1. A loan of $3000 is to be repaid with quarterly installments at the end of each quarter for five years. If the rate of interest charged is 10% converted semiannually, find the amount of each quarterly payment.
2. A sum of $10, 000 is used to buy a deferred perpetuity-due paying $500 every six months forever. Find an expression for the deferred period expressed as a function of 'd', the annual discount rate.