import sys
bal = float(sys.argv[1])  # Initial balance to be paid.

NQ = 60      # Number of Quarters: 60 quarters is 15 years.
rate = 5.0   # percent per annum
future = 0.0 # Future value of accumulated payments.

# quarterly multiplier for annualized
multiplier = (1.0 + rate/100.0) ** 0.25

print("Initial Balance: %.3f  Rate: %.6f  Quarterly Mult: %.6f" % (bal, rate, multiplier))

for i in range(NQ):
	bal *= multiplier
	quarters_remaining = (NQ - i)
        # compound first, because it happends "during" the quarter.
	payment = (1.0 / quarters_remaining) * bal
        # Make payment at EOQ.
	bal = bal - payment
	
	future *= multiplier
	future = future + payment

	print ("quarter %2d/%2d:  3.m.payments=%10.3f  q.payment=%10.3f  bal=%10.3f   (future=%10.3f)" % (i+1, NQ, payment/3.0, payment, bal, future))