Finance Formulas

Fixed Income

foundation

Current Yield

Builds onHolding Period Return (HPR) — if this page feels steep, start there.

CY=annual couponpriceCY = \frac{\text{annual coupon}}{\text{price}}

Reading the notation

CYCY
current yield — income per dollar of price, as a decimal
CC
the annual coupon in currency (coupon rate × face value)
PP
the bond's market price today — NOT its face value

Why it must be true

The simplest bond yield there is: cash income per dollar paid — the bond's version of a dividend yield. It answers one narrow question well: "what income does this price buy me right now?"

What it deliberately ignores is the pull to par: a bond bought at 90 will also drift up to 100 at maturity (a gain), and one bought at 110 will drift down (a loss). Current yield sees neither — which is exactly the gap between it and yield to maturity.

The derivation

Take the annual coupon cash flow and divide by the capital committed at today's price:

CY=CPCY = \frac{C}{P}

It is the income component of the holding period return, annualized — HPR's DP0\frac{D}{P_0} term wearing a bond costume. The capital-gain component (P1P0)/P0(P_1 - P_0)/P_0 is what it leaves out.

When to reach for it

You're asked for the income return of a bond at today's price — or need the quick screen before a full YTM calculation.

Listen for

current yieldincome return on the bondannual coupon of … trading at …

Back-of-the-envelope

Estimate it in your head first — then the calculator only confirms.

  • Coupon rate × (par ÷ price): a 6% coupon at a price of 95 (per 100) → 6/95 ≈ 6.3%. Discount bonds have current yield ABOVE the coupon rate; premium bonds below.

  • Ordering check for a discount bond: coupon rate < current yield < YTM. For a premium bond the chain reverses. Any answer that breaks the chain is wrong.

Traps in applying it

  • Dividing by face value instead of price — that just recomputes the coupon rate.
  • Using the semiannual coupon: the numerator is the FULL annual coupon cash.
  • Presenting it as the bond's total return — it excludes the capital gain/loss from the pull to par.

Limits & criticisms

Current yield ignores the redemption entirely: two bonds with the same coupon and price but different maturities show identical current yields despite very different true returns. It also ignores reinvestment and accrued interest. It is a screening number — YTM is the decision number.

Where it came from

Current yield is the oldest yield quote in finance — it's how consols and rentes were compared in 18th-century coffee-house markets, where "a 3% stock at 75" instantly meant 4% income. Before calculators, the pull-to-par adjustment was read from printed bond tables, so current yield served as the on-the-spot approximation for two centuries of bond trading.

Today it survives in bond fund factsheets and financial media ("the 10-year yields…") — and in exams, precisely because confusing it with YTM is such a reliable trap.

One identity, 2 questions

The exam can hide any variable. Each face below is the same equation solved for a different unknown — drill them separately.

Income per dollar of price

CY=CPCY = \frac{C}{P}

The bond's dividend yield: what the price buys in annual cash, ignoring the pull to par.

Drill this face →

Coupon implied by a quoted yield

C=CY×PC = CY \times P

Read backwards: a quoted current yield and price pin down the cash coupon — useful for reverse-engineering fund factsheets.

Drill this face →

On the BA II Plus

Worked example: A bond with a $70.00 annual coupon is quoted at $850.00. What current yield should the factsheet show?

  1. 1.70 [÷] 850 [=]annual coupon ÷ price (as a decimal)

8.24%