A perpetuity-due is purchased for 1,100 on January 1, 2000. The level annual payments are 100 are the interest rate is i% compounded annually.
Immediately following the payment on January 1, 2014 the remaining future payments are sold at a yield rate of i%. The proceeds are used to purchase a 10-year annuity whose first payment will be on January 1, 2018, where semi-annual payments are made on January 1 and July 1.
The interest rate for the annuity is of i/2% compounded annually. Find the payment amount.