Suppose a bank enters a repurchase agreement in which it agrees to buy Treasury securities from a correspondent bank at a price of $33,950,000, with the promise to buy them back at a price of $34,000,000. a. Calculate the yield on the repo if it has a 5-day maturity. b. Calculate the yield on the repo if it has a 15-day maturity.

a. 10.60%

b. 3.53%

Explanation:

a. Calculate the yield on the repo if it has a 5-day maturity.

Profit = $34,000,000 - $33,950,000 = $50,000

Using 360 days a year, we have:

Yield on the repo = ($50,000/$33,950,000) * (360/5) = 0.1060, or 10.60%

b. Calculate the yield on the repo if it has a 15-day maturity.

Using 360 days a year also, we have:

Yield on the repo = ($50,000/$33,950,000) * (360/15) = 0.0353, or 3.53%