Financial All versions ◉ 12 views

=YIELD()

Returns the yield on a security that pays periodic interest. Use YIELD to calculate bond yield.

Applies To: Excel for Microsoft 365Excel for Microsoft 365 for MacExcel 2024Excel 2024 for MacExcel 2021Excel 2021 for MacExcel 2019Excel 2016
=YIELD(settlement, maturity, rate, pr, redemption, frequency, [basis])
Hover argument names in the table for details.
Output typeNumber
Popularity15 / 100
VolatileNo
Dynamic ArrayNo
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◧ Arguments

ArgumentTypeRequiredDescription
settlement Date Required The security's settlement date. The security settlement date is the date after the issue date when the security is traded to the buyer.
maturity Date Required The security's maturity date. The maturity date is the date when the security expires.
rate Number Required The security's annual coupon rate.
pr Number Required The security's price per $100 face value.
redemption Number Required The security's redemption value per $100 face value.
frequency Number Required The number of coupon payments per year. For annual payments, frequency = 1; for semiannual, frequency = 2; for quarterly, frequency = 4.
basis Date Optional The type of day count basis to use. 0 or omitted = US (NASD) 30/360; 1 = Actual/actual; 2 = Actual/360; 3 = Actual/365; 4 = European 30/360.

▣ Examples

▦ Data
CellValueDescription
A2 15-Feb-08 Settlement date
A3 15-Nov-16 Maturity date
A4 5.75% Percent coupon
A5 95.04287 Price
A6 $100 Redemption value
A7 2 Frequency is semiannual (see above)
A8 0 30/360 basis (see above)
A9 15-Feb-08 Settlement date
A10 15-Nov-16 Maturity date
A11 5.75% Percent coupon
A12 95.04287 Price
A13 $100 Redemption value
A14 2 Frequency is semiannual (see above)
A15 0 30/360 basis (see above)
The yield, for the bond with the terms above (0.065 or 6.5%) =YIELD(A2,A3,A4,A5,A6,A7,A8)
Result: 6.5%

§ Remarks

  • Microsoft Excel stores dates as sequential serial numbers so they can be used in calculations. By default, January 1, 1900 is serial number 1, and January 1, 2008 is serial number 39448 because it is 39,448 days after January 1, 1900.
  • The settlement date is the date a buyer purchases a coupon, such as a bond. The maturity date is the date when a coupon expires. For example, suppose a 30-year bond is issued on January 1, 2008, and is purchased by a buyer six months later. The issue date would be January 1, 2008, the settlement date would be July 1, 2008, and the maturity date would be January 1, 2038, which is 30 years after the January 1, 2008, issue date.
  • Settlement, maturity, frequency, and basis are truncated to integers.
  • If settlement or maturity is not a valid date, YIELD returns the #VALUE! error value.
  • If rate < 0, YIELD returns the #NUM! error value.
  • If pr ≤ 0 or if redemption ≤ 0, YIELD returns the #NUM! error value.
  • If frequency is any number other than 1, 2, or 4, YIELD returns the #NUM! error value.
  • If basis < 0 or if basis > 4, YIELD returns the #NUM! error value.
  • If settlement ≥ maturity, YIELD returns the #NUM! error value.
  • If there is one coupon period or less until redemption, YIELD is calculated as follows: where: A = number of days from the beginning of the coupon period to the settlement date (accrued days). DSR = number of days from the settlement date to the redemption date. E = number of days in the coupon period.
  • If there is more than one coupon period until redemption, YIELD is calculated through a hundred iterations. The resolution uses the Newton method, based on the formula used for the function PRICE. The yield is changed until the estimated price given the yield is close to price.

✦ Tips

  • Dates should be entered by using the DATE function, or as results of other formulas or functions. For example, use DATE(2008,5,23) for the 23rd day of May, 2008. Problems can occur if dates are entered as text.
  • Microsoft Excel stores dates as sequential serial numbers so they can be used in calculations. By default, January 1, 1900 is serial number 1, and January 1, 2008 is serial number 39448 because it is 39,448 days after January 1, 1900.
  • The settlement date is the date a buyer purchases a coupon, such as a bond. The maturity date is the date when a coupon expires. For example, suppose a 30-year bond is issued on January 1, 2008, and is purchased by a buyer six months later. The issue date would be January 1, 2008, the settlement date would be July 1, 2008, and the maturity date would be January 1, 2038, which is 30 years after the January 1, 2008, issue date.
  • Settlement, maturity, frequency, and basis are truncated to integers.
  • If there is more than one coupon period until redemption, YIELD is calculated through a hundred iterations. The resolution uses the Newton method, based on the formula used for the function PRICE. The yield is changed until the estimated price given the yield is close to price.

⚠ Common Errors

#VALUE! If settlement or maturity is not a valid date, YIELD returns the #VALUE! error value.
Fix: تاریخ‌ها را با تابع DATE وارد کنید و بررسی کنید سلول‌های تاریخ واقعاً تاریخ باشند، نه متن.
#NUM! If rate < 0, YIELD returns the #NUM! error value. If pr ≤ 0 or if redemption ≤ 0, YIELD returns the #NUM! error value. If frequency is any number other than 1, 2, or 4, YIELD returns the #NUM! error value. If basis < 0 or if basis > 4, YIELD returns the #NUM! error value. If settlement ≥ maturity, YIELD returns the #NUM! error value.
Fix: Check the order of the dates and the input values

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