1. BUS422 (Ch 1& 2) 1 Bond Market Overview and Bond Pricing 1. Overview of Bond Market 2. Basics of Bond Pricing 3. Complications 4. Pricing Floater and Inverse Floater 5. Pricing Quotes and Accrued Interest

2. BUS422 (Ch 1& 2) 2 What is A Bond? Bond: a debt instrument requiring the issuer (debtor) to repay to lender/investor the amount borrowed plus interest over a specified period of time Plain vanilla bonds Advanced debt contract – mortgage pass-through securities

3. BUS422 (Ch 1& 2) 3 Most Generic Classification Government bonds – low/no risk, low yield, low expected returns -- return is high when yield goes down Risky bonds – non-government bonds, including corporate bonds, municipal bonds, mortgage securities (subprime market securities)

4. BUS422 (Ch 1& 2) 4 Sectors of US Bond Market Treasury Sector have you heard of saving bonds?saving bonds Agency Sector Municipal Sector Corporate Sector Asset-Backed Security Sector Mortgage Sector See: www.investinginbonds.comwww.investinginbonds.com

5. BUS422 (Ch 1& 2) 5

6. 6 Stocks vs. Bonds 1. Different Characteristics 2. Different Markets Stocks: traded on exchanges and OTC markets: NYSE, AMEX, NASDAQ Bonds: traded on OTC markets 3. Similarity: Buy stocks and bonds through online traders.online traders

7. BUS422 (Ch 1& 2) 7

8. 8 Overview of Bond Features Term to maturity Coupon rate –Fixed rate bonds –Floating rate bonds Reference rate + quoted margin Principal/Face Value Interest rate/yield to maturity Price

9. BUS422 (Ch 1& 2) 9 Example of a fixed payment bond 10 years, face value $1000, coupon rate 8%, semi-annually paid, interest rate 9%. What is the bond price? 45/(1+0.04)+45/(1+0.04)^2+… + 1045/(1+0.04)^10 There are many variations in bond designs: (1) deferred-coupon (2) amortizing securities: securities with a schedule of periodical principle repayments. (3) options could be embedded (page 5)

10. BUS422 (Ch 1& 2) 10 FV versus PV Future Value: P n = P 0 (1+r) n Present Value: P 0 = P n /(1+r) n Future value for a regular annuity Present value for a regular annuity

11. BUS422 (Ch 1& 2) 11 Examples 1.Cash flow (1): you receive $100 in year 1, $200 in year 2, $300 in year 3. Interest rate is 9%. What is the value of the cash flow? 2. Cash flow: you need to pay $100 in year 1, $200 in year 2, and $300 in year 3. Interest rate is 9%. How much you need invest today to pay for this loan? 3. Coupon Bond: 2 years, face value $1000, coupon rate 8%, semi-annually paid, interest rate 9%. What is the bond price? Using your financial calculator

12. BUS422 (Ch 1& 2) 12 Zero-coupon bonds Price of zero-coupon bond: P 0 = M/(1+r) n Example

13. BUS422 (Ch 1& 2) 13 Complications If the next payment is due in fewer than 6 months Cash flows may not be known What is the appropriate required yield and whether one discount rate can be applied to all cash flows

14. BUS422 (Ch 1& 2) 14 Next Due Payment < 6 months

15. BUS422 (Ch 1& 2) 15 Price Quoted and Accrued Interest Price quoted: 100: meaning 100% of its par value/face value Accrued interest: when an investor purchases a bond between coupon payments, the investor must compensate the seller of the bond for the coupon interest earned from the time of the last coupon payment to the settlement date of the bond. for a treasury bond, accrued interest is based on the actual number of days the bond is held by the seller. Full price/dirty price = price + accrued interest Clean price

16. BUS422 (Ch 1& 2) 16 Example A bond face value $1000, YTM=5%, coupon rate=6% semiannually paid, maturity=5 years. The bond was issued on 7/1/2003, and bought on 11/1/2005. What is price of the bond. v=? 0.33 n=? 6 FV=1000; I/Y=2.5; PMT=30; N=5 P=1023.23 P=(P+30)/1.025^0.33=1044.62

17. BUS422 (Ch 1& 2) 17 Procedures of computing price Step 1 Getting P Step 2 P+30 Step 3 P=(P+30)/1.025^0.33

18. BUS422 (Ch 1& 2) 18 Example (contd) What is the accrued interest of the bond? 30*2/3=20 What is the dirty price of the bond? Dirty price=1044.68 Clean price=1044.68-20=1024.68

19. BUS422 (Ch 1& 2) 19 Floater and Inverse Floater See Exhibit 2-4. Inverses price = collaterals price – floater price Collateral is the fixed-rate security from which the inverse floater is created Floor: the minimum interest rate on the inverse floater Cap: the maximum interest rate on the floater The sum of interests paid on floater and inverse floater must always equal interests on the collateral.

20. BUS422 (Ch 1& 2) 20 Risk Associated with Bonds 1.Interest-rate risk 2.Reinvestment risk 3.Call risk 4.Credit risk 5.Inflation risk 6.Exchange-rate risk 7.Liquidity risk – institutional investor must trade frequently in some extent 8.Risk risk

21. BUS422 (Ch 1& 2) 21 Exercises 1.Is there risk when investing in treasury bonds, supposing there is no chance that the US government will default. 2.Ignore any complication, write down the formula for a 3- year fixed payment coupon bond. Annual coupon rate is c, and coupons are semiannually paid. Face value is m, interest rate/discount rate/yield to maturity is r. 3.Questions 9 and 10 of chapter 1 4.Questions 7, 9, and 11 of chapter 2 (7. $13,111,510; 9. A. 541.25; b. –5.94%; c. 1077.95; d. 1000, -7.23%)