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Chapter 5: Q9BP (page 528)

Question:Twenty-five-year B-rated bonds of Parker Optical Company were initially issued at a 12 percent yield. After 10 years the bonds have been upgraded to Aa2. Such bonds are currently yielding 10 percent to maturity. Use Table 16-2 to determine the price of the bonds with 15 years remaining to maturity. (You do not need the bond ratings to enter the table; just use the basic facts of the problem.)

Short Answer

Expert verified

Answer

The price per bond is computed as $1,153.72

Step by step solution

01

Definition of Coupon rate

The coupon rate is defined as the normal rate paid by the financial instrument. It is the annual coupon payment paid by the issuer of the securities.

02

Computation of price of the bond

SemiannualCoupon=CouponRate2脳FaceValue=0.122脳1,000=$60Priceperbond=CouponPayment脳(1-1+r-nr)+FaceValue(1+r)n=60脳(1-1+0.05-15脳20.05)+1,000(1+0.05)15脳2=$1,153.72

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Most popular questions from this chapter

Question: The management of Mitchell Labs decided to go private in 2002 by buying in all 2.80 million of its outstanding shares at \(24.80 per share. By 2006, management had restructured the company by selling off the petroleum research division for \)10.75 million, the fiber technology division for \(8.45 million, and the synthetic products division for \)20 million. Because these divisions had been only marginally profitable, Mitchell Labs is a stronger company after the restructuring. Mitchell is now able to concentrate exclusively on contract research and will generate earnings per share of $1.10 this year. Investment bankers have contacted the firm and indicated that if it reentered the public market, the 2.80 million shares it purchased to go private could now be reissued to the public at a P/E ratio of 15 times earnings per share.

b. What is the total value to the company from (1) the proceeds of the divisions that were sold, as well as (2) the current value of the 2.80 million shares (based on current earnings and an anticipated P/E of 15)?

Question: Barton Simpson, the chief financial officer of Broadband Inc. could hardly believe the change in interest rates that had taken place over the last few months. The interest rate on A2 rated bonds was now 6 percent. The \(30 million, 15-year bond issue that his firm has outstanding was initially issued at 9 percent five years ago. Because interest rates had gone down so much, he was considering refunding the bond issue. The old issue had a call premium of 8 percent. The underwriting cost on the old issue had been 3 percent of par, and on the new issue it would be 5 percent of par. The tax rate would be 30 percent and a 4 percent discount rate would be applied for the refunding decision. The new bond would have a 10-year life. Before Barton used the 8 percent call provision to reacquire the old bonds, he wanted to make sure he could not buy them back cheaper in the open market.

a. First compute the price of the old bonds in the open market. Use the valuation procedures for a bond that were discussed in Chapter 10 (use annual analysis). Determine the price of a single \)1,000 par value bond.

Discuss the relationship between the coupon rate (original interest rate at time of issue) on a bond and its security provisions. (LO16-1)

The Presley Corporation is about to go public. It currently has after-tax earnings of \(7,200,000, and 2,100,000 shares are owned by the present stockholders (the Presley family). The new public issue will represent 800,000 new shares. The new shares will be priced to the public at \)25 per share, with a 5 percent spread on the offering price. There will also be $260,000 in out-of-pocket costs to the corporation.

e. Determine what rate of return must be earned on the proceeds to the corporation so there will be a 5 percent increase in earnings per share during the year of going public.

The Pioneer Petroleum Corporation has a bond outstanding with an \(85 annual interest payment, a market price of \)800, and a maturity date in five years. Find the following:

a. The coupon rate.

b. The current rate.

c. The yield to maturity
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