Question

Leahy Corp. sells $300,000 of bonds to private investors. The bonds are due in five years, have a 6% coupon rate, and interest is paid semiannually. The bonds were sold to yield 4%. Group of answer choices The bonds were sold at a discount, with annual interest expenses more than $18,000 The bonds were sold at a discount, with annual interest expenses less than $18,000 The bonds were sold at a premium, with annual interest expenses more than $18,000 The bonds were sold at a premium, with annual interest expenses less than $18,000 The bonds were sold at par, with annual interest expenses equal to $18,000

Answer 1

Answer:

The bonds were sold at a premium, with annual interest expenses less than $18,000

Explanation:

r = 4% per annum = 4%*6/12 = 2%

n = 5 years * 2 = 10

Present value of annuity factor = [1 - (1+r)^(-n)] / r

Present value of annuity = [1 - (1.02)^(-10)] / 0.02

Present value of annuity = 8.982585

Interest payment = $300,000*6%*6/12

Interest payment = $9,000

Present value factor = 1/(1+r)^n

Present value factor = 1 / (1.02)^10

Present value factor = 0.8203483

Face value = $300,000

Selling value of bond = [8.982585*9000] + [0.8203483*300,000]

Selling value of = 80,843.265 + 246,104.49

Selling value of = 326,948. (Amount that bond are sold for is greater than 300,000 i.e at a premium).

Coupon rate payment = $300,000*6%

Coupon rate payment = $18,000