Question
1. Xitadel Dayton conducts treasury futures arbitrage. Information pertinent to the T-bond futures and the underlying bonds are shown below. Current date & repo rate:
1. Xitadel Dayton conducts treasury futures arbitrage. Information pertinent to the T-bond futures and the underlying bonds are shown below.
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Current date & repo rate: May 25, 2020, repo rate = 10% per year
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T-bond futures: The settlement price of the November 2020 T-bond futures on May 25 is 70-
00. The target delivery date is December 15, 2020.
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Underlying T-bonds:
-
Bond
Maturity
Coupon
Price
Conversion Factor
A
May 15, 2040
7.5
81-00
1.20
B
May 15, 2040
6.5
78-00
1.05
(Note: Both bonds pay semiannual coupon interest on May 15 and November 15; the Nov.-May half-year has 181 days, and the May-Nov. half-year has 184 days).
Identify T-bond futures arbitrage opportunities, design arbitrage strategies, and show how much will be the expected arbitrage profits. To do so, you need to compare the invoice prices and the forward prices for both bonds (A and B), and identify the bond(s) that produce arbitrage profits. Do not forget to include appropriate accrued interests in your calculations.
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