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Reading 6: Discounted Cash Flow Applications - LOS d, (Par

Q11. A 3-month loan has a holding period yield of 1.5%. What is the annual yield of this loan on a bond-equivalent basis?

A)   6.05%.

B)   6.65%.

C)   3.02%.

Q12. What is the effective annual yield of a T-bill that has a money market yield of 5.665% and 255 days to maturity?

A)   5.92%.

B)   4.01%.

C)   5.79%.

Q13. A Treasury bill has 90 days until its maturity and a holding period yield of 3.17%. Its effective annual yield is closest to:

A)   13.49%.

B)   13.30%.

C)   12.68%.

Q14. A Treasury bill, with 45 days until maturity, has an effective annual yield of 12.50%. The bill's holding period yield is closest to:

A)     1.46%.

B)     1.57%.

C)     1.54%.

答案和详解如下:

Q11. A 3-month loan has a holding period yield of 1.5%. What is the annual yield of this loan on a bond-equivalent basis?

A)   6.05%.

B)   6.65%.

C)   3.02%.

Correct answer is A)

First, the 3-month yield must be converted to a semiannual yield. The result is then doubled to obtain the bond-equivalent yield.

Semiannual yield = 1.0152 − 1 = 0.030225.
The bond-equivalent yield = 2 × 0.030225 = 0.06045.

Q12. What is the effective annual yield of a T-bill that has a money market yield of 5.665% and 255 days to maturity?

A)   5.92%.

B)   4.01%.

C)   5.79%.

Correct answer is C)

Holding Period Yield = 4.0127% = 5.665% × (255 / 360)

Effective Annual Yield = (1.040127)365/255 = 1.0571 − 1 = 5.79%.

Q13. A Treasury bill has 90 days until its maturity and a holding period yield of 3.17%. Its effective annual yield is closest to:

A)   13.49%.

B)   13.30%.

C)   12.68%.

Correct answer is A)

The effective annual yield (EAY) is equal to the annualized holding period yield (HPY) based on a 365-day year. EAY = (1 + HPY)365/t − 1 = (1.0317) 365/90 − 1 = 13.49%.

Q14. A Treasury bill, with 45 days until maturity, has an effective annual yield of 12.50%. The bill's holding period yield is closest to:

A)     1.46%.

B)     1.57%.

C)     1.54%.

Correct answer is A)

The effective annual yield (EAY) is equal to the annualized holding period yield (HPY) based on a 365-day year. EAY = (1 + HPY)365/t − 1. HPY = (EAY + 1)t/365 − 1 = (1.125)45/365 − 1 = 1.46%.

 

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