Lecture 4 Debt Valuation
Introduction to Debt
Definition: Debt involves borrowing money to be repaid in the future.
Types of Debt Instruments:
Bill: Short-term debt with principal payments within a year.
Bond: Long-term debt with promised future payments and a maturity date.
Bondholders receive periodic interest payments and principal at maturity.
Default consequences: Failure to pay can lead to bankruptcy.
Bond Terminology
Face Value (Par Value): Principal amount borrowed, typically $1000 for corporate bonds.
Maturity: Final repayment date of the bond.
Bond Terminology Continued
Coupon Payments (CPN): Interest payments on bonds. Pay twice a year.
Coupon Rate: Rate at which coupons are paid, expressed as APR.
Yield to Maturity (YTM): Market required rate of return for bonds, used as a discount rate. Yield twice a year.
Bond Pricing
Bond present value = Present value of interest payments + Present value of principal.
Formula:
Where ( rd ) is the yield to maturity, similar to EAR, only use it when the compounding effect is different.
Zero Coupon Bonds
No coupon payments; only one payment at maturity.
Pricing formula:
Typically sold at a discount.
Bond Yields
Yield to maturity is the discount rate that equates present value of payments to bond price.
Changes daily with interest rate fluctuations.
Bond Price and YTM Relationship
Inverse relationship: As interest rates and bond yields rise, bond prices fall, and vice versa.
Coupon Rate vs. Yields to Maturity
If coupon rate = YTM, bond sells at face value (par bond).
If coupon rate < YTM, bond sells at a discount.
If coupon rate > YTM, bond sells at a premium.
If bond price = face value, bond sells at face value (par bond).
If bond price < face value, bond sells at a discount.
If bond price > face value, bond sells at a premium
Bond Theorem Applications
If rates are expected to increase, avoid long-term/low coupon bonds.
If rates are expected to decline, consider investing in long-term/low coupon bonds.
Bond Risk Characteristics: Maturity
Long-term bonds are more sensitive to interest rate changes than short-term bonds.
Interest rate risk increases with maturity.
Bond Risk Characteristics: Coupon Payments
Lower coupon bonds are more sensitive to interest rate changes than higher coupon bonds.
Corporate Bond Yields
Bonds with credit risk yield higher returns than default-free bonds.
Credit Risk in Bonds:
Credit risk refers to the possibility that a bond issuer will default on its debt obligations, failing to make interest payments or repay the principal at maturity.
Default risk is the risk of non-payment, risk that lender may not receive payments as promised.
Investment Grade Bonds
Aaa/AAA: Best quality, lowest risk.
Aa/AA: High quality, lower than Aaa.
A/A: Upper-medium grade.
Baa/BBB: Medium grade, some speculative characteristics.
Speculative Bonds
Ba/BB: Speculative elements, moderate protection.
B/B: Lacks desirable investment characteristics.
Caa/CCC: Poor standing, may be in default.
C/C/D: Extremely poor prospects.
Introduction to Debt
Definition: Debt involves borrowing money to be repaid in the future.
Types of Debt Instruments:
Bill: Short-term debt with principal payments within a year.
Bond: Long-term debt with promised future payments and a maturity date.
Bondholders receive periodic interest payments and principal at maturity.
Default consequences: Failure to pay can lead to bankruptcy.
Bond Terminology
Face Value (Par Value): Principal amount borrowed, typically $1000 for corporate bonds.
Maturity: Final repayment date of the bond.
Bond Terminology Continued
Coupon Payments (CPN): Interest payments on bonds. Pay twice a year.
Coupon Rate: Rate at which coupons are paid, expressed as APR.
Yield to Maturity (YTM): Market required rate of return for bonds, used as a discount rate. Yield twice a year.
Bond Pricing
Bond present value = Present value of interest payments + Present value of principal.
Formula:
Where ( rd ) is the yield to maturity, similar to EAR, only use it when the compounding effect is different.
Zero Coupon Bonds
No coupon payments; only one payment at maturity.
Pricing formula:
Typically sold at a discount.
Bond Yields
Yield to maturity is the discount rate that equates present value of payments to bond price.
Changes daily with interest rate fluctuations.
Bond Price and YTM Relationship
Inverse relationship: As interest rates and bond yields rise, bond prices fall, and vice versa.
Coupon Rate vs. Yields to Maturity
If coupon rate = YTM, bond sells at face value (par bond).
If coupon rate < YTM, bond sells at a discount.
If coupon rate > YTM, bond sells at a premium.
If bond price = face value, bond sells at face value (par bond).
If bond price < face value, bond sells at a discount.
If bond price > face value, bond sells at a premium
Bond Theorem Applications
If rates are expected to increase, avoid long-term/low coupon bonds.
If rates are expected to decline, consider investing in long-term/low coupon bonds.
Bond Risk Characteristics: Maturity
Long-term bonds are more sensitive to interest rate changes than short-term bonds.
Interest rate risk increases with maturity.
Bond Risk Characteristics: Coupon Payments
Lower coupon bonds are more sensitive to interest rate changes than higher coupon bonds.
Corporate Bond Yields
Bonds with credit risk yield higher returns than default-free bonds.
Credit Risk in Bonds:
Credit risk refers to the possibility that a bond issuer will default on its debt obligations, failing to make interest payments or repay the principal at maturity.
Default risk is the risk of non-payment, risk that lender may not receive payments as promised.
Investment Grade Bonds
Aaa/AAA: Best quality, lowest risk.
Aa/AA: High quality, lower than Aaa.
A/A: Upper-medium grade.
Baa/BBB: Medium grade, some speculative characteristics.
Speculative Bonds
Ba/BB: Speculative elements, moderate protection.
B/B: Lacks desirable investment characteristics.
Caa/CCC: Poor standing, may be in default.
C/C/D: Extremely poor prospects.