Question

Downing Company issues $4,000,000, 8%, 5-year bonds dated January 1, 2020 on January 1, 2020 (ten periods). The bonds pay interest semiannually on June 30 and December 31. The bonds are issued to yield 5%. What are the proceeds from the bond issue?

Answer 1

Answer:

$4,525,123.84

Explanation:

The computation of the proceeds from the issuance of the bond is shown below:

Given that

Face Value of Bonds = $4,000,000

Annual Coupon Rate = 8%

So, Semiannual Coupon Rate = 4%

So, Semiannual Coupon = 4% × $4,000,000

= $160,000

Time to Maturity = 5 years

So, Semiannual Period = 10

And,

Annual Interest Rate = 5%

So, Semiannual Interest Rate = 2.5%

Now the proceeds from the issuance of the bond is

= $160,0000 × PVIFA(2.5%, 10) + $4,000,000 × PVIF(2.5%, 10)

= $160,000 × 8.752064  + $4,000,000 × 0.78120

= $1,400,330.23  + $3,124,793.61

= $4,525,123.84