Answer:
The price collected from the bonds at issuance will be of 91,409,278.98
Explanation:
The price of the bond at issuance will be the present value of the coupon payment and maturity discounted at effective rate.
Present value of the coupon paymnet (interest)
[tex]C \times \frac{1-(1+r)^{-time} }{rate} = PV\\[/tex]
C 5,300,000.000
time 30
rate 0.06
[tex]5300000 \times \frac{1-(1+0.06)^{-30} }{0.06} = PV\\[/tex]
PV $72,953,605.1029
Present value of the maturity (principal)
[tex]\frac{Maturity}{(1 + rate)^{time} } = PV[/tex]
Maturity 106,000,000.00
time 30.00
rate 0.06
[tex]\frac{106000000}{(1 + 0.06)^{30} } = PV[/tex]
PV 18,455,673.88
PV c $72,953,605.1029
PV m $18,455,673.8765
Total $91,409,278.9794