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matrenka [14]
3 years ago
6

What is the discount yield, bond equivalent yield, and effective annual return on a $3 million commercial paper issue that curre

ntly sells at 97.50 percent of its face value and is 145 days from maturity?
Business
1 answer:
aleksklad [387]3 years ago
6 0

Answer:

(a) 6.206%

(b) 6.54%

(c) 6.58%

Explanation:

Given that,

Commercial paper value = $3 million

Currently selling at 97.50 percent of its face value.

Days from maturity = 145

(a) Discount yield:

= \frac{(Face\ value - Current\ price)}{Face\ value}\times\frac{360}{Days\ in\ maturity}

= \frac{(100 - 97.50)}{100}\times\frac{360}{145}

= 0.025 × 2.4827

= 0.06206 or 6.206%

(b) Bond equivalent yield:

= \frac{(Face\ value - Current\ price)}{Current\ price}\times\frac{365}{Days\ in\ maturity}

= \frac{(100 - 97.50)}{97.50}\times\frac{365}{145}

= 0.026 × 2.52

= 0.0654 or 6.54%

(c) Effective annual return:

Future value = Present value × (1+r)^{n}

$100 = $97.50 × (1+r)^{\frac{145}{365}}

(\frac{100}{97.50})^{\frac{365}{145}} = 1+r

1.0658 = 1 + r

0.0658 or 6.58% = r

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