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Treasury bond · 30-year

2.000% Treasury bond due 15 Aug 2051

ISIN US912810SZ21 · CUSIP 912810SZ2

Estimated price Estimate 50.88 per 100 of face value, without accrued interest

Estimated from the Treasury curve, not a dealer quote. Built from the Treasury's par curve of 2 Oct 2026.

Yield to maturity
5.73%

if held to maturity and every payment arrives, at this estimated price

Modified duration
16.54

years: for each point its yield moves, the price moves about 16.5% the other way

Next coupon
15 Feb 2027

50 payments left · 0.26 accrued per 100

What it still pays, by year, per 100
CouponsPrincipal

On 2 Oct 2026 the Treasury curve puts this security at an estimated 50.88 per 100, a yield of 5.73% if it is held to maturity and every payment arrives. It is a model estimate and can differ from the price at which the security trades.

The terms

Coupon
2.000%

paid twice a year, on the same two dates

Issued
16 Aug 2021

interest runs from 15 Aug 2021

Matures
15 Aug 2051

24.9 years left

Original term
30-year

Bonds of August 2051

Outstanding
$90.0B

as of 31 Aug 2026

Day count
actual/actual

accrued interest follows the actual days of each coupon period

Price and risk, from the curve

Accrued interest
0.261

per 100: the coupon earned since the last payment on 15 Aug 2026

Full price
51.14

the price plus accrued interest: what a buyer pays at settlement

Macaulay duration
17.02

years: the average time to its payments, weighted by their present value

Convexity
358.7

how the duration itself changes as the yield moves

Price change per basis point
0.0846

per 100: how much the price moves for a 0.01-point move in yield (DV01)

These come from a model, not from a market: the Treasury's par curve of 2 Oct 2026, turned into a discount factor for each payment of this security. They can differ from the price at which it trades, and the yield to maturity is what holding it to the end would earn if every payment arrives, at this estimated price. It is not a return anyone is owed: a different price, a sale before maturity or reinvesting at other rates all change what is actually earned. For a TIPS, or a security with twenty years or more to run, the gap can exceed half a point.

The auctions

The Treasury sells each security at auction. The first auction issues it; later ones, called reopenings, sell more of the same security.

AuctionKindOfferedAcceptedBid-to-coverHigh yield
13 Oct 2021 Reopening $24.0B $25.8B 2.36 2.049%
9 Sep 2021 Reopening $24.0B $26.6B 2.49 1.910%
12 Aug 2021 New issue $27.0B $39.0B 2.21 2.040%

Bid-to-cover is the amount bid divided by the amount sold: 2.5 means bids for two and a half times what was sold. The high yield is the highest yield at which the Treasury accepted bids.

Terms, auctions and amounts outstanding: U.S. Department of the Treasury, Bureau of the Fiscal Service, Fiscal Data (public data, free to reuse). Curve: the Treasury's daily par yield curve rates. The price, yield and risk figures are Sphinx Risk's own estimates from that curve. Nothing on this page is a recommendation to buy or sell anything. fiscaldata.treasury.gov ↗ · treasury.gov ↗