بسم الله الرحمن الرحيم

بسم الله الرحمن الرحيم

333

ويكيبيديا الموسوعة المروانية مروان طاهات MANT يرحب بكم

السبت، 7 ديسمبر 2024

Types of Bond Yields:

 A bond yield represents the percentage return an investor earns from holding a bond, usually expressed as an annualized percentage. The calculation and interpretation of bond yields vary depending on the type, making it a vital metric for assessing the investment attractiveness of a bond.


1. Current Yield

Definition:
The current yield is the ratio of the annual coupon payment of a bond to its current market price.

Formula:

Current Yield=Annual Coupon PaymentCurrent Market Price of the Bond\text{Current Yield} = \frac{\text{Annual Coupon Payment}}{\text{Current Market Price of the Bond}}

Characteristics:

  • Reflects the relationship between annual income from coupons and the bond’s market price.
  • Does not consider the yield generated from the difference between the purchase price and face value at maturity.
  • Useful for evaluating the immediate income from coupon payments.

Example:
If a bond pays an annual coupon of $50 and its market price is $1,000, the current yield is 5%.


2. Yield to Maturity (YTM)

Definition:

Yield to maturity is the annualized return an investor earns if the bond is purchased at the current market price and held until it matures.

Formula:
There is no direct formula; it is calculated using an equation that equates the present value of future cash flows (coupons + face value) to the bond's current market price.

Characteristics:

  • Takes into account both the coupon payments and the difference between purchase price and face value.
  • Considered the most comprehensive measure of bond yields.
  • Widely used for comparing different bonds.

Example:
If a bond is purchased at a discount (below face value), the YTM will be higher than the current yield. Conversely, if purchased at a premium (above face value), the YTM will be lower than the current yield.


3. Yield to Call (YTC)

Definition:
Yield to call is the return an investor earns if the bond is called (redeemed by the issuer) before its maturity date.

Formula:
Similar to the yield to maturity formula but uses the call price and call date instead of face value and maturity date.

Characteristics:

  • Applicable only to callable bonds.
  • Indicates the return if the issuer opts to redeem the bond early.
  • Often lower than the yield to maturity.

Example:
If a bond has a call date in five years and a call price of $1,050, the YTC considers these values for its calculation.


4. Adjusted Yield

Definition:
Adjusted yield considers taxes or other costs that may impact the investor's final return.

Characteristics:

  • Commonly used for municipal bonds that may be tax-exempt.
  • Compares the after-tax yield of bonds.

Formula:

Adjusted Yield After Taxes=Yield Before Taxes×(1Tax Rate)\text{Adjusted Yield After Taxes} = \text{Yield Before Taxes} \times (1 - \text{Tax Rate})

Example:
If the tax rate is 30% and the pre-tax yield is 5%, the after-tax yield will be 3.5%.


5. Tax-Equivalent Yield

Definition:
Tax-equivalent yield determines the yield a taxable bond must provide to match the return of a tax-exempt bond.

Formula:

Tax-Equivalent Yield=Tax-Exempt Yield1Tax Rate\text{Tax-Equivalent Yield} = \frac{\text{Tax-Exempt Yield}}{1 - \text{Tax Rate}}

Characteristics:

  • Used to compare tax-exempt municipal bonds with taxable bonds.
  • Beneficial for investors in higher tax brackets.

Example:
If the yield on a municipal bond is 4% and the tax rate is 25%, the tax-equivalent yield will be 5.33%.


6. Yield to Worst (YTW)

Definition:
Yield to worst is the lowest possible yield an investor may receive if the bond is called or otherwise redeemed early.

Characteristics:

  • Accounts for all possible call dates.
  • Used to evaluate the minimum expected return.

7. Real Yield

Definition:
Real yield is the yield adjusted for inflation, reflecting the true value of returns to the investor.

Formula:

Real Yield=Nominal YieldInflation Rate\text{Real Yield} = \text{Nominal Yield} - \text{Inflation Rate}

Characteristics:

  • Used to assess the future purchasing power of returns.
  • Important in high-inflation environments.

Example:
If the nominal yield is 5% and the inflation rate is 2%, the real yield is 3%.


8. Nominal Yield

Definition:
Nominal yield is the fixed return associated with the bond based on its face value, regardless of its market price.

Formula:

Nominal Yield=Annual Coupon PaymentFace Value of the Bond\text{Nominal Yield} = \frac{\text{Annual Coupon Payment}}{\text{Face Value of the Bond}}

Characteristics:

  • Fixed for the lifetime of the bond.
  • Does not reflect market price changes or inflation.

Example:
If the bond's face value is $1,000 and the annual coupon is $50, the nominal yield is 5%.


Conclusion

The various types of bond yields provide different perspectives on the potential return from a bond, helping investors make informed decisions. Choosing the right yield type depends on investment goals, market conditions, and personal preferences. Understanding these metrics enables investors to balance risk and return effectively.