (d*e) $                    414.64
f Price Of The Bond (c+g) $                    804.88

2)

3)

Computation Of Bond Price
a Annual Interest Amount $                       60.00
($1000*6%)
b PV Annuity Factor for (30 Years,5%) 15.372451
c Present Value Of Annual Interest (a*b) $                    922.35
d Redemption Value $                 1,000.00
e PV Factor Of (30 Years,5%) 0.23138
g Present Value Of Redemption Amount (d*e) $                    231.38
f Value   Of The Bond (c+g) $                 1,153.72

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