Question

Even though most corporate bonds in the United States make coupon payments semiannually, bonds issued elsewhere often have annual coupon payments. Suppose a German company issues a bond with a par value of �1,000, 25 years to maturity, and a coupon rate of 7.5 percent paid annually.
If the yield to maturity is 8.6 percent, what is the current price of the bond? (Do not round intermediate calculations and round your final answer to 2 decimal places. (e.g., 32.16))

Answer 1

Answer:

Bond price=$888.35

Explanation:

The value of the bond is the present value (PV) of the future cash receipts expected from the bond. The value is equal to present values of interest payment plus the redemption value (RV) discounted at the yield rate

Value of Bond = PV of interest + PV of RV

The value of bond for Local School District can be worked out as follows:

Step 1

PV of interest payments

PV = A × (1+r)^(-n)/r

A-annul interest payment:

= 7.5% × 1,000× = 75

r-Annual yield = 8.6%

n-Maturity period = 25  

PV of interest payment:

=75× (1- (1+0.086)^(-25)/0.086)

= 761.22

Step 2

PV of Redemption Value

= 1000 × (1.017)^(-25)

= $127.131

Step 3

Price of bond

=761.222 + 127.13

=$888.35