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Gilts: linkers and sukuk and perpetuals and floaters

Julian D. A. Wiseman

Abstract: static details of non-conventional gilts: index-linked with 3-month and 8-month lags; ‘perpetuals’; floating-rate; and variable-rate.

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Publication history: only at www.jdawiseman.com/papers/finmkts/papers/gilt_statics_non-conventionals.html. Usual disclaimer and copyright terms apply.

Contents: • Introduction; • Canadian-style Index-Linked Gilts, with three-month lag; • Old-style Index-Linked Gilts, with eight-month lag; • The ‘Perpetuals’; • Floating-Rate Gilts; • Variable-Rate Gilts.

Also see details about conventional gilts.


Introduction

As a gilt analyst I collected data on gilts, some of which is still not widely available, so is being published here. Much of the gathered data is about conventionals, which can be found at www.jdawiseman.com/papers/finmkts/gilt_statics.html. This page holds data relating to the index-linked gilts (both three-month and eight-month), perpetuals, floating-rate gilts, and variable-rate gilts.

Most of the fields/columns have the same meaning as those in www.jdawiseman.com/papers/finmkts/gilt_statics.html, wherein descriptions can be found.

Canadian-style Index-Linked Gilts, with three-month lag

In Sep 2001 the DMO consulted “on whether to adopt a new design for new issues of index-linked gilts”. JDAW’s reply advised against; and in January 2002 the DMO concurred. Then in Dec 2004 the DMO consulted about ultra-long gilts (JDAW’s reply), announcing (not consulting) that:

The DMO is also taking the opportunity to introduce a new indexation structure into any new index-linked gilts issued from 2005-06. Specifically, any new index-linked gilt issued from 2005-06 will use a three as opposed to the current eight-month indexation lag to the RPI. This reflects the adoption of a three-month lag as current international best practice. … Note that the DMO does not intend to introduce a deflation floor. The introduction of any new three-month lag index-linked gilts from 2005-06 does not mean that current eight-month lag index-linked gilts cannot be re-opened.

It happens that, in January 2004 the LSE switched from numeric Sᴇᴅᴏʟs to alphanumeric Sᴇᴅᴏʟs. So, for all ILGs with an eight-month lag, characters 3–12 of the ISIN are numeric; for all ILGs with a three-month lag character 5 of the ISIN is ‘B’.

A comment on coupons not being zero: the many small payments entail some small administration cost. But those same payments allow tracing of missing holders. If a natural owner dies, or a corporate owner is wound up, with a zero coupon bond this might not be discovered until an attempt is made to pay the principal, perhaps decades later. With a positive coupon the failed payment would be discovered within half a year, soon enough for there to be a good chance of finding the successor owner. This seems sensible. But observe that zero-coupon conventionals are issued by Germany (0% 15 Aug 2050), Switzerland (0% 24 July 2039), and others. Further this argument would obviously fail for long-dated strips.

Coupon: the coupons of index-linked gilts, both 3- and 8-monthers, are integer multiples of ⅛%. Even large coupons have been rounded to 12½ basis points: e.g., 4⅛% 30s, 4⅜% 04s, 4⅝% 98s, as well as 1⅞% 22s. Coupons have always been strictly positive, so ≥ 0⅛%, even with very negative real yields.

First coupon amount: real first coupon amounts are not rounded, and are shown in a format that can be copy-pasted into Excel. Cash first coupon amounts are rounded “to six places of decimals”.

Short
Name
Cpn Maturity Base index First
settle date
First
coupon date
First coupon, real Orig.
term
Formal name ISIN,
FIGI
Notes
73s 0.125 22 Mar 2073 308.32 24 Nov 2021 22 Mar 2022 =(0.125/2)*(118/181) 51.32 0⅛% Index-linked Treasury Gilt 2073 GB00BM8Z2W66
BBG013FHV1K9
68s 0.125 22 Mar 2068 249.7 25 Sep 2013 22 Mar 2014 =(0.125/2)*(178/181) 54.49 0⅛% Index-linked Treasury Gilt 2068 GB00BDX8CX86
BBG0057VMB12

68s was longest linker from issue until Nov 2021 when 73s was issued, the previous longest having been 62s.

68s, on 09 Oct 2013, had a modified duration of 52.78 years, perhaps a record for a gov’t bond.

65s 0.125 22 Nov 2065 260.43448 24 Feb 2016 22 May 2016 =(0.125/2)*(88/182) 49.74 0⅛% Index-linked Treasury Gilt 2065 GB00BD9MZZ71
BBG00C63FZY9
62s 0.375 22 Mar 2062 235.82903 26 Oct 2011 22 Mar 2012 =(0.375/2)*(148/182) 50.41 0⅜% Index-linked Treasury Gilt 2062 GB00B4PTCY75
BBG0025LSRV9

62s was longest linker from issue until Sep 2013 when 68s was issued, the previous longest having been 55s.

58s 0.125 22 Mar 2058 255.8871 30 July 2014 22 Mar 2015 =(0.125/2)*(1+54/184) 43.64 0⅛% Index-linked Treasury Gilt 2058 GB00BP9DLZ64
BBG006T1F9W1
58s, syndication result on 29 July 2014: “a negative real yield for the first time in a DMO index-linked gilt syndication.”
56s 0.125 22 Nov 2056 264.88333 30 Nov 2016 22 May 2017 =(0.125/2)*(173/181) 39.98 0⅛% Index-linked Treasury Gilt 2056 GB00BYVP4K94
BBG00FBHPV82
55s 1.250 22 Nov 2055 192.2 23 Sep 2005 22 May 2006 =(1.25/2)*(1+60/184) 50.16 1¼% Index-linked Treasury Gilt 2055 GB00B0CNHZ09
BBG0000BHW05

55s is the first-issued of the Canadian-style UK ‘linkers’ and hence first of the ILGs paying 22May/Nov (pre-announcement, announcement); the first named Index-linked Treasury Gilt rather than Index-linked Treasury Stock; and the first linker with a non-numeric Sᴇᴅᴏʟ (not counting the temporary Sᴇᴅᴏʟs of reopenings).

55s was longest linker from issue until Oct 2011 when 62s was issued, the previous longest having been the 8-monther 35s.

54s 1.250 22 Nov 2054 •••.•••••• 13 Mar 2024 22 May 2024 =(1.25/2)*(70/182) 30.69 1¼% Index-linked Treasury Gilt 2054 GB00BPSNBG80
BBG01LQG9623
52s 0.250 22 Mar 2052 242.05 26 Sep 2012 22 Mar 2013 =(0.25/2)*(177/181) 39.49 0¼% Index-linked Treasury Gilt 2052 GB00B73ZYW09
BBG003DDJJ99
51s 0.125 22 Mar 2051 294.11071 10 Feb 2021 22 Sep 2021 =(0.125/2)*(1+40/181) 30.11 0⅛% Index-linked Treasury Gilt 2051 GB00BNNGP882
BBG00Z0Y5WF5
50s 0.500 22 Mar 2050 213.4 25 Sep 2009 22 Mar 2010 =(0.5/2)*(178/181) 40.49 0½% Index-linked Treasury Gilt 2050 GB00B421JZ66
BBG0000NBYJ1
The first to be issued of the ILGs paying 22Mar/Sep (announcement).
48s 0.125 10 Aug 2048 274.79333 08 Nov 2017 10 Feb 2018 =(0.125/2)*(94/184) 30.76 0⅛% Index-linked Treasury Gilt 2048 GB00BZ13DV40
BBG00J2D03W5
The first to be issued of the ILGs paying 10Feb/Aug (announcement).
47s 0.750 22 Nov 2047 207.76667 21 Nov 2007 22 May 2008 =(0.75/2)*(1+1/184) 40.00 0¾% Index-linked Treasury Gilt 2047 GB00B24FFM16
BBG0000L4515
46s 0.125 22 Mar 2046 257.79 24 June 2015 22 Sep 2015 =(0.125/2)*(90/184) 30.74 0⅛% Index-linked Treasury Gilt 2046 GB00BYMWG366
BBG009CQDGT8
45s 0.625 22 Mar 2045 363.94 27 Apr 2023 22 Sep 2023 =(0.625/2)*(148/184) 21.90 0⅝% Index-linked Treasury Gilt 2045 GB00BMF9LH90
BBG01G6SV4F6
44s 0.125 22 Mar 2044 242.42258 25 July 2012 22 Mar 2013 =(0.125/2)*(1+59/184) 31.66 0⅛% Index-linked Treasury Gilt 2044 GB00B7RN0G65
BBG0036PB7W8
42s 0.625 22 Nov 2042 212.46452 24 July 2009 22 Nov 2009 =(0.625/2)*(121/184) 33.33 0⅝% Index-linked Treasury Gilt 2042 GB00B3MYD345
BBG0000G0PJ7
41s 0.125 10 Aug 2041 280.05484 12 July 2018 10 Feb 2019 =(0.125/2)*(1+29/181) 23.08 0⅛% Index-linked Treasury Gilt 2041 GB00BGDYHF49
BBG00L991NQ4
40s 0.625 22 Mar 2040 216.52258 28 Jan 2010 22 Sep 2010 =(0.625/2)*(1+53/181) 30.15 0⅝% Index-linked Treasury Gilt 2040 GB00B3LZBF68
BBG0000GW3R2
39s 0.125 22 Mar 2039 296.72581 26 May 2021 22 Sep 2021 =(0.125/2)*(119/184) 17.82 0⅛% Index-linked Treasury Gilt 2039 GB00BLH38265
BBG010WR4WB6
37s 1.125 22 Nov 2037 202.24286 21 Feb 2007 22 May 2007 =(1.125/2)*(90/181) 30.75 1⅛% Index-linked Treasury Gilt 2037 GB00B1L6W962
BBG0000GRYH1
36s 0.125 22 Nov 2036 260.01935 11 Mar 2016 22 May 2016 =(0.125/2)*(72/182) 20.70 0⅛% Index-linked Treasury Gilt 2036 GB00BYZW3J87
BBG00CCP0450
34s 0.750 22 Mar 2034 232.22903 25 May 2011 22 Sep 2011 =(0.75/2)*(120/184) 22.83 0¾% Index-linked Treasury Gilt 2034 GB00B46CGH68
BBG001PNKYF6
33s 0.750 22 Nov 2033 372.24 28 June 2023 22 Nov 2023 =(0.75/2)*(147/184) 10.40 0¾% Index-linked Treasury Gilt 2033 GB00BMF9LJ15
BBG01H3VNM32
32s 1.250 22 Nov 2032 217.13226 29 Oct 2008 22 May 2009 =(1.25/2)*(1+24/184) 24.06 1¼% Index-linked Treasury Gilt 2032 GB00B3D4VD98
BBG0000VN0M0
31s 0.125 10 Aug 2031 293.60323 28 Jan 2021 10 Aug 2021 =(0.125/2)*(1+13/184) 10.53 0⅛% Index-linked Treasury Gilt 2031 GB00BNNGP551
BBG00YZD3PJ9
29s 0.125 22 Mar 2029 237.42 23 Nov 2011 22 Mar 2012 =(0.125/2)*(120/182) 17.33 0⅛% Index-linked Treasury Gilt 2029 GB00B3Y1JG82
BBG002802G17
28s 0.125 10 Aug 2028 279.23333 21 June 2018 10 Feb 2019 =(0.125/2)*(1+50/181) 10.14 0⅛% Index-linked Treasury Gilt 2028 GB00BZ1NTB69
BBG00L4P50W2
27s 1.250 22 Nov 2027 194.06667 26 Apr 2006 22 Nov 2006 =(1.25/2)*(1+26/181) 21.57 1¼% Index-linked Treasury Gilt 2027 GB00B128DH60
BBG0000C61W8
26s 0.125 22 Mar 2026 258.24194 16 July 2015 22 Sep 2015 =(0.125/2)*(68/184) 10.68 0⅛% Index-linked Treasury Gilt 2026 GB00BYY5F144
BBG009KCJHC0
New 24s 0.125 22 Mar 2024 242.41935 12 Oct 2012 22 Mar 2013 =(0.125/2)*(161/181) 11.44 0⅛% Index-linked Treasury Gilt 2024 GB00B85SFQ54
BBG003G3FFD5

New 24s, on 11 April 2013 was the first gilt to be auctioned at a real yield below negative one percent, indeed at −1.262%.

Principal payment at maturity = £156.061000 per £100.

22s 1.875 22 Nov 2022 205.65806 11 July 2007 22 Nov 2007 =(1.875/2)*(134/184) 15.36 1⅞% Index-linked Treasury Gilt 2022 GB00B1Z5HQ14
BBG0000CDS24

22s, on 23 Aug 2011, was the first gilt to be auctioned at a negative yield (albeit a negative real yield).

Principal payment at maturity = £168.668000 per £100.

19s 0.125 22 Nov 2019 249.80645 21 Aug 2013 22 Nov 2013 =(0.125/2)*(93/184) 6.25 0⅛% Index-linked Treasury Gilt 2019 GB00BBDR7T29
BBG0053D1Q98
Principal payment at maturity = £116.574000 per £100.
17s 1.250 22 Nov 2017 193.725 08 Feb 2006 22 May 2006 =(1.25/2)*(103/181) 11.79 1¼% Index-linked Treasury Gilt 2017 GB00B0V3WQ75
BBG0000BPHW4
Principal payment at maturity = £141.943000 per £100 (the first principal amount for which the DMO was the calculation agent).

Old-style Index-Linked Gilts, with eight-month lag

The introduction of inflation-linked securities was announced in the Budget Speech on 10 March 1981. Further explanation was published in May 1981. This was to be the first large inflation-linked government debt market.

These old-style ILGs have payments with an eight-month lag: the nominal÷real factor is the RPI eight months before the month of payment divided by the RPI eight months before the month of first issue. The eight-month lag ensures that the £ value of a coupon is known before the start of that coupon period, which can then be used for the calculation of accrued interest. However, in January 1987 the RPI was re-based from 394.5 to 100, so some base indices are re-based with a “/3.945”. Prices are quoted nominal.

Nominal payments are rounded: initially to the nearest penny per £100; for ILGs issued after Feb 1982 (so starting with 88s) the number of decimal places was upped to 4; and for the 35s only to 6 decimal places. This is in the “D.P.” column.

For 8-month ILGs issued ≤1992, so for those up to 30s, a change “to the coverage or the basic calculation of the Index … which would be materially detrimental to stockholders” would give holders a right to put the gilt back to HMT at inflation-adjusted par. But for 35s, and similarly for the 3-monthers, the index could be replaced with another index that “continues the function of measuring changes in the level of UK retail prices”.

Short
Name
Cpn Maturity Base index D.P. First
settle date
First
coupon date
First cpn
amount
Orig.
term
Formal name ISIN,
FIGI
Notes
35s 2.000 26 Jan 2035 173.6 6 10 July 2002 26 Jan 2003 1.099091 32.54 2% Index-Linked Treasury Stock 2035 GB0031790826
BBG0000423Y4

35s was the last-issued of the UK ‘linkers’ with an eight-month lag; the last to be named Index-linked Treasury Stock rather than Index-linked Treasury Gilt; and the last with a numeric Sᴇᴅᴏʟ. It is the only eight-month linker for which payments are rounded to six decimal places; the only for which the calculation agent is the DMO rather than the BoE; and the only of which the first coupon was computed with the post-1998 Act/Act formula.

35s was also the only 8-monther for which the index could be replaced with another index that “continues the function of measuring changes in the level of UK retail prices”, without giving holders a right to put the gilt back to HMT at inflation-adjusted par.

Unusual details: Methodology for calculating the first dividend payment and the accrued interest for 2% Index-linked Treasury Stock 2035.

The auction of 35s on 25 Sep 2002 was uncovered: £900m for sale; £853.12m bids received; 0.95× covered: “The unallocated part of the amount on offer at this auction is being held in official portfolios.” Needless danger: there is a solution.

30s 4.125 22 July 2030 135.1 4 16 June 1992 22 Jan 1993 2.6102 38.10 4⅛% Index-Linked Treasury Stock 2030 GB0008932666
BBG00001FPJ4

Of the gilts of which the first coupon was computed with the old Act/365 formula, 30s will be the last to mature (preceded by 6%28).

The auction of 30s on 28 Apr 1999 was uncovered: £500m for sale; £470.3m bids received; 0.94× covered: “The unallotted part of the amount on offer at the auction is being held in official portfolios. It will not be made available to the market at a price below the striking price for a period of at least two-months.” Needless danger: there is a solution.

Old 24s 2.500 17 July 2024 =385.3/3.945 4 31 Dec 1986 17 July 1987 1.1809 37.55 2½% Index-Linked Treasury Stock 2024 GB0008983024
BBG00000KDS7

Principal payment at maturity = £386.3089 per £100 ≈ 100 × 377.3 × 3.945/385.3 ≈ 386.30898, which was then, per ¶12 of the prospectus, “… to four places of decimals rounded to the nearest figure below”.

20s 2.500 16 Apr 2020 =327.3/3.945 4 12 Oct 1983 16 Apr 1984 1.1138 36.51 2½% Index-Linked Treasury Stock 2020 GB0009081828
BBG00000KDR8

Of the gilts issued before 29 May 1985, linker 20s was the last to mature (preceded by 16s).

Principal payment at maturity = £351.5907 per £100 ≈ 100 × 291.7 × 3.945/327.3.

16s 2.500 26 July 2016 =322/3.945 4 19 Jan 1983 26 July 1983 1.0911 33.52 2½% Index-Linked Treasury Stock 2016 GB0009075325
BBG00000KDQ9

Of the gilts issued before 29 May 1985, linker 16s was the second-last to mature (followed by 20s).

Principal payment at maturity = £318.2953 per £100.

13s 2.500 16 Aug 2013 =351.9/3.945 4 21 Feb 1985 16 Aug 1985 1.228 28.49 2½% Index-Linked Treasury Stock 2013 GB0009036715
BBG00000KDP0
Principal payment at maturity = £276.6768 per £100.
11s 2.500 23 Aug 2011 =294.1/3.945 2 28 Jan 1982 23 Aug 1982 1.26 29.57 2½% Index-Linked Treasury Stock 2011 GB0009063578
BBG00000KDN2
Principal payment at maturity = £306.37 per £100.
09s 2.500 20 May 2009 =310.7/3.945 4 19 Oct 1982 20 May 1983 1.5161 26.59 2½% Index-Linked Treasury Stock 2009 GB0009071563
BBG00081MWT2
Principal payment at maturity = £277.3054 per £100.
06s 2.000 19 July 2006 =274.1/3.945 2 08 July 1981 19 Jan 1982 0.92 25.03 2% Index-Linked Treasury Stock 2006 GB0009061317
BBG00072MKQ0

On 19 July 2001 £½bn 06s switch-auctioned into 16s: announcement; memorandum; result.

Principal payment at maturity = £278.63 per £100.

04s 4.375 21 Oct 2004 135.6 4 23 Sep 1992 21 Apr 1993 1.8017 12.08 4⅜% Index-Linked Treasury Stock 2004 GB0009982686
BBG0006J7R22

It used to be that re-openings of gilts did not have a “Re-opening Prospectus”. The first to do so was 04s, in Aug 1998.

Principal payment at maturity = £135.5457 per £100.

03s 2.500 20 May 2003 =310.7/3.945 4 27 Oct 1982 20 May 1983 1.4592 20.56 2½% Index-Linked Treasury Stock 2003 GB0009066365
BBG00066HZH5
Principal payment at maturity = £225.5011 per £100.
01s 2.500 24 Sep 2001 =308.8/3.945 4 26 Aug 1982 24 Mar 1983 19.08 2½% Index-Linked Treasury Stock 2001 GB0009065391
BBG000K2LKC1
Principal payment at maturity = £218.5846 per £100.
99s 2.500 22 Nov 1999 =322.9/3.945 4 04 May 1983 22 Nov 1983 1.206 16.55 2½% Index-Linked Treasury
Convertible Stock 1999
GB0009074575
BBG0004T89N8

Nickname = “Maggie Mays”, because convertible into 10Q99. And almost all converted, because Maggie did.

Principal payment at maturity = £200.4876 per £100 (the BoE press release containing a titling error).

98s 4.625 27 Apr 1998 135.6 4 21 Sep 1992 27 Apr 1993 2.2448 5.60 4⅝% Index-Linked Treasury Stock 1998 GB0009982579
BBG0003K0P32
Principal payment at maturity = £116.8879 per £100.
96s 2.000 16 Sep 1996 =267.9/3.945 2 27 Mar 1981 16 Sep 1981 0.8 15.47 2% Index-Linked Treasury Stock 1996 GB0009056556
BBG00039CGB5

The first-issued UK ‘linker’. And the joys of inefficient markets! According to the BoE Quarterly Bulletin, June 1981, p176, bidding was in multiples of 25 pence (≈ 1.88bp), and prices bid ranged from ≤£89¾ (real yield≈2.76%) to ≥£130 (≈−0.3bp). It was issued at par, suggesting that the BoE also didn’t know the right price. Which suggests that this auction should have been a syndication (in the author’s opinion, the only post-WW2 sale which should have been a syndication).

Re bidding resolution, I have argued that it now should be “at least as fine as 0.1¢ or an eighth of a thirty-second”.

Principal payment at maturity = £221.17 per £100.

94s 2.000 16 May 1994 102.9 4 02 June 1988 5.96 2% Index-Linked Treasury Stock 1994 GB0009079632
Principal payment at maturity = £137.9008 per £100.
92s 2.000 23 Mar 1992 =385.8/3.945 4 18 Feb 1987 23 Sep 1987 5.10 2% Index-Linked Treasury Stock 1992 GB0009077925
Principal payment at maturity = £136.8172 per £100.
90s 2.000 25 Jan 1990 =333.9/3.945 4 05 Jan 1984 25 July 1984 1.1333 6.06 2% Index-Linked Treasury Stock 1990 GB0009095943

A prospectus dated 29 Dec 1983 was published in The Times of 02 Jan 1984. Principal payment at maturity = £135.8715 per £100.

88s 2.000 30 Mar 1988 =297.1/3.945 4 19 Mar 1982 30 Sep 1982 0.9996 6.03 2% Index-Linked Treasury Stock 1988 GB0009062166

A prospectus dated 09 Mar 1982 was published in The Times of 11 Mar 1982. Principal payment at maturity = £135.1736 per £100.

Sukuk

Wikipedia says that “Sukuk are "securities of equal denomination representing individual ownership interests in a portfolio of eligible existing or future assets."”. The UK’s process started in Nov 2007 with a consultation, Government sterling sukuk issuance, the June 2008 response saying:

The Government’s objectives for Islamic finance are to:

There was then a long gap, with an occasional comment such as that in Jan 2011: ‘The Government had reviewed the case for the issuance of sovereign sukuk. The Government had decided not to issue sovereign sukuk because it was judged not to provide value for money for the Exchequer but it would keep the situation under review.” Finally, the first was issued in 2014, the second in 2021.

UK sukuk “use the commonly used Al-Ijara structure”, which is explained on IslamicMarkets.com.

Maturity Profit
rate
First
settle date
First
Dist’n date
Orig.
term
ISIN,
FIGI
Notes
22 July 2026 0.333 01 Apr 2021 22 July 2021 5.31 XS2317288996
BBG00ZS048H1

Planning for this had started in late 2019 (invitation to tender, 26 Sep 2019; appointment of legal advisors, 11 Nov 2019), but was likely delayed by COVID.

HMT press notice of 25 Mar 2021: UK bolsters Islamic finance offering with second Sukuk.

22 July 2019 2.036 02 July 2014 22 Jan 2015 5.05 XS1079249816
BBG006N6MBX2
No obvious press statement on issue. A few weeks before, on 12 June 2014, there had been Britain set to become first western nation to issue a sovereign Islamic bond. Shortly after the transaction it was mentioned in the FT: UK sukuk bond sale attracts £2bn in orders.

The ‘Perpetuals’

Much funding used to be via callable gilt-edged securities with no final maturity date. Income, and more income, and no promise of ever seeing the principal. Some could be redeemed only by Parliament, which delegated this power to the DMO in the Finance Act 2015, s.124 (see announcement in §A.1 on p93 of the Autumn Statement 2014, and explanatory notes for the legislation). All the perpetuals were redeemed during 2015. The following table draws heavily on (and adds to) pp23–24 of the DMO Annual Review 2014–15.

Formal name Amount in
issue at
redemption
Dividend
dates
First
settle date
First
call date
Redeemed
(announced)
ISIN,
FIGI
Notes
4% Consolidated Loan (1957 or after) 218.4 1 Feb/Aug 19 Jan 1927 01 Feb 1957 1 Feb 2015
(31 Oct 2014)
GB0002163466
BBG00000KF66
Issued for cash and in exchange for 5% Treasury Bonds 1927, 4% National War Bonds 1927, 5% National War Bonds 1927, 5% Treasury Bonds 1933–1935, 4½% Treasury Bonds 1932–1934 and 4½% Treasury Bonds 1930–1932.
3½% War Loan (1952 or after) 1938.6 1 Jun/Dec 01 Dec 1932 01 Dec 1952 9 Mar 2015
(03 Dec 2014)
GB0009386284
BBG00000KF57

Issued in exchange for 5% War Loan 1929–1947 (wherein are links to discussion). See the London Gazettes of 30 June 1932 and 12 July 1932, and the Edinburgh Gazette of 05 July 1932.

The National Debt Act 1972, s.13, is entitled “Provision as to 3½% War Loan”, and says “The principal of and interest on 3½% War Loan, and any expenses incurred in connection with the redemption thereof, shall be charged on the National Loans Fund with recourse to the Consolidated Fund.” Presumably it had previously been a charge on a different account: explanation welcomed.

The shortest Bloomberg ticker for 3½% War Loan was ZZ2036940 Govt.

Also see Jeremy Wormell’s letter to the Financial Times published 19 Mar 2012.

3½% Conversion Loan (1961 or after) 15.6 1 Apr/Oct 01 Apr 1921 01 Apr 1961 1 Apr 2015
(17 Dec 2014)
GB0002212099
BBG00000KF48

Issued in exchange for 5% National War Bonds 1922, 1923 (Apr and Sep), 1924 (Feb and Oct),1925 (Apr and Sept). Had an active sinking fund.

The shortest Bloomberg ticker for 3½% Conversion was ZZ2036932 Govt.

3% Treasury Stock (1966 or after) 34.6 1 Apr/Oct 01 Mar 1946 05 Apr 1966 8 May 2015
(06 Feb 2015)
GB0009031211
BBG00000KF20
Issued in exchange for Bank Stock in accordance with the provisions of the Bank of England Act 1946.
2¾% Annuities 0.7 5 Jan/Apr/Jul/Oct 17 Oct 1884 05 Jan 1905 5 July 2015
(27 Mar 2015)
GB0000436294
BBG000022GR7
Issued by exchange for New 3% Annuities, Reduced 3% Annuities and Consolidated 3% Annuities, as detailed in the The London Gazette, 8 Aug 1884, pp3573-4.
2½% Treasury Stock (1975 or after) 220.9 1 Apr/Oct 28 Oct 1946 01 Apr 1975 5 July 2015
(27 Mar 2015)
GB0009031096
BBG00000KDV3

Issued for cash.

The shortest Bloomberg ticker for 2½% Treasury was ZZ2036973 Govt.

2½% Consolidated Stock (1923 or after) 162.1 5 Jan/Apr/Jul/Oct 5 Apr 1888 05 Apr 1923 5 July 2015
(27 Mar 2015)
GB0002163805
BBG00000KDT6

Issued in exchange for Consolidated 3% Annuities (1752), Reduced 3% Annuities (1752) and New 3% Annuities (1855).

The shortest Bloomberg ticker for 2½% Consols was ZZ2036965 Govt.

2½% Annuities 0.9 5 Jan/Apr/Jul/Oct 13 Jun 1853 05 Jan 1905 5 July 2015
(27 Mar 2015)
GB0000436070
BBG000022GQ8

Issued in exchange for South Sea Stock, Old South Sea 3% Annuities, New South Sea 3% Annuities, Bank 3% Annuities (1726) and 3% Annuities (1751).

The shortest Bloomberg ticker for 2½% Annuities was GG7183682 Govt.

Floating-Rate Gilts

In 1994, with a bond-market crash continuing, the BoE issued a floater, paying (a private fixing of) Libid minus 12½bp. Two years later a second was issued.

There was a daily market fixing of Lɪʙᴏʀ, but not of Libid. Why use a private fixing? Was the BoE already aware of the problems that would later become the Lɪʙᴏʀ scandal? Or was it beneath the Old Lady’s dignity to use the same fixing as everybody else? Or both?

One coupon payment was mis-calculated. Bank of England, 20 Oct 1994:

The Floating Rate gilt, first issued in March 1994 with a further tranche in June, pays interest at 1/8% below the London Interbank bid rate for three-month deposits. The rate is reset every three months. By mistake, the interest payment to be made on 9 September was set on the wrong date, on 10 June rather than on 9 June. The error came to light when the next payment was being set, in September. Had the rate been correctly set, it would have been 0.01562% higher and the recipients of the interest payment on 9 September would have received an extra 0.39 pence per £100 nominal of stock. These persons are being individually notified and extra amounts are being paid with interest. The Bank is also contacting holders of the stock at the time the incorrect rate was announced who subsequently sold stock and may have suffered loss. The Bank regrets this mistake.

Nominal size was £2½bn+£2bn = £4½bn; error was 0.39 pence per £100; so the under-payment totalled £175,500.

The used fixing of Libid was a private fixing, and done only when needed, so it is not clear how the BoE could have known the value of this private fixing on a date on which it was not done. Three-month GBP Libor dropped 1.563bp between the 9th and 10th: perhaps this was used, with a small error added to hide the mechanism (perhaps, cunningly, an error chosen such that it was removed by rounding). Moral: needless complexity is needless.

Maturity Cpn First
settle date
First
coupon date
Orig.
term
Formal name ISIN,
FIGI
10 July 2001 Libid−⅛% 27 June 1996 08 Oct 1996 5.04 Floating Rate Treasury Stock 2001 GB0009997551
BBG0005LCMZ7
11 Mar 1999 Libid−⅛% 31 Mar 1994 09 June 1994 4.95 Floating Rate Treasury Stock 1999 GB0008880139
BBG0004HCW03

Variable-Rate Gilts

Wormell’s “13·914 per cent”

Sterling money-markets were and are Act/365, and gilt accrual and yield conventions were then Act/365. So we assume that a year has 365 days. Also assume that the 91-day T-Bill discount rate was d. We want to know the breakeven, at which the +50bp precisely offsets the use of a discount rate as a simple yield.

Temporarily assume that each coupon period was 91 days. Then the simple yield was (1/(1 − d×91/365) − 1)×365/91, which is to equal d+½%. In Mathematica (.nb, .pdf) NSolve[d + 1/200 == (1/(1 − d×91/365) − 1)×365/91 && d > −0.1 && d < 4, d] returns 13.9138%, consistent with Wormell’s “13·914 per cent”. Except that the Bank of England said “interest payable half-yearly”, and Belchamber said “semi-annual payment”.

So instead d should be converted to a simple yield of half-year term, assumed to be 182½ days. And NSolve[d + 1/200 == ((1 − d×91/365)^(−182.5/91) − 1)×365/182.5 && d > −0.1 && d < 4, d] returns 11.3328%. Alternatively assuming a year of 365¼ days and an average coupon period of 182⅝ days, which are not the usual £ convention, gives 11.2405%.

So it seems that Wormell’s “13·914 per cent” is too high by more than 2½%. Please could others check my reasoning and calculations, and let me know of agreement or reasoned disagreement. Thank you.


In mid-Feb 2016 Jeremy Wormell was informed of this criticism. He said that he might reply (and presumably might not).

The Bank of England Quarterly Bulletin, December 1981, p474:

Three Treasury Variable Rate Stocks (TVRS) have been issued: in May 1977 (to mature in November 1981), July 1977 (maturing in June 1982); and January 1979 (March 1983). Each was for £400 million with interest payable half-yearly, at an annual rate ½% above the daily average of the rate of discount on 91-day Treasury bills over a previous six-month period.

Errors of punctuation and maturity date—the Bank was sloppier then! The correct maturity is confirmed by the BoE QB, June 1983, p178: “the authorities … were committed to buying (at prices of their own choosing) whatever amounts of Variable Rate Treasury Stock 1983 (whose maturity date was 24 May) were offered to them.”

Wormell (1985), pp107–108:

There appear to be six reasons for the failure of the experiment. … Fifth, the ½ per cent margin over the Treasury bill discount rate become worth less, as a proportion of the rate, as interest rates rose: ½ per cent over a 7 per cent rate is very different from ½ per cent over 14 per cent. Finally, the return was based on the discount rate on Treasury bills and not the yield. The difference absorbed the ½ per cent margin when the discount rate on bills reached 13·914 per cent.

Belchamber (March 1988), p73:

Interest was paid semi-annually at the average of the weekly three-month Treasury bill rate over the period from the preceding ex-dividend date to the ex-dividend date prior to the payment plus a margin of 50 basis points in yield.

There were three issues in the late 1970s of £400m each. They were redeemable in 1981, 1982, and 1983 with maturities at issue of four, five, and six years respectively. These issues were not ultimately successful. The coupon structure was fully mismatched. A three-month rate was used to determine a semi-annual payment of a weekly refixing basis. This complexity made analysis virtually impossible and acted as a deterent to investors. No such issues currently exist.

Maturity First
settle date
Orig.
term
Formal name Implied
ISIN
24 May 1983 26 Jan 1979 4.33 Variable Rate Treasury Stock 1983 GB0090485623
15 June 1982 01 July 1977 4.96 Variable Rate Treasury Stock 1982 GB0090393843
17 Nov 1981 27 May 1977 4.47 Variable Rate Treasury Stock 1981 GB0090341180

— Julian D. A. Wiseman
London, February 2016 (and later updates)
www.jdawiseman.com


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