(a) A bond with $40 semi-annual coupons is purchased at a premium to yield j2 = 7%. If the first write-down is $4.33, determine the purchase price of the bond.

(b) A different bond with a par value of $100,000 and coupons at the rate j2 = 6.5% is purchased for $96,446.90 to yield j2 = 7% to maturity. Determine the number of years to maturity.