Question

Your company currently has $ 1 comma 000 ​par, 6 % coupon bonds with 10 years to maturity and a price of $ 1 comma 078. If you want to issue new​ 10-year coupon bonds at​ par, what coupon rate do you need to​ set? Assume that for both​ bonds, the next coupon payment is due in exactly six months.

Answer 1

The next coupon rate that is needed to​ set is 5.00%

Step-by-step explanation:

Solution

Recall that:

Your company presently has =$1,000 par

Coupon bonds = 6%

Maturity = 10 years

The next step is to find the coupon rate that is needed or required to set.

Now,

The number of semi annuals to maturity, NPER = (10 YEARS * 2)= 20

Semiannual coupon payments, PMT = ($1000 * 6%/2) = $30

The current selling price per bond (FV) = $1078

The maturity value at the end is = $1000

The semiannual compound type, = 0 (It is 0 if compounded at the end of each semiannual and is 1 if compounded at the start of each semiannual)

Semi annual interest rate is = 2.5%

Thus,

The number of semi annuals in a year is = 2

The annual coupon rate of bonds (new) = 2/50 % * 2

= 5.00%

It is important to note that the semi annual coupon rate is computed suing the excel function rate (nper, pmt, pv, fv, type),

Whereby

PV =1078

NPR = 20

PMT =30

FV = 1000

TYPE = 0.