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shtirl [24]
3 years ago
8

Gabriele Enterprises has bonds on the market making annual payments, with eight years to maturity, a par value of $1,000, and se

lling for $964. At this price, the bonds yield 6.7 percent. What must the coupon rate be on the bonds?
Business
1 answer:
iVinArrow [24]3 years ago
4 0

Answer:

Coupon rate = 5.8%

Explanation:

The price of a bond is the present value (PV)  of the future cash flows discounted at its yield.

So we will need to work back to ascertain the coupon rate

Step 1

<em>Calculate the PV of redemption value and PV of interest payments</em>

<em>PV of Redemption </em>

= 1.067^(-5) × 1000

=723.06

<em>PV of the annual interest rate</em>

= price of the bond - PV of redemption

= $964- 723.06

= 240.934

Step 2

<em>Calculate the interest payment</em>

Interest payment = PV of redemption value / annuity factor

Annuity factor =( 1 -(1+r)^(-n) )/r

<em>Annuity factor at 6.7% for 5 years</em>

Factor =( 1-1.067^(-5) )/0.067

          = 4.1333

Interest payment =  <em>PV of the annual interest rate</em> / Annuity factor

Interest payment=

=240.93/4.1333

=58.290

Step 3

<em>Calculate the coupon rate</em>

Coupon rate = interest payment/ par value

Coupon rate = (58.290/1000) × 100

= 5.8%

Coupon rate = 5.8%

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