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AP-207

Dividend and Income Investing

School 04 — Security Analysis and Portfolio Design

School 5 · Security Analysis and Portfolio Design · About 15 minutes

AP-206 introduced the bond as a loan with four parts — face value, coupon, maturity, and price. Now comes the question that turns those parts into money: given a bond's price today, what are you actually earning? Price and yield move like a seesaw, and once you see the seesaw you can read any bond quote in the world. We will now teach you about price versus yield, yield to maturity, coupons and current yield, and premium and discount bonds.

The Seesaw: When Prices Fall, Yields Rise

The single most important idea in bond pricing is a seesaw. A bond's payments are fixed — the coupon never changes. So if you pay less for the bond, those same payments represent a bigger return for you. Price down, yield up. Pay more, and the same payments represent a smaller return. Price up, yield down. They always move opposite.

Here is the whole thing in one example. A $1,000 bond pays a 5% coupon — $50 a year. Buy it at face value, $1,000, and you earn $50 on $1,000: 5%. Now imagine bad news hits the bond market and the price drops to $900. The coupon is still $50 a year. But now you earn $50 on only $900 invested — about 5.6%. The price fell, so the yield rose. If instead the bond were bid up to $1,100, your $50 on $1,100 is only about 4.5% — price rose, yield fell.

This is why rising interest rates hurt bonds (AP-206's duration lesson): when new bonds offer higher coupons, old bonds' prices fall until their yields match. Nobody overpays when the seesaw has already spoken. Remember it as a law of physics for bonds — it never breaks.

A playground seesaw: on one side a price tag falling, on the other side a yield gauge rising — and vice versa
A playground seesaw: on one side a price tag falling, on the other side a yield gauge rising — and vice versa

Yield to Maturity: The Number That Tells the Truth

If price changes what you earn, then a bond needs one honest number that summarizes your total return — including the price you paid, every coupon you will collect, and the difference between what you paid and what you get back at maturity. That number is yield to maturity — YTM. It is the annual return you earn if you buy the bond today, hold it to the end, and collect everything as promised.

Run the numbers on that $1,000 bond, 5% coupon, 10 years to maturity, bought at $950. Each year you collect $50 on your $950 — that is 5.26% from coupons alone (current yield is exactly this: annual coupon divided by the price you paid). Plus, at the end, you receive $1,000 back — $50 more than you paid, spread over 10 years, worth roughly another 0.5% a year. Put them together and the YTM is about 5.7% — higher than the 5% coupon, because you bought at a discount.

The professional shortcut: YTM ≈ (annual coupon + yearly share of the price gain or loss) ÷ price. You will never compute it by hand on a test — calculators and bond quotes do it — but now you know what the quoted number means. It is your true annual return, all-in, if you hold to maturity. Compare bonds by YTM, never by coupon alone.

Coupons: High, Low, and Zero

The coupon shapes a bond's personality. A high-coupon bond hands you most of your return early, as cash in hand every year — comfortable, and less sensitive to rate moves (remember duration: early payments mean lower duration). A low-coupon bond pays little along the way and returns most of your money at the end — cheaper to buy, twitchier when rates move.

Then there is the extreme: the zero-coupon bond, which pays no interest at all. You buy it at a deep discount — say $600 for a bond that repays $1,000 in twenty years — and your entire return is the price climbing toward face value over time. Zeros are the most rate-sensitive bonds in existence (all the money arrives at the very end), which makes them powerful tools for locking in a known future payout — say, a college bill in eighteen years — and dangerous to hold if rates are about to rise.

The pattern is universal: the later your money arrives, the more the bond's price swings with interest rates. Coupons are not just income — they are timing, and timing is risk.

Premium Bonds and Discount Bonds: Reading the Price Tag

One last vocabulary pair that makes bond quotes readable. A discount bond trades below face value — like our $950 example. Buy it, hold it, and you pocket the discount at maturity on top of the coupons; its YTM sits above its coupon rate. A premium bond trades above face value — say $1,080 for that same $1,000 bond. You overpay up front and get back only $1,000 at the end, so its YTM sits below its coupon rate.

Why would anyone pay a premium? Because the coupon is fat. A bond with an 8% coupon is worth paying extra for when new bonds only pay 4% — you are buying a stream of rich payments, and the premium is the price of admission. The YTM still tells the truth: whatever you paid, your actual return is the number the seesaw gives you.

Now the picture is complete: face value, coupon, price, and yield to maturity are four faces of the same deal. Read the YTM, and you know exactly what a bond pays you for your money. Next, AP-208 asks the other great bond question: will you actually get paid?

Key terms

Price vs. yield
bond prices and yields move opposite, like a seesaw; fixed payments mean a lower price always delivers a higher yield.
Yield to maturity (YTM)
the bond's true annual return if you buy today and hold to maturity: coupons, price gain or loss, all included.
Current yield
annual coupon divided by the price you paid; the income-only slice of the return.
Coupon
the bond's stated interest rate on face value; fixed for the life of the bond.
High-coupon bond
returns most of its money early as cash; calmer when rates move.
Low-coupon bond
returns most of its money at the end; twitchier when rates move.
Zero-coupon bond
pays no interest; bought at a deep discount, with the entire return coming at maturity.
Discount bond
trades below face value; its YTM sits above its coupon rate.
Premium bond
trades above face value; its YTM sits below its coupon rate.

What's next

You know what a bond pays you — now, will the borrower actually pay? AP-208 "Credit Risk and Bond Ratings" covers default risk, the rating agencies, and credit spreads.

> Recommended Tools > > Watching yields move in real time makes the seesaw click — [Bankrate](#) posts daily bond and CD rates so you can see prices and yields shifting together. > > FTC disclosure: The Academy may earn a commission if you sign up through these links — it keeps the free lessons free.

The quiz

Pricing Bonds — Quiz

4 questions · pass with 3 correct

  1. 1.What is the relationship between a bond's price and its yield?

  2. 2.A $1,000 bond with a 5% coupon and 10 years to maturity is bought at $950. What is its approximate yield to maturity?

  3. 3.What is a zero-coupon bond?

  4. 4.Which statement describes a premium bond?