<p>The question appears to refer to what is normally called the coupon rate (but the US Treasury does call the interest rate in its documentation). This is different than the yield, which is determined by a 1:1 function of price.</p>
<p>Issuance conventions vary across markets. I will just use the U.S. Treasury as an example. Firstly, this only applies to new bonds/bills, since reopenings already have a coupon, and bills are discount instruments (no coupon). I will ignore inflation-indexed bonds.</p>
<p>For the auctions inquestion, competitive bidders specify yields to 3 decimal places. Then:</p>
<blockquote>
<ol>
<li>Single-price auctions. The interest rate we establish produces the price closest to, but not above, par when evaluated at the yield of awards to suc- cessful competitive bidders.</li>
</ol>
</blockquote>
<p>That is, the coupon rate is set to get a price closest to par from below, using 1/8% increments.</p>
<p>Quote from: section 356.17 of<a href="https://www.treasurydirect.gov/instit/statreg/auctreg/31CFRPart356.pdf" rel="nofollow noreferrer">link to regulations</a></p>
<p><a href="https://www.treasurydirect.gov/instit/auctfund/work/work.htm" rel="nofollow noreferrer">Treasury auction information page.</a></p>

CC BY-SA 4.0
2021-02-19T13:20:52.883Z
2021-02-19T13:20:52.883Z
Brian Romanchuk
<p>My understanding is that price and yields are determined via supply and demand. How are the interest rates determined when the bonds are auctioned off?</p>

CC BY-SA 4.0
2021-02-19T12:45:52.137Z
The price is determined in auction, with slight variations in auction rules across countries. A bond yield is determined by a 1:1 function versus price, so you can switch between price or yield as one wishes.  Is your question how market participants decide how to bid?
Brian Romanchuk
CC BY-SA 4.0
2021-02-19T12:55:21.860Z
Thanks for responding. I worded the question poorly. How is the coupon rate of gov't bonds determined?
A Mac
<interest-rate><government-debt><bonds>
How does the treasury determine the rates of the bonds they sell?
A Mac
# How does the treasury determine the rates of the bonds they sell?

(Asked by: username_0 on 2021-02-19)

My understanding is that price and yields are determined via supply and demand. How are the interest rates determined when the bonds are auctioned off?

**Tags:** interest-rate, government-debt, bonds

> **Comments:**
> **username_1**: The price is determined in auction, with slight variations in auction rules across countries. A bond yield is determined by a 1:1 function versus price, so you can switch between price or yield as one wishes.  Is your question how market participants decide how to bid?  
> **username_0**: Thanks for responding. I worded the question poorly. How is the coupon rate of gov't bonds determined?  

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## 1 answers

### Answer by username_1 on 2021-02-19. Score: 2

The question appears to refer to what is normally called the coupon rate (but the US Treasury does call the interest rate in its documentation). This is different than the yield, which is determined by a 1:1 function of price.

Issuance conventions vary across markets. I will just use the U.S. Treasury as an example. Firstly, this only applies to new bonds/bills, since reopenings already have a coupon, and bills are discount instruments (no coupon). I will ignore inflation-indexed bonds.

For the auctions inquestion, competitive bidders specify yields to 3 decimal places. Then:

> 1. Single-price auctions. The interest rate we establish produces the price closest to, but not above, par when evaluated at the yield of awards to suc- cessful competitive bidders.

That is, the coupon rate is set to get a price closest to par from below, using 1/8% increments.

Quote from: section 356.17 of[link to regulations](https://www.treasurydirect.gov/instit/statreg/auctreg/31CFRPart356.pdf)

[Treasury auction information page.](https://www.treasurydirect.gov/instit/auctfund/work/work.htm)


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