Realized yield measures an investment's actual return, with examples separating holding-period gains, coupon reinvestment, and annualized bond returns.
Realized yield is the return an investment actually earned over a completed holding period, based on the cash paid, income received, and sale or redemption proceeds. In bond analysis, the term often means the annualized compound return after accounting for what happened to coupon payments before the investment ended.
The label needs a calculation convention. A holding-period return, a compound return on ending wealth, and an internal rate of return on dated cash flows can describe the same investment differently.
For one purchase, one final sale or redemption, and cash income that is not reinvested:
Here, (P) is the purchase outlay, (S) is final proceeds, and (I) is cash income received during the holding period. This simplified calculation excludes fees and taxes and does not account for the timing of individual income payments.
Suppose a bond costs $950, pays $50 in interest, and is sold for $1,000 exactly one year later:
The gain comprises $50 of interest and $50 of price appreciation. The $1,000 sale proceeds are not all profit: most of that cash replaces the original investment.
If the same $100 gain were earned over two years, 10.53% would be the two-year return, not an annual rate. FINRA’s investment-return explanation distinguishes total gains from annualized performance and includes investment costs in the calculation.
When coupons are reinvested, measure the ending value of those coupons as well as the bond proceeds:
Here, (W_H) is total wealth at the end of the holding period, (S_H) is sale or redemption proceeds, and (H) is the holding period in years. The calculation assumes a positive initial outlay, nonnegative ending wealth, and no additional external contributions or withdrawals.
Use the actual accumulated value of coupons. Do not add the original coupons a second time when their value is already included in the reinvestment balance.
Assume a bond was bought for $980 immediately after a coupon payment, with no accrued interest owed. The investor received the next $50 coupon after one year and another $50 after two years. Immediately after receiving the second coupon, the investor sold the bond for $990.
The first coupon earned 3% over the intervening year. There were no costs, taxes, additional purchases, or withdrawals.
| Component | Amount at the end of year two |
|---|---|
| Bond sale proceeds, excluding the separately received coupon | $990.00 |
| First $50 coupon, reinvested for one year at 3% | $51.50 |
| Second coupon, received at the sale date | $50.00 |
| Total ending wealth | $1,091.50 |
The two-year return is:
The annualized compound return is:
If the first coupon had instead remained in non-interest-bearing cash, ending wealth would have been $1,090 and the compound annual return approximately 5.46%. The extra $1.50 from reinvestment changes the result even though both bond coupons and the sale price are unchanged.
This is an illustrative completed transaction, not a forecast of bond returns.
Yield to maturity is the discount rate that equates a bond’s price with its scheduled cash flows. It is not a guarantee about the investor’s eventual wealth.
For an annual-coupon bond, the realized compound annual return matches the purchase YTM when the bond is held to maturity, scheduled payments arrive in full and on time, and coupons earn that same rate until maturity. For other payment frequencies, compare equivalent compounding conventions.
An early sale, a call, missed payments, or a different reinvestment rate can change the outcome. CFA Institute’s interest-rate risk and return overview explains the distinction between coupon receipts, reinvestment earnings, and sale-price changes.
A projected horizon yield uses assumed future reinvestment and sale values. It becomes a realized calculation only when those inputs reflect completed events.
The bond example can also be analyzed as the security’s cash flows: a $980 outlay, $50 after one year, and $1,040 after two years, including sale proceeds and the final coupon.
Its cash-flow internal rate of return solves:
The annual IRR is approximately 5.60%, rather than the 5.54% compound return on bond-plus-reinvestment wealth.
These answers are not contradictory. IRR discounts the security’s payments on their receipt dates; the ending-wealth calculation also includes the first coupon’s actual 3% reinvestment outcome. Computing IRR does not require assuming that a reinvestment transaction actually occurred.
For irregular payment dates, a dated-cash-flow method is needed. Microsoft’s XIRR documentation specifies its cash-flow inputs and 365-day discounting convention. Label the method rather than treating all annualized returns as interchangeable.
| Measure | What it measures | What it leaves out or assumes |
|---|---|---|
| Bond current yield | Annual coupon divided by current price | Price change, redemption difference, and reinvestment |
| Dividend yield | Annual dividends per share divided by share price | Capital gains or losses |
| Yield on cost | Annual income relative to historical purchase cost | Current market value and total performance |
| Projected horizon yield | Modeled return over a future holding period | Depends on assumptions not yet realized |
| Realized compound yield | Growth from initial outlay to actual ending wealth | Needs the holding period and reinvestment treatment |
In particular, dividend yield does not include share-price appreciation. Dividends plus price changes belong in a total-return calculation, not a dividend-yield formula.
A realized return documents what happened over one period. It does not establish the investment’s safety or predict future returns. Taxable realized gains may also differ from economic investment gains because tax basis and recognition rules depend on the jurisdiction.
This article is general financial education, not personalized investment or tax advice.