XYZ Inc. plans to raise $5,000,000 external financing through issuing bonds, and is considering two options: regular bonds and zero couple bonds.  The regular bonds will have coupon rate at 10%, payable semi-annually, with face value of $1,000 each and maturity of 5 years.  The zero coupon bonds will be the same as the regular bonds except that there is no coupon attached to these bonds, i.e. no interest payment throughout the life of the zero coupon bond.

Current market interest rate for 5-year bond of similar bond issuers like XYZ Inc. is 8%.  Assume there is no issuance cost.

Requirements: Show your calculation

a. Calculate the price of regular bonds at the time of issuance.

b. Based on $1,000 face value for each bond, what is the minimum number of regular bonds to be issued to raise the required external financing of $5,000,000?

c. Calculate the price of zero coupon bonds at the time of issuance.

d. Based on $1,000 face value for each bond, what is the minimum number of zero coupon bonds to be issued to raise the required external financing of $5,000,000?

e. Assuming market interest rate remains unchanged in next 2 years, calculate the bond price at that time and explain the changes in price for each of these bonds.

f. Calculate the percentage of price change of each of the bonds between the time of issuance and 2 years after such time, and discuss why each of these bond prices changes.