def scholarship_1(initial_amount=15000, skip_years=4, ir=0.06, 
		sr=(lambda n:0.03), it=10):
	"""Calculate and output the scholarship payouts (among other things)
	given an interest rate and a scholarship rate function."""
	total = initial_amount * ((1+ir)**(skip_years-1))

	# we start from *just* before the fourth year's interest earnings
	for n in range(0, it):
		scholarship = sr(n) * total
		interest = ir * total
		total = total - scholarship + interest
		print "year: %d\nn: %d\ninterest: %f\nscholarship: %f\nleft over:" \
					"%f\n\n" % (n+4, n, interest, scholarship, total)


def scholarship_2(initial_amount=15000, skip_years=4, ir=0.06, 
		sr=(lambda n:0.03), it=10):
	"""Calculate and output the scholarship payouts (among other things)
	given an interest rate and a scholarship rate function."""
	total = initial_amount * ((1+ir)**(skip_years-1))
	
	for n in range(0, it):
		total = (1+ir) * total
		scholarship = sr(n) * total
		total -= scholarship
		print "year: %d\nn: %d\nscholarship: %f\nleft over:" \
					"%f\n\n" % (n+4, n, scholarship, total)
	

if __name__ == "__main__":
	print "method one: interest calculation, then scholarship, then deduct.\n"
	scholarship_1(sr=lambda n: (0.08 + (0.08 * n)), it=1)
	
	#print "method two: calculate interest, add, calculate scholarship, deduct\n"
	#scholarship_2(sr=lambda n: (0.03 + (0.03 * n)), it=1)
	
	"""
	year: 4
	n: 0
	interest: 1071.914400
	scholarship: 1429.219200
	left over:17507.935200
	"""