1. Six years ago, The Corzine Company sold a 20-year bond issue with a 14 percent annual coupon rate and a 9 percent call premium. Today, Corzine called the bonds. The bonds originally were sold at their face value of $1,000. Compute the realized rate of return for investors who purchased the bonds when they were issued and who surrender them today in exchange for the call price.

2. You just purchased a bond which matures in 5 years. The bond has a face value of $1,000, and has an 8 percent annual coupon. The bond has a current yield of 8.21 percent. What is the bond’s yield to maturity?

3. The Dass Company’s bonds have 4 years remaining to maturity. Interest is paid annually; the bonds have a $1,000 par value; and the coupon interest rate is 9 percent. What is the yield to maturity at a current market price of $829? Would you pay $829 for one of these bonds if you thought that the appropriate rate of return was 12 percent?

PV = 829; N = 4; FV = 1000; PMT =90; CPT I/Y
I/Y = 14.99%
YES, IF YOU THOUGHT THE APPROPRIATE RATE WAS 12%, YOUR PV WOULD ACTUALLY BE HIGHER MEANING YOU WOULD BE WILLING TO PAY MORE THAN $829.

4. Sitel Inc. has a bond which matures in 7 years and currently sells for $1,020. The bond has a face value of $1,000 and a yield to maturity of 10.5883 percent. The bond pays coupons semiannually. What is the bond’s current yield?

...perpetual bond is currently selling for RS. 95/-. The coupon rate of interest is 13.5%. The approximate discount rate is 15%. The value of the bond and the YTM is:
(a) Rs. 90/- and 14.2% Value is (13.5*15%=90) and YTM is ((13.5/95)*100=14.21%)
(b) Rs. 100/- and 13.5%
(c) Rs. 90 and 15%
(d) Rs. 90/- and 13.5%
902. In 2001, Meridian Ltd. has issued bonds of Rs. 10,000/-each due in 2011 with a 14% per annum coupon rate payable at the end of each year during the life of the bond. If the required rate of interest is 8%, find the present value of the bond. Tick the nearest option.
(a) 10,000
(b) 7302
(c) 2,700
(d) 14,026 (9394.11+4631.93=14026.05)
903. The present market value of an equity share is Rs. 80/-; and the exercisable price of the warrant is Rs. 60/- per share. An investor is holding a warrant entitling him to purchase 50 equity shares. The minimum value of the warrant is:
(a) 1,000/- (80-60=20*50=1000)
(b) 4,000/-
(c) 3,000/-
(d) None of these
904. A bond with a coupon rate of 8% is available at its face value of Rs. 1,000/-. The market rate of return on an instrument with similar risk goes down to 6%. The bond price will become:
(a) 1,000/-
(b) 750/-
(c) 1,333/- (800/6%)
(d) None of these
905. A bond with a coupon rate of 10% is available at Rs. 1,250/-. The face value of the bond is Rs. 1,000/-. The...

...BONDSBonds pay fixed coupon (interest) payments at fixed intervals (usually every six months) and pay the par value at maturity.
Par value = $1,000
Coupon = 6.5% or par value per year,
or $65 per year ($32.50 every six months).
Maturity = 28 years (matures in 2032).
Issued by AT&T.
Types of Bonds
Debentures - unsecured bonds.
Subordinated debentures - unsecured “junior” debt.
Mortgage bonds - securedbonds.
Zeros - bonds that pay only par value at maturity; no coupons.
Junk bonds - speculative or below-investment grade bonds; rated BB and below. High-yield bonds.
Eurobonds - bonds denominated in one currency and sold in another country. (Borrowing overseas).
example - suppose Disney decides to sell $1,000 bonds in France. These are U.S. denominated bonds trading in a foreign country. Why do this?
If borrowing rates are lower in France.
To avoid SEC regulations.
The Bond Indenture
The bond contract between the firm and the trustee representing the bondholders.
Lists all of the bond’s features:
coupon, par value, maturity, etc.
Lists restrictive provisions which are designed to protect bondholders.
Describes repayment provisions.
VALUE
Book value: value of an asset as shown on a firm’s balance sheet; historical cost.
Liquidation value: amount that could be...

...Week 3 Time Value of Money and Valuing Bonds
Chapter 6
55. Amortization with Equal Payments Prepare an amortization schedule for a five-year loan of $36,000. The interest rate is 9 percent per year, and the loan calls for equal annual payments. How much interest is paid in the third year?
Answer: $2,108.52
56. Amortization with Equal Principal Payments Rework Problem 55 assuming that the loan agreement calls for a principal reduction of $7,200 every year instead of equal annual payments.
Answer: $1,944.00
57. Calculating Annuity Values Bilbo Baggins wants to save money to meet three objectives. First, he would like to be able to retire 30 years from now with retirement income of $20,000 per month for 20 years, with the first payment received 30 years and 1 month from now. Second, he would like to purchase a cabin in Rivendell in 10 years at an estimated cost of $325,000. Third, after he passes on at the end of the 20 years of withdrawals, he would like to leave an inheritance of $750,000 to his nephew Frodo. He can afford to save $2,000 per month for the next 10 years. If he can earn an 11 percent EAR before he retires and an 8 percent EAR after he retires, how much will he have to save each month in years 11 through 30?
Answer: $2,259.65
58. Calculating Annuity Values After deciding to buy a new car, you can either lease the car or purchase it on a three-year loan. The car you wish to buy costs $28,000. The dealer has a special leasing arrangement...

...Lecture 03: Applying the Time Value of Money to Security Valuation – Valuation of Bonds and Debt Securities
A bond or a debenture is a long term debt instrument carrying a fixed rate of interest which is known to investors. A bond is redeemable after a specified period.
Bonds are also called gilt edged securities or gilt when issued by the government since it is free of default risk.
Features of a Bond or Debenture
• Face Value – Face value is called par value. A bond / debenture is generally issued at a par value and interest is paid on the par value.
• Interest Rate – Interest rate is fixed and known to the bondholders / debenture holders. Interest paid on a bond is tax deductible. The interest rate is also called the coupon rate.
• Maturity – A bond is issued for a specified period of time. It is repaid on maturity.
• Redemption Value – The value which a bondholder will get on maturity is called redemption value.
• Market Value – A bond / debenture may be traded on the stock exchange. The price at which it is currently sold or bought is called the market value of the bond / debenture.
A bond is a long-term promissory note that promises to pay the bondholder a predetermined, fixed amount of interest each year until maturity. At maturity, the principal will be paid to the bondholder....

...Galloway
March 16, 2012
Part One: Vanilla Bonds
Abstract
Understanding how to properly value a vanilla bond is essential for finance (ctuonline.edu). In theory, the present value relationship determines the value of a bond, but in practice the actual price is (typically) determined by suggestions from other, more liquid mechanisms. The purpose of this work will be to research bonds offered by Safeway (SWY), analyze them, and then decide in what situation these bonds would be beneficial for the investor.
More often than not, a company that is successful will have retained some of its earnings. The company may do one of two things: disperse part of the cash out in the form of dividends, or simply hang onto it to create a competitive advantage. Eventually, they realize that the monies could be working for them also. Stocks may carry the lure of a larger return, but that comes with the volatility and risk of the market. Bonds, however, may offer a steady income (larger than dividends) that may be used to provide its investors with consistent revenues.
Safeway offers a bond that matures in 2031, with a coupon rate of 7.25% and a discount rate of 5.88%. This will make the payment $72.50. The following calculation reveals the bond price:
1000 Par
72.5 Payment
19 NPER
0.0588 YTM
($1,154.31) Value
This bond is currently selling above...

...features of a bond?
answer: if possible, begin this lecture by showing students an actual bond certificate. We show a real coupon bond with physical coupons. These can no longer be issued--it is too easy to evade taxes, especially estate taxes, with bearer bonds. All bonds today must be registered, and registered bonds don't have physical coupons.
1. Par or face value. We generally assume a $1,000 par value, but par can be anything, and often $5,000 or more is used. With registered bonds, which is what are issued today, if you bought $50,000 worth, that amount would appear on the certificate.
2. Coupon rate. The dollar coupon is the "rent" on the money borrowed, which is generally the par value of the bond. The coupon rate is the annual interest payment divided by the par value, and it is generally set at the value of k on the day the bond is issued. To illustrate, the required rate of return on one of southern bell's bonds was 11 percent when they were issued, so the coupon rate was set at 11 percent. If the company were to float a new issue today, the coupon rate would be set at the going rate today (october 1998), which would be about 7.4%.
3. Maturity. This is the number of years until the bond matures and the issuer must repay the loan (return the par value). The southern bell...

...The corporate bond market is “thin” compared to the market for money market securities or corporate stocks.
a) true
Prices in the corporate bond market tend to be less volatile than prices of securities sold in markets with greater trading volumes.
a) False
All other things being equal, a given change in the interest rates will have a greater impact on the price of a low-coupon bond than a higher-coupon bond with the same maturity.
a) True
If investors believe inflation will be increasing in the future, the prevailing yield will be downward sloping.
a) false
The real rate of interest varies with the business cycle, with the highest rates seen at the end of a period of business expansion and the lowest at the bottom of a recession.
a) True
Bond price: Briar Corp is issuing a 10-year bond with a coupon rate of 7 percent. The interest rate for similar bonds is currently 9 percent. Assuming annual payments, what is the present value of the bond? (Round to the nearest dollar.)
Years to maturity = n = 10
Coupon rate = C = 7%
Annual coupon = $1,000 x 0.07 = $70
Current market rate = i = 9%
Present value of bond = PB
Bond price: Jane Thorpe has been offered a seven-year bond issued by Barone, Inc., at a price of 943.22. The bond has a coupon rate of 9 percent and pays the coupon semiannually. Similar...

...BONDS
COMPUTING THE COUPON RATE, PRICE, YIELD AND YTM OF A BOND
Compute the coupon rate of a bond:
Divide the coupon by the face value of the bond.
Example: A bond has a $1,000 face value, a market price of $1,115, and pays interest payments of $90 every year. What is the coupon rate?
Coupon Rate = Coupon/Face Value
Coupon Rate = $90/$1,000=9%
Compute the current price of a bond (annual coupon payments):
The price of a bond equals the present value of the coupon payments (calculated as an annuity) plus the present value of the par value (computed as the present value of a single amount).
Example: A $1,000 face value bond currently has a yield to maturity of 8.89 percent. The bond matures in 7 years and pays interest annually. The coupon rate is 9 percent. What is the current price of this bond?
Bond value = present value of coupons + present value of par
Bond value = C[1 – 1/(1+r)t] / r + FV / (1+r)t
Example #2: Suppose ABC Co. issues $1,000 par bonds with 20 years to maturity. The annual coupon is $110. Similar bonds have a yield to maturity of 11%.
Bond value = PV of coupons + PV of face value
Bond value = 110[1 – 1/(1.11)20] / .11 + 1000 / (1.11)20
Bond value = 875.97 + 124.03 = $1000
Since the coupon...