A $1000 bond with semi-annual coupons, with coupon rate of 6% per annum convertible semi-annually, matures at par on October 15th, 2020. The bond is purchased on June 28th, 2005 to yield the investor a nominal rate of 7% per annum convertible semi-annually. What is the purchase price (i.e. the at price of the bond)? Assume simple interest between bond coupon dates. The following table may be useful:
Date of the Year
April 15th 105
June 28th 179
October 15th 288