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Date Posted: 18:42:20 04/08/02 Mon
Author: Sam Huang
Subject: Please help me to solve these questions!!!

1)You intend to purchase a 10-year, $1,000 face value bond that pays interest of $60 every 6 months. If your nominal annual required rate of return is 10 percent with semiannual compounding, how much should you be willing to pay for this bond?


2)Assume that you wish to purchase a 20-year bond that has a maturity value of $1,000 and makes semiannual interest payments of $40. If you require a 10 percent nominal yield to maturity on this investment, what is the maximum price you should be willing to pay for the bond?


3)A $1,000 par value bond pays interest of $35 each quarter and will mature in 10 years. If your nominal annual required rate of return is 12 percent with quarterly compounding, how much should you be willing to pay for this bond?


4)In order to accurately assess the capital structure of a firm, it is necessary to convert its balance sheet figures to a market value basis. KJM Corporation's balance sheet as of today, January 1, 2002, is as follows:

Long-term debt (bonds, at par) $10,000,000
Preferred stock 2,000,000
Common stock ($10 par) 10,000,000
Retained earnings 4,000,000
Total debt and equity $26,000,000

The bonds have a 4 percent coupon rate, payable semiannually, and a par value of $1,000. They mature on January 1, 2012. The yield to maturity is 12 percent, so the bonds now sell below par. What is the current market value of the firm's debt?


5)The current price of a 10-year, $1,000 par value bond is $1,158.91. Interest on this bond is paid every six months, and the nominal annual yield is 14 percent. Given these facts, what is the annual coupon rate on this bond?

6)A 12-year bond pays an annual coupon of 8.5 percent. The bond has a yield to maturity of 9.5 percent and a par value of $1,000. What is the bond’s current yield?

7)A bond matures in 12 years, and pays an 8 percent annual coupon. The bond has a face value of $1,000, and currently sells for $985. What is the bond’s current yield and yield to maturity?

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