Copy of Charter Cities Institute Cost Effectiveness Model

	A	B	C	D	E	F	G	H	I	J	K	L	M	N	O	P	Q	R	S	T	U	V	W	X	Y	Z
1		Charter City	Host Country
2	Population	500,000.00	500,000.00
3	GDP/capita	5,000.00	5,000.00
4	GDP in year 0	2,500,000,000	2,500,000,000
5	Growth rate (base +2.5%)	0.065	0.04
6	Growth delay (years)	2.00
7	CCI's marginal contribution to success (percentage)	0.50
8	CCI's project cost (USD)	1,000,000
9		YEAR
10		1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20	21	22	23	24	25
11	Charter City GDP/capita	5,325.00	5,671.13	6,039.75	6,432.33	6,850.43	7,295.71	7,769.93	8,274.98	8,812.85	9,385.69	9,995.76	10,645.48	11,337.44	12,074.37	12,859.21	13,695.05	14,585.23	15,533.27	16,542.93	17,618.23	18,763.41	19,983.03	21,281.93	22,665.25	24,138.50
12	Host Country GDP/capita	5,200.00	5,408.00	5,624.32	5,849.29	6,083.26	6,326.60	6,579.66	6,842.85	7,116.56	7,401.22	7,697.27	8,005.16	8,325.37	8,658.38	9,004.72	9,364.91	9,739.50	10,129.08	10,534.25	10,955.62	11,393.84	11,849.59	12,323.58	12,816.52	13,329.18
13	Ratio of charter city GDP/cap to host country GDP/cap)	1.02	1.05	1.07	1.10	1.13	1.15	1.18	1.21	1.24	1.27	1.30	1.33	1.36	1.39	1.43	1.46	1.50	1.53	1.57	1.61	1.65	1.69	1.73	1.77	1.81
14	ln(ratio)	0.02	0.05	0.07	0.10	0.12	0.14	0.17	0.19	0.21	0.24	0.26	0.29	0.31	0.33	0.36	0.38	0.40	0.43	0.45	0.48	0.50	0.52	0.55	0.57	0.59
15	Weighting (value units accrued by that year)	17,102.94	34,205.88	51,308.83	68,411.77	85,514.71	102,617.65	119,720.59	136,823.54	153,926.48	171,029.42	188,132.36	205,235.30	222,338.25	239,441.19	256,544.13	273,647.07	290,750.01	307,852.95	324,955.90	342,058.84	359,161.78	376,264.72	393,367.66	410,470.61	427,573.55
16	Discounting (present value units accrued by that year)	15,117.07	29,015.49	41,768.94	53,447.14	64,116.05	73,838.07	82,672.18	90,674.18	97,896.78	104,389.83	110,200.40	115,372.95	119,949.49	123,969.64	127,470.84	130,488.39	133,055.58	135,203.82	136,962.70	138,360.14	139,422.41	140,174.25	140,638.97	140,838.49	140,793.44
17	Marginal CCI contribution (present value units attributable to CCI)	7,558.54	14,507.75	20,884.47	26,723.57	32,058.03	36,919.03	41,336.09	45,337.09	48,948.39	52,194.92	55,100.20	57,686.48	59,974.74	61,984.82	63,735.42	65,244.19	66,527.79	67,601.91	68,481.35	69,180.07	69,711.20	70,087.13	70,319.49	70,419.25	70,396.72
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19		26	27	28	29	30	31	32	33	34	35	36	37	38	39	40	41	42	43	44	45	46	47	48	49	50
20	Charter City GDP/capita	25,707.50	27,378.49	29,158.09	31,053.36	33,071.83	35,221.50	37,510.90	39,949.11	42,545.80	45,311.27	48,256.51	51,393.18	54,733.74	58,291.43	62,080.37	66,115.60	70,413.11	74,989.96	79,864.31	85,055.49	90,584.10	96,472.06	102,742.75	109,421.03	116,533.39
21	Host Country GDP/capita	13,862.35	14,416.84	14,993.52	15,593.26	16,216.99	16,865.67	17,540.29	18,241.91	18,971.58	19,730.44	20,519.66	21,340.45	22,194.07	23,081.83	24,005.10	24,965.31	25,963.92	27,002.48	28,082.58	29,205.88	30,374.11	31,589.08	32,852.64	34,166.75	35,533.42
22	Ratio of charter city GDP/cap to host country GDP/cap)	1.85	1.90	1.94	1.99	2.04	2.09	2.14	2.19	2.24	2.30	2.35	2.41	2.47	2.53	2.59	2.65	2.71	2.78	2.84	2.91	2.98	3.05	3.13	3.20	3.28
23	ln(ratio)	0.62	0.64	0.67	0.69	0.71	0.74	0.76	0.78	0.81	0.83	0.86	0.88	0.90	0.93	0.95	0.97	1.00	1.02	1.05	1.07	1.09	1.12	1.14	1.16	1.19
24	Weighting (value units accrued by that year)	444,676.49	461,779.43	478,882.37	495,985.32	513,088.26	530,191.20	547,294.14	564,397.08	581,500.03	598,602.97	615,705.91	632,808.85	649,911.79	667,014.74	684,117.68	701,220.62	718,323.56	735,426.50	752,529.44	769,632.39	786,735.33	803,838.27	820,941.21	838,044.15	855,147.10
25	Discounting (present value units accrued by that year)	140,523.20	140,046.01	139,378.98	138,538.20	137,538.75	136,394.79	135,119.60	133,725.61	132,224.48	130,627.09	128,943.66	127,183.71	125,356.15	123,469.29	121,530.87	119,548.12	117,527.76	115,476.05	113,398.79	111,301.38	109,188.81	107,065.72	104,936.39	102,804.76	100,674.49
26	Marginal CCI contribution (present value units attributable to CCI)	70,261.60	70,023.00	69,689.49	69,269.10	68,769.37	68,197.40	67,559.80	66,862.81	66,112.24	65,313.55	64,471.83	63,591.86	62,678.08	61,734.64	60,765.44	59,774.06	58,763.88	57,738.03	56,699.40	55,650.69	54,594.41	53,532.86	52,468.19	51,402.38	50,337.25
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29		Infinite time horizon (total present value)	5	10	15	20	25	30	35	40	45	50
30	Total present units of value attributable to CCI		101,732.35	326,467.87	624,949.53	961,984.84	1,312,918.63	1,660,931.19	1,994,976.98	2,308,218.83	2,596,844.88	2,859,179.97
31	Units per $100,000	50520.90274	10173.23523	32646.7871	62494.95312	96198.48441	131291.8626	166093.1195	199497.6983	230821.8829	259684.4884	285917.9971
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33	For comparison:	Units per $100,000 (2019 Givewell, Version 5)
34	GiveDirectly	384
35	Deworm the World	6721
36	Schistosomiasis Control Initiative	4251
37	Sightsavers	3918
38	Against Malaria Foundation	2825
39	Malaria Consortium	3258
40	Helen Keller International	2056
41	The END Fund	2334
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