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crimeas [40]
3 years ago
7

West Corp. issued 10-year bonds two years ago at a coupon rate of 8.1 percent. The bonds make semiannual payments. If these bond

s currently sell for 102 percent of par value, what is the YTM? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)
Business
1 answer:
umka21 [38]3 years ago
4 0

Answer:

7.82%

Explanation:

Given the following :

Par value = 102%

Coupon rate = 8.1%

Period (n) = 10 years

Yield to maturity (YTM) =?

with a face value (F) of $1000

The current price (P) of bond will be:

102% * $1000 = (1.02 * $1000) = $1020

Annual coupon payment = $1000 * 8.1% = $1000 * 0.081 = $81

The YTM formula is given by:

YTM = [ C +( F - P) / n] / [(F + P) / 2)]

YTM= [(81 + (1000 - 1020) / 10] / [(1000 + 1020)/2)]

YTM = [(81 +(-20/10)] / (2020/2)

YTM = [(81 - 2) / 1010]

YTM = 79 / 1010

YTM = 0.078217

YTM =0.078217 * 100

YTM = 7.82%

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