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Lecture 4 Debt Valuation

What is debt?

  • 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.

What are some bond terminologies?

  • Bond Terminology

    • Face Value (Par Value): Principal amount borrowed, typically $1000 for corporate bonds.

    • Maturity: Final repayment date of the bond.

How does coupon payment work?

  • 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.

How to calculate present value of bond?

  • 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.

What is a zero-coupon bond?

  • Zero Coupon Bonds

    • No coupon payments; only one payment at maturity.

    • Pricing formula:

    • Typically sold at a discount.

What is bond yield?

  • Bond Yields

    • Yield to maturity is the discount rate that equates present value of payments to bond price.

    • Changes daily with interest rate fluctuations.

What is the relationship between interest rates, bond yields and bond prices?

  • Bond Price and YTM Relationship

    • Inverse relationship: As interest rates and bond yields rise, bond prices fall, and vice versa.

What is the relationship of coupon rate and yield to maturity?

  • 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.

What is the relationship of bond price and face value?

  • 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

How to invest in bonds?

  • 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.

What are some risks with bond?

  • 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.

How to rate bonds?

  • 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.

V

Lecture 4 Debt Valuation

What is debt?

  • 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.

What are some bond terminologies?

  • Bond Terminology

    • Face Value (Par Value): Principal amount borrowed, typically $1000 for corporate bonds.

    • Maturity: Final repayment date of the bond.

How does coupon payment work?

  • 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.

How to calculate present value of bond?

  • 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.

What is a zero-coupon bond?

  • Zero Coupon Bonds

    • No coupon payments; only one payment at maturity.

    • Pricing formula:

    • Typically sold at a discount.

What is bond yield?

  • Bond Yields

    • Yield to maturity is the discount rate that equates present value of payments to bond price.

    • Changes daily with interest rate fluctuations.

What is the relationship between interest rates, bond yields and bond prices?

  • Bond Price and YTM Relationship

    • Inverse relationship: As interest rates and bond yields rise, bond prices fall, and vice versa.

What is the relationship of coupon rate and yield to maturity?

  • 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.

What is the relationship of bond price and face value?

  • 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

How to invest in bonds?

  • 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.

What are some risks with bond?

  • 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.

How to rate bonds?

  • 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.

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