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Bond basics

How bonds work

Face value, coupon, frequency and maturity — and how a quoted price per 100 becomes a cash amount.

16 minfoundationFree lesson

Learning objectives

  • Identify a bond's face value, coupon rate, coupon frequency and maturity
  • Calculate the coupon paid each period and the bond's full cash-flow schedule
  • Convert a price quoted per 100 of face value into a cash amount
  • Explain why a bond trades at a premium, at par or at a discount

A bond is a loan that has been turned into a tradable security. The issuer — a government, a bank or a company — borrows a fixed amount, promises to pay interest (the coupon) on set dates, and repays the amount borrowed at maturity. Investors can sell the bond to someone else at any time before then, at whatever price the market will pay.

Because the promised cash flows are fixed, everything about a bond's value comes from two questions: what exactly has been promised, and what return does the market require today for that promise? This lesson covers the first question; the rest of the track covers the second.

The terms you find in every bond's documentation:

  • Face value (par, principal): the amount repaid at maturity and the base on which coupons are calculated.
  • Coupon rate: the annual interest as a percentage of face value. It is fixed when the bond is issued, whatever happens to market rates later (floating-rate notes are a later lesson).
  • Coupon frequency: how often the coupon is paid. Many bonds pay semi-annually, so each payment is half the annual coupon; some pay annually or quarterly. In this track, coupons are semi-annual unless a bond is described otherwise.
  • Maturity date: when the face value is repaid and the bond ends.
  • Issuer and ranking: who owes the money, and whether the bond is senior or subordinated, secured or unsecured. These drive credit risk, and so the yield investors demand.
Coupons and prices

Coupon per payment = face value × coupon rate ÷ f Cash price = quoted price ÷ 100 × face value Current yield = annual coupon per 100 ÷ quoted price

f
coupon payments per year (2 for semi-annual)
Quoted price
price per 100 of face value: 98.40 means 98.40% of face
Current yield
a quick income measure; it ignores the gain or loss as the price moves to 100 at maturity

Premium, par and discount. A bond's coupon is fixed, but the return the market requires moves every day. When the required yield is above the coupon rate, the bond must trade below 100 (a discount) to offer that return. When it is below the coupon rate, buyers pay more than 100 (a premium). When they are equal, the bond trades at par, 100. As maturity approaches, the price converges to 100, because that is what will be repaid.

Calculation
Exercise 1

Calculate

You hold SAR 2,500,000 face value of a fictional bank's bond with a 4.75% coupon, paid semi-annually. How much does each coupon payment pay you (SAR)?

Concept check
Exercise 2

Check your understanding

Three fictional bonds from the same issuer mature on the same date. Investors currently require a 5.0% yield on that issuer's bonds. Which bond trades at a premium (above 100)?

Select one answer
Worksheet
Exercise 3

Challenge: a bond's cash-flow schedule

You are buying SAR 1,000,000 face value of a fictional 3-year, 5.25% semi-annual bond quoted at 99.10. Calculate the coupon per payment (B8), each payment you will receive (B11:B16, with the face value repaid alongside the last coupon), and the total cash received (B17). Then the cash price you pay (B18), the current yield (B19) and your total cash gain if you hold to maturity (B20).

0/11 cells entered · Ctrl+. jumps to the next empty cell
B8
AB
1Bond terms
2Face value held (SAR)1,000,000
3Coupon rate (annual)5.25%
4Payments per year2
5Years to maturity3
6Quoted price (per 100)99.10
7
8Coupon per payment (SAR)
9
10PaymentCash flow (SAR)
111
122
133
144
155
166
17Total cash received
18Cash price paid
19Current yield
20Total gain if held to maturity
InputYou build (dashed while empty)Given, lockedCoupon per payment (SAR)

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