Question

A Treasury bill with 119 days to maturity is quoted at 97.630. What are the bank discount yield, the bond equivalent yield, and the effective annual return? (Do not round intermediate calculations. Enter your answers as a percent rounded to 3 decimal places.)

Answer 1

Answer:

discount yield=7.17%

bond equivalent yield=7.34%

effective annual yield =7.64%

Explanation:

Discount yield =discount /face value*360/t

where t is the number of days to maturity

discount =face value -issue price

discount=100-97.63

discount=2.37

discount yield =2.37/100*360/119

discount yield=7.17%

bond equivalent yield=(1+periodic yield)^360/t-1

periodic yield =discount/face value=2.37/100=2.37%

bond equivalent yield =(1+2.37%)^(360/119)-1

bond equivalent yield=7.34%

effective annual yield=(1+HPY)^365/t-1

Holding period yield (HPY)=discount/price=2.37/97.63

HPY=2.43%

effective annual yield=(1+2.43%)^(365/119)-1

effective annual yield =7.64%