Question

Suppose a bank enters a repurchase agreement in which it agrees to buy Treasury securities from a correspondent bank at a price of $38,950,000, with the promise to buy them back at a price of $39,000,000.a.Calculate the yield on the repo if it has a 6-day maturity. (Use 360 days in a year. Do not round intermediate calculations. Round your answer to 2 decimal places. (e.g., 32.16)) Yield on the repo %b.Calculate the yield on the repo if it has a 18-day maturity. (Use 360 days in a year. Do not round intermediate calculations. Round your answer to 2 decimal places. (e.g., 32.16))

Answer 1

Answer:

Yield with 6-day maturity is 7.70%

Yield with 18-day maturity is 2.57%

Explanation:

The formula for yield on repurchase is given as:

y = ( PAR – P ) / P x (360 / t )

P=Purchase price

PAR=Repurchase price

t= number of days of the transaction

In first scenario,PAR is $39 million,P is $38.95 million and t=6

y=($39000000-38950000)/38950000*(360/6)

y=7.70%

In the second scenario,details remained the same except for t that is 18

y=($39000000-38950000)/38950000*(360/18)

y=2.57%

This implies the longer the maturity the lesser the yield since yield is computed on daily basis.