a	1000											
T	4	years										
r	0.1	pa.										
IP=PP	1	year 										
												
									Realization of the Pension plan			
ahead p.		t	0	1	2	3	4					
		a	1000	1000	1000	1000		years	0	1	2	3
		pv	1000	909.0909091	826.446281	751.3148009			3486.851991			
		B^0	3486.851991					paid annuity	1000	1000	1000	1000
		Sum of Geom.ser.	3486.851991						2486.851991	2735.53719		
										1735.53719	1909.090909	
											909.0909091	1000
		t	0	1	2	3	4					0
		a		1000	1000	1000	1000					
		pv		909.0909091	826.446281	751.3148009	683.0134554					
		B^0	3169.865446									
		Sum of Geom.ser.	3169.865446									
		Short version of sum	3169.865446									
												
												
1)												
	a	500										
	r	0.065	p.q.									
	T	12	years									
	IP=PP	1	month									
												
		B^0	22500.55985									
												
		B^1	22023.38648									
												
												
												
2)												
												
	ahead											
	left side	6.972545415										
	a 	143419.6467										
												
												
	after											
	left side	5.979884575										
	a 	167227.3081										
												
												
IP>PP												
												
												
	B^0	3716306.418										
												
	B ^1	2919995.152										
												
												
												
	B	10000000										
	T	20	years									
	r	0.05	pa.									
	IP	4x	/year									
	PP	15	days									
												
	a	?										
												
	left side of the eq.	5.969135802										
	a	1675284.385										
												
												
IP<PP	B^0	10000000										
	the same example											
												
ahead p.												
	but 											
	IP	15days										
	PP	4x/year										
												
	q	0.987590642										
	left side of eq.	50.90816743										
	a	196432.1347										
												
after p.	B^1	10000000										
												
	left side	50.27642975										
	a	198900.3605										
												
												
eternal pension												
												
	B^0	2420443.478										
												
	B^0	2472243.478										
												
												
	q	0.955109189										
	B^0	164844.4283