Answer:
JRJ must issue 2,596 bonds to raise additional capital of $2 million.
Explanation:
From the question, we have the following:
Amount needed to be raised = $2 million = $2,000,000
Coupon rate = 8.0%, or 0.08
FV = Face value = 1000
Year to maturity = 10
NPER = Number of period = Year to maturity * Number of semiannuals in a year = 10 * 2 = 20
PMT = (FV * Coupon rate) / Number of semiannuals in a year =(1000 * 0.08) / 2 = 40
Rate = Semiannual interest / FV = $60 / $1000 = 0.06
The net proceeds can be calculated using the following excel function:
Net proceed = PV(rate, NPER, -PMT, -FV) ........... (1)
Substituting all the relevant value into equation (1), we have:
Net proceed = PV(6%, 20, -40, -1000)
Inputing =PV(6%, 20, -40, -1000) in any cell in excel sheet (Note: as done in the attached excel file), we have:
Net proceed = $770.60
Therefore, we have:
Number of bonds that must be raised = Amount needed to be raised / Net proceed = $2,000,000 / $770.60 = 2,596
