Current Yield

Current yield is a straightforward measure of a bond's annual income relative to its current market price. It is one of several yield calculations tested on the exam, and you must know when it's used, how to calculate it, and how it compares to other yield types. This concept appears frequently in questions about bond pricing and yield relationships.

Core Concepts

What Current Yield Measures

Current yield shows the annual interest income a bondholder receives as a percentage of the bond's current market price. It does not account for capital gains or losses that occur when a bond is purchased at a discount or premium and held to maturity. The formula is:

The annual interest payment is calculated by multiplying the bond's par value (typically $1,000) by its coupon rate. For example, a bond with a 5% coupon rate pays $50 in annual interest.

If that bond is trading at $950 in the market, the current yield is:

The current yield is higher than the coupon rate when the bond trades at a discount and lower than the coupon rate when the bond trades at a premium.

When to Use This

• Use current yield when the question asks for the annual income return based on the bond's current market price, not par value.
• It appears in questions comparing yield types or asking which yield measure ignores capital appreciation or depreciation.
• Choose current yield over nominal yield when the bond is not trading at par.
• Current yield is the correct answer when the question states the bond is held but does not mention maturity or redemption - it focuses only on income now.

Relationship Between Coupon Rate, Current Yield, and Market Price

Understanding how current yield moves relative to coupon rate and market price is critical for exam scenarios.

• Bond trading at par ($1,000): Current yield equals coupon rate.
• Bond trading at a discount (below par): Current yield is higher than coupon rate.
• Bond trading at a premium (above par): Current yield is lower than coupon rate.

Example: A bond with a 6% coupon rate pays $60 annually.

• At par ($1,000): Current yield = 60 ÷ 1,000 = 6%
• At a discount ($900): Current yield = 60 ÷ 900 = 6.67%
• At a premium ($1,100): Current yield = 60 ÷ 1,100 = 5.45%

When to Use This

• Use this relationship when a question asks which yield is higher or lower given a bond's market price.
• If the bond is trading at a discount, expect current yield > coupon rate.
• If the bond is trading at a premium, expect current yield < coupon="">
• This relationship helps eliminate wrong answer choices quickly in comparison questions.

Current Yield vs. Nominal Yield vs. Yield to Maturity

The exam frequently asks you to distinguish between yield types. Here's how they differ:

When to Use This

• Choose nominal yield when the question asks for the coupon rate or the bond is at par.
• Choose current yield when the question focuses on annual income relative to the purchase price and does not mention holding to maturity.
• Choose YTM when the question involves total return, holding to maturity, or includes both income and capital appreciation/depreciation.
• If a question asks which yield accounts for price change over time, eliminate nominal and current yield immediately.

Calculating Current Yield Step-by-Step

You may be given a bond's coupon rate and market price and asked to calculate current yield. Follow these steps exactly:

Task: Calculate current yield for a bond

1. Identify the bond's par value (assume $1,000 unless stated otherwise).
2. Identify the coupon rate (e.g., 4%).
3. Calculate the annual interest payment: Par Value × Coupon Rate.
4. Identify the bond's current market price (e.g., $950).
5. Divide annual interest payment by current market price.
6. Convert to a percentage (multiply by 100 if necessary).

Example:

A bond with a 5% coupon rate is trading at $1,050. What is the current yield?

1. Par value = $1,000
2. Coupon rate = 5%
3. Annual interest = 1,000 × 0.05 = $50
4. Current market price = $1,050
5. Current yield = 50 ÷ 1,050 = 0.0476
6. Current yield = 4.76%

When to Use This

• Use this procedure whenever a question provides a coupon rate and market price and asks for current yield.
• Check that you're dividing by market price, not par value - this is the most common calculation error.
• If the question gives you the annual dollar amount directly, skip step 3.

Impact of Interest Rate Changes on Current Yield

When market interest rates rise, bond prices fall, and current yield increases. When market interest rates fall, bond prices rise, and current yield decreases. This inverse relationship is fundamental.

• If interest rates increase, existing bonds pay lower income relative to new bonds, so their market price drops. The same annual interest payment divided by a lower price results in a higher current yield.
• If interest rates decrease, existing bonds become more attractive, their price increases, and current yield decreases.

Example: A bond paying $60 annually is priced at $1,000 (current yield = 6%). If rates rise and the bond price falls to $950, current yield rises to 6.32%. If rates fall and the bond price rises to $1,050, current yield falls to 5.71%.

When to Use This

• Use this concept when a question describes a change in market interest rates and asks what happens to current yield.
• If interest rates rise, expect current yield to increase (bond price falls).
• If interest rates fall, expect current yield to decrease (bond price rises).
• Eliminate any answer that suggests current yield and market rates move in the same direction.

Commonly Tested Scenarios / Pitfalls

1. Scenario: A question provides a bond's coupon rate and market price and asks you to calculate current yield. The bond's par value is not explicitly stated.

Correct Approach: Assume the par value is $1,000 unless otherwise indicated. Calculate annual interest as par value × coupon rate, then divide by the market price. For example, a 4% coupon on a bond trading at $950 yields $40 ÷ $950 = 4.21%.

Check first: Confirm whether the coupon rate is annual or semi-annual. If semi-annual, multiply by 2 to get the annual interest payment.

Do NOT do first: Do not divide the coupon rate by the market price directly. The coupon rate is a percentage; you need the dollar amount of annual interest first.

Why other options are wrong: Answers that divide the coupon rate by market price without converting to dollars, or that use par value instead of market price, will produce incorrect percentages that don't reflect actual income yield.

2. Scenario: A bond is trading at a premium, and the question asks which yield is lowest: nominal, current, or yield to maturity.

Correct Approach: For a bond at a premium, the order from highest to lowest is: nominal yield > current yield > yield to maturity. Select yield to maturity as the lowest.

Check first: Determine whether the bond is at a premium or discount. Premium means price > par; discount means price <>

Do NOT do first: Do not assume all yields are equal or that current yield is always the lowest. The relationship depends on whether the bond trades at a discount or premium.

Why other options are wrong: Nominal yield is fixed and does not change with market price. Current yield adjusts for market price but ignores capital loss at maturity. YTM accounts for both income and capital loss, making it the lowest for premium bonds.

3. Scenario: The exam asks what happens to a bond's current yield if market interest rates increase and the bond's price falls.

Correct Approach: Current yield increases. The annual interest payment remains constant, but dividing by a lower market price produces a higher percentage yield.

Check first: Identify the direction of the interest rate change and the resulting impact on bond price (inverse relationship).

Do NOT do first: Do not assume current yield moves in the same direction as market rates. Current yield moves opposite to bond price, which itself moves opposite to interest rates, so current yield moves in the same direction as interest rates.

Why other options are wrong: Answers stating current yield decreases or remains unchanged ignore the mathematical effect of a falling denominator in the yield formula. Answers that confuse current yield with coupon rate (which never changes) are incorrect.

4. Scenario: A question compares two bonds with identical coupon rates but different market prices and asks which has the higher current yield.

Correct Approach: The bond with the lower market price has the higher current yield. Since annual interest is the same for both, dividing by a smaller price yields a larger percentage.

Check first: Confirm that the coupon rates are indeed identical. If they differ, you must calculate each current yield separately.

Do NOT do first: Do not assume the bond with the higher price has the higher yield. Higher price means lower yield when income is constant.

Why other options are wrong: Choosing the bond with the higher price reverses the relationship. Stating yields are equal ignores the impact of different market prices on the yield calculation.

5. Scenario: A bond's current yield is 5.5%, and its coupon rate is 5%. The question asks whether the bond is trading at a discount, premium, or par.

Correct Approach: The bond is trading at a discount. Current yield is higher than coupon rate, meaning the market price is below par.

Check first: Compare current yield to coupon rate. If current yield > coupon rate, the bond is at a discount. If current yield < coupon="" rate,="" it's="" at="" a="" premium.="" if="" equal,="" it's="" at="">

Do NOT do first: Do not calculate the exact market price unless required. The relationship between yields already tells you the bond's price status relative to par.

Why other options are wrong: Choosing premium ignores that higher current yield results from a lower price. Choosing par is incorrect because current yield would equal coupon rate at par.

Step-by-Step Procedures or Methods

Task: Determine whether a bond is trading at a discount, premium, or par using yield relationships

1. Identify the bond's coupon rate (nominal yield).
2. Identify the bond's current yield.
3. Compare the two yields:
   • If current yield > coupon rate → bond is at a discount
   • If current yield < coupon="" rate="" →="" bond="" is="" at="" a="">premium
   • If current yield = coupon rate → bond is at par
4. If yield to maturity is also provided, verify:
   • For a discount bond: YTM > Current Yield > Coupon Rate
   • For a premium bond: Coupon Rate > Current Yield > YTM
   • For a par bond: Coupon Rate = Current Yield = YTM

Task: Calculate current yield given coupon rate and market price

1. Write down the bond's par value (default to $1,000).
2. Multiply par value by the coupon rate to get the annual interest payment in dollars.
3. Write down the bond's current market price.
4. Divide the annual interest payment by the current market price.
5. Multiply by 100 to express as a percentage (or leave as a decimal if the question format requires it).
6. Round to two decimal places unless instructed otherwise.

Example: A bond has a 6% coupon rate and is trading at $1,080. Calculate current yield.

1. Par value = $1,000
2. Annual interest = 1,000 × 0.06 = $60
3. Current market price = $1,080
4. Current yield = 60 ÷ 1,080 = 0.0556
5. Current yield = 5.56%

Practice Questions

Q1: A bond with a 4% coupon rate is currently trading at $950. What is the bond's current yield?
(a) 4.00%
(b) 4.21%
(c) 3.80%
(d) 5.00%

Ans: (b)
Annual interest = $1,000 × 0.04 = $40. Current yield = 40 ÷ 950 = 0.0421 or 4.21%. (a) is the coupon rate, not current yield. (c) incorrectly divides by a higher value. (d) is unrelated to the calculation.

Q2: A bond is trading at a premium. Which of the following statements is true?
(a) Current yield is higher than the coupon rate
(b) Current yield equals the coupon rate
(c) Current yield is lower than the coupon rate
(d) Current yield is higher than yield to maturity

Ans: (c)
When a bond trades at a premium (above par), the current yield is lower than the coupon rate because the same annual interest is divided by a higher market price. (a) describes a discount bond. (b) describes a bond at par. (d) is incorrect because for premium bonds, current yield > YTM, not the reverse.

Q3: An investor holds a bond with a 5% coupon rate trading at par. If market interest rates rise, what happens to the bond's current yield?
(a) Current yield decreases
(b) Current yield remains at 5%
(c) Current yield increases
(d) Current yield equals yield to maturity

Ans: (c)
When market interest rates rise, bond prices fall. The bond will trade below par, and the same $50 annual interest divided by a lower price results in a higher current yield. (a) is the opposite effect. (b) ignores price movement. (d) may be true initially but does not address the change in current yield.

Q4: A bond pays $70 in annual interest and is currently priced at $1,120. What is the bond's current yield?
(a) 7.00%
(b) 6.25%
(c) 5.50%
(d) 6.75%

Ans: (b)
Current yield = 70 ÷ 1,120 = 0.0625 or 6.25%. (a) is the nominal yield (70 ÷ 1,000). (c) and (d) result from incorrect arithmetic or wrong denominators.

Q5: Which yield measure does NOT account for capital gains or losses?
(a) Yield to maturity
(b) Yield to call
(c) Current yield
(d) Total return

Ans: (c)
Current yield only measures annual income relative to market price; it ignores any gain or loss from buying below or above par. (a) and (b) both account for capital changes. (d) explicitly includes all sources of return, including capital appreciation.

Q6: A bond with a 6% coupon is trading at $900. Which of the following is correct?
(a) Current yield is 6%
(b) Current yield is less than 6%
(c) Current yield is greater than 6%
(d) Current yield equals yield to maturity

Ans: (c)
The bond is trading at a discount, so current yield is higher than the coupon rate. Annual interest = $60; current yield = 60 ÷ 900 = 6.67%. (a) applies only at par. (b) applies to premium bonds. (d) is incorrect because YTM would be even higher than current yield for a discount bond.

Quick Review

• Current yield formula: Annual Interest ÷ Current Market Price
• Current yield measures annual income return only; it does not account for capital gains or losses at maturity.
• When a bond trades at par, current yield = coupon rate.
• When a bond trades at a discount, current yield > coupon rate.
• When a bond trades at a premium, current yield < coupon="">
• For premium bonds: Coupon Rate > Current Yield > Yield to Maturity.
• For discount bonds: Yield to Maturity > Current Yield > Coupon Rate.
• Rising interest rates cause bond prices to fall and current yields to increase.
• Falling interest rates cause bond prices to rise and current yields to decrease.
• Always assume par value is $1,000 unless stated otherwise.