A company wishes to replace the following three debts: $20,000 due on July 1, 2004
$30,000 due on January 1, 2007 and
$35,000 due on July 1, 2010
with a single debt of Y payable on January 1, 2007. Compute the value of Y , if the interest
rate is 12% per year compounded semi-annually, prior to January 1, 2007 and 10% per year
compounded semi-annually, after to January 1, 2007.