5. The following table gives the information of all the bonds in a market. 1 Bond Principal Time to Maturity Annul Coupon Rate* Bond Price ($) (years) (%) ($) 100 0.50 0 98.5 0 96 10 ? 100 1.50 6 100.82 100 2.00 103.34 100 2.00 7 ? 100 100 1.00 1.30 * The coupons are paid every six months. A coupon has just been paid. All the rates are compounded continuously. (a) Find the zero rates for maturities of 6 months, 12 months, 18 months and 24 months. 15 marks) (b) Find the forward rates for the periods: 6 months to 12 months, 12 months to 18 months, 18 months to 24 months. (5 marks) (c) Estimate the price and bond yield of the last bond. Is it over-performed (com- paring to the zero rate)? [10 marks () Estimate the price of the third bond. [10 marks)