Reference no: EM133502657

Background

You have been working as the chief financial planner for a large company based in Melbourne. Your clients include individuals, government, and private organizations. One of your clients, Peter Silva is 35, is married and has a 5-year-old son. He is employed as a schoolteacher and has recently inherited $800,000 from his father who recently passed away. Peter currently has a balance of a loan amounting to $150,000 to be paid off after 10 years. The current interest rate on this loan is 5%. Although young, unlike many other investors, Peter does not want to take a lot of risk by investing his inheritance in the stock market due to large losses of value of stocks recently. Peter is interested in investing in corporate bond market. His main goal is to accumulate funds for his child's university education, for his retirement at the age of 60 pay off the balance on his housing loan

Project Brief

Considering Peter's goals and his attitude towards risk you have decided to invest in AAA rated bonds. You have selected 25-year coupon bonds, 25-year zero coupon bonds and perpetual bonds for Peter's bond portfolio. The coupon bonds pay a coupon rate of 8%. A zero-coupon bond is currently selling at $535. The coupon rate on perpetual bonds is 7%. Peter wants to invest equal amounts in each of the above bond categories after deducting the present value of the loan payable in 10 years from his inheritance. Yield to maturity of coupon bonds and perpetual bonds is currently 8.5%. All bonds pay coupons annually.

Calculation of bond prices and number of bonds to purchase

Advise peter on the maximum price he should pay to invest in coupon bonds and perpetual bonds. Determine how many bonds he can purchase from each type of bonds.