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Treasury bills

We shall use examples from the UK and US Treasury bills to explain how these instruments are valued and how the returns on them are calculated.

Table 14.1 shows the results from the four sales of UK Treasury bills which took place weekly during March 2014, on the 7th, 14th, 21st and 28th.

As different bidders pay different prices, a bill's tender results are averaged. Each bidder therefore must work out their own results to give them accurate information about their investment.

Table 14.1 DMO Treasury bill tender results 1 March 2014 to 31 March 2014

Tender date Issue date Redemption date Nominal amount (£m) Bid to cover ratio Average yield (%) Average price (£)
1 month
07-Mar-14 10-Mar-14 07-Apr-14 2,000 2.21 0.393578% 99.969817
14-Mar-14 17-Mar-14 14-Apr-14 2,000 3.30 0.364505% 99.972046
21-Mar-14 24-Mar-14 22-Apr-14 2,000 1.85 0.381211% 99.969721
28-Mar-14 31-Mar-14 28-Apr-14 2,000 1.62 0.407344% 99.968761
3 months
07-Mar-14 10-Mar-14 09-Jun-14 1,500 2.64 0.363186% 99.909534
14-Mar-14 17-Mar-14 16-Jun-14 2,000 3.09 0.379104% 99.905573
21-Mar-14 24-Mar-14 23-Jun-14 2,000 1.95 0.390464% 99.902746
28-Mar-14 31-Mar-14 30-Jun-14 2,000 1.51 0.421457% 99.895035
6 months
07-Mar-14 10-Mar-14 08-Sep-14 1,500 2.87 0.409168% 99.796392
14-Mar-14 17-Mar-14 15-Sep-14 1,500 3.23 0.394030% 99.803910
21-Mar-14 24-Mar-14 22-Sep-14 1,500 2.17 0.400866% 99.800515
28-Mar-14 31-Mar-14 29-Sep-14 1,500 1.70 0.422876% 99.789585

Source: www.dmo.gov.uk

Example 14.3

UK three-month Treasury bill

If we take the three-month Treasury bill sold at tender on 24 March at a discount price of £99.902746, we can work out the discount yield (d), yield (bey) and purchase price. Note that the time difference between the date of purchase and redemption is only 91 days in this case and we must express these interest rates in annual terms, so we multiply by 365/91.

Discount yield

Yield (bey) (on the purchase price)

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Source: Arnold G.. FT Guide to Bond and Money Markets (Financial Times Series. Harlow.: FT Publishing International,2015. — 488 p.. 2015
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