Anderson-Sleath yield curves: latest and historical
Charles Coverdale
08 May 2026
Source:vignettes/yield-curves.Rmd
yield-curves.RmdThe Bank of England publishes daily fitted yield curves at all maturities using the Anderson and Sleath (2001) smoothing methodology. Five curves are produced: nominal gilt, real (index-linked) gilt, implied inflation, overnight index swap (OIS), and the commercial bank liability curve (BLC). Each is available in spot and instantaneous-forward form.
The default behaviour of boe_curve() returns the latest
published month, matching what most analysts need when they reach for
“today’s curve”. Pass from, to, or
frequency = "monthly" and the function switches to the BoE
historical archive, which extends back as far as 1979 for nominal
gilts.
Latest published month
latest <- boe_curve(curve = "nominal", measure = "spot")
#> ℹ Downloading yield curve archive from Bank of England
#> ✔ Downloading yield curve archive from Bank of England [731ms]
#>
range(latest$date)
#> [1] "2026-05-01" "2026-05-07"
range(latest$maturity_years)
#> [1] 0.5 40.0boe_curve() returns a long-format boe_tbl
with one row per (date, maturity) pair. Provenance is attached as an
attribute:
Historical: 10-year nominal spot rate since 2000
For time-series work, boe_curve_panel() reshapes the
long format into a wide panel with one column per pillar maturity.
End-of-month frequency is plenty for multi-decade work and keeps the
download small.
panel <- boe_curve_panel(
curve = "nominal",
measure = "spot",
frequency = "monthly",
from = "2000-01-01",
maturities = c(2, 5, 10, 20)
)
#> ℹ Downloading nominal monthly yield-curve archive from Bank of England
#> ✔ Downloading nominal monthly yield-curve archive from Bank of England [156ms]
#>
head(panel)
#> # BoE [boe_curve_panel]: 1 series [AS_NOMINAL_SPOT] · 6 obs · 2000-01-31 to 2026-04-30 · freq=monthly
#> date m2 m5 m10 m20
#> 1 2000-01-31 6.474909 6.286147 5.613887 4.478985
#> 2 2000-02-29 6.302563 6.010255 5.334982 4.363222
#> 3 2000-03-31 6.273430 5.857503 5.147789 4.349529
#> 4 2000-04-30 6.069206 5.704744 5.097727 4.262276
#> 5 2000-05-31 6.136496 5.695847 5.051332 4.304463
#> 6 2000-06-30 5.942865 5.594983 5.073053 4.379719
if (requireNamespace("ggplot2", quietly = TRUE)) {
ggplot2::ggplot(panel, ggplot2::aes(date, m10)) +
ggplot2::geom_line(colour = "#1f77b4") +
ggplot2::labs(
title = "UK 10-year nominal spot rate",
subtitle = "End of month, Anderson-Sleath fitted",
x = NULL, y = "Per cent"
) +
ggplot2::theme_minimal()
}
5y5y forward implied inflation
The 5y5y forward inflation rate (the average implied inflation rate over the second five-year horizon, five years from now) is a textbook medium-term inflation expectations measure. It comes straight off the implied-inflation forward curve.
inflation_fwd <- boe_curve_panel(
curve = "inflation",
measure = "forward",
frequency = "monthly",
from = "2010-01-01",
maturities = c(5, 10)
)
#> ℹ Downloading inflation monthly yield-curve archive from Bank of England
#> ✔ Downloading inflation monthly yield-curve archive from Bank of England [205ms]
#>
inflation_fwd$five_y_five_y <- (inflation_fwd$m10 * 10 -
inflation_fwd$m5 * 5) / 5
head(inflation_fwd[, c("date", "m5", "m10", "five_y_five_y")])
#> # BoE: 6 obs
#> date m5 m10 five_y_five_y
#> 1 2010-01-31 3.299640 3.863640 4.427640
#> 2 2010-02-28 3.401710 4.095848 4.789986
#> 3 2010-03-31 3.415668 4.318069 5.220470
#> 4 2010-04-30 3.458722 4.233360 5.007998
#> 5 2010-05-31 2.957608 4.008686 5.059764
#> 6 2010-06-30 2.779321 3.854157 4.928993
if (requireNamespace("ggplot2", quietly = TRUE)) {
ggplot2::ggplot(inflation_fwd, ggplot2::aes(date, five_y_five_y)) +
ggplot2::geom_line(colour = "#d62728") +
ggplot2::geom_hline(yintercept = 2.0, linetype = "dashed",
colour = "grey40") +
ggplot2::annotate("text", x = max(inflation_fwd$date),
y = 2.0, label = "2% target", hjust = 1, vjust = -0.5,
colour = "grey40", size = 3) +
ggplot2::labs(
title = "UK 5y5y forward implied inflation",
subtitle = "End of month, derived from the BoE implied-inflation forward curve",
x = NULL, y = "Per cent per annum"
) +
ggplot2::theme_minimal()
}
OIS curve evolution across the rate cycle
The OIS curve gives a market-implied path for Bank Rate. Comparing OIS spot pillars at MPC decision dates shows how expectations shifted through the 2022 to 2024 hiking cycle.
ois <- boe_curve_panel(
curve = "ois",
measure = "spot",
frequency = "monthly",
from = "2020-01-01",
maturities = c(0.5, 1, 2, 5)
)
#> ℹ Downloading ois monthly yield-curve archive from Bank of England
#> ✔ Downloading ois monthly yield-curve archive from Bank of England [212ms]
#>
mpc <- boe_mpc_decisions(from = "2020-01-01")
#> ℹ Downloading from Bank of England
#> ✔ Downloading from Bank of England [441ms]
#>
mpc <- data.frame(date = mpc$date, bank_rate = mpc$new_rate_pct)
merged <- merge(ois, mpc, by = "date", all.x = TRUE)
merged$bank_rate <- as.numeric(merged$bank_rate)
# carry the bank rate forward between MPC dates
for (i in seq_along(merged$bank_rate)) {
if (i > 1 && is.na(merged$bank_rate[i])) {
merged$bank_rate[i] <- merged$bank_rate[i - 1]
}
}
tail(merged)
#> date m0.5 m1 m2 m5 bank_rate
#> 70 2025-11-28 3.670990 3.533751 3.468765 3.589609 NA
#> 71 2025-12-31 3.613941 3.485618 3.454123 3.621165 NA
#> 72 2026-01-30 3.603969 3.491676 3.492607 3.727255 NA
#> 73 2026-02-27 3.461611 3.348672 3.309542 3.485201 NA
#> 74 2026-03-31 3.950747 4.102948 4.162256 4.106304 NA
#> 75 2026-04-30 3.968888 4.190262 4.258125 4.245096 NA
if (requireNamespace("ggplot2", quietly = TRUE)) {
long <- data.frame(
date = rep(merged$date, 5),
pillar = rep(c("Bank Rate", "6m OIS", "1y OIS", "2y OIS", "5y OIS"),
each = nrow(merged)),
rate = c(merged$bank_rate, merged$m0.5, merged$m1, merged$m2, merged$m5)
)
long$pillar <- factor(long$pillar,
levels = c("Bank Rate", "6m OIS", "1y OIS",
"2y OIS", "5y OIS"))
ggplot2::ggplot(long, ggplot2::aes(date, rate, colour = pillar)) +
ggplot2::geom_line() +
ggplot2::labs(
title = "UK OIS spot pillars and Bank Rate, 2020 to present",
subtitle = "Tightening cycle visible across all pillars",
x = NULL, y = "Per cent", colour = NULL
) +
ggplot2::theme_minimal() +
ggplot2::theme(legend.position = "bottom")
}
#> Warning: Removed 75 rows containing missing values or values outside the scale range
#> (`geom_line()`).
When to reach for the archive
| Question | Argument set |
|---|---|
| Today’s curve | none (default) |
| Last few years, daily | from = "2020-01-01" |
| Multi-decade panel for econometrics | frequency = "monthly", from = "1990-01-01" |
| Commercial bank liability curve |
curve = "blc" (always uses archive) |
Archive zips cache for 30 days by default; the latest-month zip
caches for 24 hours. Override with cache_ttl_h if you need
to force a fresh pull.
References
Anderson, N. and Sleath, J. (2001). New estimates of the UK real and nominal yield curves. Bank of England Working Paper No. 126. https://www.bankofengland.co.uk/working-paper/2001/new-estimates-of-the-uk-real-and-nominal-yield-curves