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blagie [28]
3 years ago
14

Tutak Industries issued a $1,000 face value bond a number of years ago that will mature in eight years. Similar bonds are yieldi

ng 8%, and the Tutak bond is currently selling for $1,291.31. Compute the coupon rate on this bond. (In practice, we generally are not asked to find coupon rates.) (Hint: Substitute and solve for the coupon payment.)
Business
1 answer:
s2008m [1.1K]3 years ago
7 0

Answer: The coupon rate is 13%

Explanation:

We would first calculate the Coupon Payment and then later using the coupon payment we would compute the Coupon rate.

PV = \frac{FV}{(1+r)^{N} } + A [[\frac{1-\frac{1}{(1+r)^{N} } }{r} ]]

Where,

FV = $1,000

PV = $1,291.31

r = 8%

N = 8 Years

A = Coupon Payment

1291.31 = \frac{1000}{(1+0.08)^{8} } + A [\frac{1-\frac{1}{(1+0.08)^{8} } }{0.08} ]

Solve for A

A = 130.69

The coupon payment is $130

Coupon rate = (Coupon payment / Face value) x 100

                     = \frac{130}{1000} x 100

                     = 13 %

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