Treasury Regulations · 26 CFR
§ 1.148-4. Yield on an issue of bonds.
Regulation text, no changes From the eCFR, current as of October 15, 2026. The eCFR is an authoritative but unofficial editorial compilation of the Code of Federal Regulations; the official text is the annual CFR on govinfo. Compare it with this section on ecfr.gov (external site) or the official annual CFR on govinfo (external site).
Regulation under 26 U.S.C. § 148
Cite as 26 CFR § 1.148-4
At a glance
Read from the text and its source citation. Not part of the regulation.
- Status
- In the current eCFR
- Issued
- June 18, 1993 by T.D. 8476
- Last amended
- April 3, 2018
- Issued under
- 26 U.S.C. § 148
- Length
- 10,009 words · about 44 min to read
- Defines
- 1 term
- Cross-references
- cites 3 Code sections and 8 regulations; cited by 13
No early call—(i) Facts. On January 1, 1994, City A issues an issue consisting of four identical fixed yield bonds. The stated final maturity date of each bond is January 1, 2004, and no bond is subject to redemption before this date. Interest is payable on January 1 of each year at a rate of 6.0000 percent per year on the outstanding principal amount. The total stated principal amount of the bonds is $20 million. The issue price of the bonds $20,060,000.
(ii) Computation. The yield on the issue is computed by treating the bonds as retired at the stated maturity under the general rule of § 1.148-4(b)(1). The bonds are treated as redeemed for their stated redemption prices. The yield on the issue is 5.8731 percent per year compounded semiannually, computed as follows:
| Date | Payments | PV (5.8731 percent) |
|---|---|---|
| 1/1/1995 | $1,200,000 | $1,132,510 |
| 1/1/1996 | 1,200,000 | 1,068,816 |
| 1/1/1997 | 1,200,000 | 1,008,704 |
| 1/1/1998 | 1,200,000 | 951,973 |
| 1/1/1999 | 1,200,000 | 898,433 |
| 1/1/2000 | 1,200,000 | 847,903 |
| 1/1/2001 | 1,200,000 | 800,216 |
| 1/1/2002 | 1,200,000 | 755,210 |
| 1/1/2003 | 1,200,000 | 712,736 |
| 1/1/2004 | 21,200,000 | 11,883,498 |
| 20,060,000 |
(i) Facts. The facts are the same as in Example 1. In this case, however, the bonds are subject to mandatory sinking fund redemption on January 1 of each year, beginning January 1, 2001. On each sinking fund redemption date, one of the bonds is chosen by lottery and is required to be redeemed at par plus accrued interest.
(ii) Computation. Because the bonds are subject to specified redemptions, yield on the issue is computed by treating the bonds as redeemed in accordance with the redemption schedule under § 1.148-4(b)(2)(ii). Because the bonds are not sold at a discount, the bonds are treated as retired at their stated redemption prices. The yield on the issue is 5.8678 percent per year compounded semiannually, computed as follows:
| Date | Payments | PV (5.8678 percent) |
|---|---|---|
| 1/1/1995 | $1,200,000 | $1,132,569 |
| 1/1/1996 | 1,200,000 | 1,068,926 |
| 1/1/1997 | 1,200,000 | 1,008,860 |
| 1/1/1998 | 1,200,000 | 952,169 |
| 1/1/1999 | 1,200,000 | 898,664 |
| 1/1/2000 | 1,200,000 | 848,166 |
| 1/1/2001 | 6,200,000 | 4,135,942 |
| 1/1/2002 | 5,900,000 | 3,714,650 |
| 1/1/2003 | 5,600,000 | 3,327,647 |
| 1/1/2004 | 5,300,000 | 2,972,407 |
| $20,060,000 |
(i) Facts. On January 1, 1994, City C issues an issue consisting of three bonds. Each bond has a stated principal amount of $10 million dollars and is issued for par. Bond X bears interest at 5 percent per year and matures on January 1, 1999. BondY bears interest at 6 percent per year and matures on January 1, 2002. Bond Z bears interest at 7 percent per year and matures on January 1, 2004. Bonds Y and Z are callable by the issuer at par plus accrued interest after December 31, 1998.
(ii) Computation. (A) The yield on the issue computed as if each bond is outstanding to its maturity is 6.0834 percent per year compounded semiannually, computed as follows:
| Date | Payments | PV (6.0834 percent) |
|---|---|---|
| 1/1/1995 | $1,800,000 | $1,695,299 |
| 1/1/1996 | 1,800,000 | 1,596,689 |
| 1/1/1997 | 1,800,000 | 1,503,814 |
| 1/1/1998 | 1,800,000 | 1,416,342 |
| 1/1/1999 | 11,800,000 | 8,744,830 |
| 1/1/2000 | 1,300,000 | 907,374 |
| 1/1/2001 | 1,300,000 | 854,595 |
| 1/1/2002 | 11,300,000 | 6,996,316 |
| 1/1/2003 | 700,000 | 408,190 |
| 1/1/2004 | 10,700,000 | 5,876,551 |
| 30,000,000 |
(B) The yield on the issue computed as if all bonds are called at the earliest date for redemption is 5.9126 percent per year compounded semiannually, computed as follows:
| Date | Payments | PV (5.9126 percent) |
|---|---|---|
| 1/1/1995 | $1,800,000 | $1,698,113 |
| 1/1/1996 | 1,800,000 | 1,601,994 |
| 1/1/1997 | 1,800,000 | 1,511,315 |
| 1/1/1998 | 1,800,000 | 1,425,769 |
| 1/1/1999 | 31,800,000 | 23,762,809 |
| 30,000,000 |
(C) Because the yield on the issue computed by assuming all bonds in the issue subject to redemption within 5 years of the issue date are redeemed at maturity is more than one-eighth of one percentage point higher than the yield on the issue computed by assuming all bonds subject to optional redemption within 5 years of the issue date are redeemed at the earliest date for their redemption, each bond is treated as redeemed on the date that would produce the lowest yield for the issue. The lowest yield on the issue would result from a redemption of all the bonds on January 1, 1999. Thus, the yield on the issue is 5.9126 percent per year compounded semiannually.
On January 1, 1994, City A issues an issue of identical plain par bonds in an aggregate principal amount of $1,000,000. The bonds pay interest at a variable rate on each June 1 throughout the term of the issue. The entire principal amount of the bonds plus accrued, unpaid interest is payable on the final maturity date of January 1, 2000. No bond year is selected. On June 1, 1994, 1995, 1996, 1997, and 1998, interest in the amounts of $30,000, $55,000, $57,000, $56,000, and $45,000 is paid on the bonds. From June 1, 1998, to January 1, 1999, $30,000 of interest accrues on the bonds. From January 1, 1999, to June 1, 1999, another $35,000 of interest accrues. On June 1, 1999, the issuer actually pays $65,000 of interest. On January 1, 2000, $1,000,000 of principal and $38,000 of accrued interest are paid. The payments for the computation period starting on the issue date and ending on January 1, 1999, include all annual interest payments paid from the issue date to June 1, 1998. Because the issue is outstanding on January 1, 1999, it is treated as redeemed on that date for amount equal to its value ($1,000,000 plus accrued, unpaid interest of $30,000 under paragraph (e)(1) of this section). Thus, $1,030,000 is treated as paid on January 1, 1999. The issue is then treated as reissued on January 1, 1999, for $1,030,000. The payments for the next computation period starting on January 1, 1999, and ending on January 1, 2000, include the interest actually paid on the bonds during that period ($65,000 on June 1, 1999, plus $38,000 paid on January 1, 2000). Because the issue was actually redeemed on January 1, 2000, an amount equal to its stated redemption price is also treated as paid on January 1, 2000.
[T.D. 8476, 58 FR 33524, June 18, 1993; 58 FR 44452, Aug. 23, 1993, as amended by T.D. 8538, 59 FR 24042, May 10, 1994; T.D. 8718, 62 FR 25507, May 9, 1997; T.D. 8838, 64 FR 48547, Sept. 7, 1999; T.D. 9777, 81 FR 46593, July 18, 2016; 83 FR 14175, Apr. 3, 2018]
Terms defined here
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Cross-references
Computed from the citations in the text of 26 CFR.
Code sections it cites
- § 148 Arbitrage
- § 143 Mortgage revenue bonds: qualified mortgage bond and qualified veterans’ mortgage bond
- § 1001 Determination of amount of and recognition of gain or loss
Regulations it cites
- § 1.148-2 General arbitrage yield restriction rules.
- § 1.148-3 General arbitrage rebate rules.
- § 1.148-6 General allocation and accounting rules.
- § 1.446-3 Notional principal contracts.
- § 1.1275-5 Variable rate debt instruments.
- § 1.1275-4 Contingent payment debt instruments.
- § 1.1275-7 Inflation-indexed debt instruments.
- § 1.446-4 Hedging transactions.
Cited by 13 other regulations
- § 1.141-4 Private security or payment test.
- § 1.141-13 Refunding issues.
- § 1.148-0 Scope and table of contents.
- § 1.148-1 Definitions and elections.
- § 1.148-2 General arbitrage yield restriction rules.
- § 1.148-5 Yield and valuation of investments.
- § 1.148-6 General allocation and accounting rules.
- § 1.148-11 Effective/applicability dates.
- § 1.150-1 Definitions.
- § 1.148-11A Effective dates.
- § 1.446-4 Hedging transactions.
- § 1.1001-6 Transition from certain interbank offered rates.
- § 1.1397E-1 Qualified zone academy bonds.
Amendment history
From the source citation at the end of the section, newest first. T.D. is a Treasury decision; FR is the Federal Register.
- Amended (83 FR 14175)
- Amended by T.D. 9777 (81 FR 46593)
- Amended by T.D. 8838 (64 FR 48547)
- Amended by T.D. 8718 (62 FR 25507)
- Amended by T.D. 8538 (59 FR 24042)
- Amended (58 FR 44452)
- Issued by T.D. 8476 (58 FR 33524)
Where it sits in 26 CFR
- Subchapter A Income tax
- Part 1 Income taxes
- Tax Exemption Requirements for State and Local Bonds
Nearby sections
- § 1.148-0 Scope and table of contents.
- § 1.148-1 Definitions and elections.
- § 1.148-2 General arbitrage yield restriction rules.
- § 1.148-3 General arbitrage rebate rules.
- § 1.148-4 Yield on an issue of bonds.
- § 1.148-5 Yield and valuation of investments.
- § 1.148-6 General allocation and accounting rules.
- § 1.148-7 Spending exceptions to the rebate requirement.
- § 1.148-8 Small issuer exception to rebate requirement.