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

Q7. If the holding period yield on a Treasury bill (T-bill) with 197 days until maturity is 1.07%, what is the effective annual yield?

A)   0.58%.

B)   1.99%.

C)   1.07%.

Q8. Assume that a 1-month loan has a holding period yield of 0.80%. The bond equivalent yield of this loan is:

A)   9.60%.

B)   9.79%.

C)   10.12%.

Q9. The effective annual yield for an investment is 10%. What is the yield for this investment on a bond-equivalent basis?

A)   4.88%.

B)   10.00%.

C)   9.76%.

Q10. A 1-month loan has a holding period yield of 1%. What is the annual yield of this loan on a bond-equivalent basis?

A)     6.15%.

B)     12.30%.

C)     12.00%.

答案和详解如下:

Q7. If the holding period yield on a Treasury bill (T-bill) with 197 days until maturity is 1.07%, what is the effective annual yield?

A)   0.58%.

B)   1.99%.

C)   1.07%.

Correct answer is B)

To calculate the EAY from the HPY, the formula is: (1 + HPY)(365/t) − 1. Therefore, the EAY is: (1.0107)(365/197) − 1 = 0.0199, or 1.99%.

Q8. Assume that a 1-month loan has a holding period yield of 0.80%. The bond equivalent yield of this loan is:

A)   9.60%.

B)   9.79%.

C)   10.12%.

Correct answer is B)

(1 + 0.008)6 − 1 = 4.897%

4.897 × 2 = 9.79%.

Q9. The effective annual yield for an investment is 10%. What is the yield for this investment on a bond-equivalent basis?

A)   4.88%.

B)   10.00%.

C)   9.76%.

Correct answer is C)

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

Semiannual yield = 1.10.5 − 1 = 0.0488088.
The bond-equivalent yield = 2 × 0.0488088 = 0.097618.

Q10. A 1-month loan has a holding period yield of 1%. What is the annual yield of this loan on a bond-equivalent basis?

A)     6.15%.

B)     12.30%.

C)     12.00%.

Correct answer is B)

First, the 1-month yield must be converted to a semiannual yield. The result is then doubled to obtain the bond-equivalent yield.

Semiannual yield = 1.016 − 1 = 0.061520.
The bond-equivalent yield = 2 × 0.061520 = 0.12304.

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看答案,谢谢LZ

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Thanks a lot!

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