Research Cost - Supporting Data

This article is only accurate for EU3, version 1.3.
Please help update this page to include information on the NA, IN, HTTT and DW expansions.

This page is obsolete for EU3:IN and EU3:HTTT.

Research cost analysis at the beginning of the game

At the beginning of the game ver. 1.1 on May 1453 everybody researches Government Tech 1. Historically it took 5 years 1450-1455. All from Latin tech group, no inflation, no early research penalty.

Note on inflation: At the beginning game shows negative inflation on its popup. Effect disappears and tech cost readjusted on June 1, 1453.

Country	Provinces	Sliders rate	Cost	Norm Cost per year	Rounded change
Navarra	1	6.00%	663	125.1	125
Milan	2	-2.00%	735	150.0	25
Bavaria	3	-2.00%	858	175.1	25
Genoa	4	0.00%	938	187.6	12.5
Bohemia	5	-2.00%	980	200.0	12.5
Scotland	6	-1.00%	1114	225.1	25
Austria -1	7	0.00%	1188	237.6	12.5
Austria	8	0.00%	1250	250.0	12.5
Aragon -2	9	-7.00%	1176	252.9	3
Aragon -1	10	-7.00%	1192	256.3	3.3
Aragon	11	-7.00%	1206	259.4	3
England	18	4.00%	1463	281.3	(Average)3.1

Aragon -2 - Aragon sold 2 provinces

Normalized cost per year = Cost / (100% + Sliders rate) /5 years

Rounded change shows how each acquired province change your Normalized cost per year. It continues to slightly decrease down the road: At 1504 Castille with 39 provinces got 2.8

Early Research Penalty

The following table is based on the incorrect assumption that the yearly research cost per province was 5. However it is still useful in showing the increase is cost for researching ahead of the average tech date.

Years Early	Revised Cost	Change in Base Cost
0	5	0
1	5.25	0.25
2	6	0.75
3	7.25	1.25
4	9	1.75
5	11.25	2.25
6	14	2.75
7	17.25	3.25
8	21	3.75
9	25.25	4.25
10	30	4.75
11	35.25	5.25
12	41	5.75
13	47.25	6.25
14	54	6.75
15	61.25	7.25
16	69	7.75
17	77.25	8.25
18	86	8.75
19	95.25	9.25
20	105	9.75
21	115.25	10.25
22	126	10.75
23	137.25	11.25
24	149	11.75
25	161.25	12.25
26	174	12.75
27	187.25	13.25
28	201	13.75
29	215.25	14.25
30	230	14.75

Province Cost

The following table shows the cost of research based on the number of provinces owned:

Provinces	Cost/year	Verified
1	125	*
2	150	*
3	175	*
4	187.5	*
5	200	*
6	225	*
7	237.5	*
8	250	*
9	253	*
10	256.3	*
11	259.4	*
12	262.52
13	265.64
14	268.76
15	271.8	*
16	275	*
17	278.12
18	281.3	*
19	284.42
20	287.54
21	290.66
22	293.78
23	296.9
24	300.02
25	303.14
26	306.2	*
27	309.2	*
28	312.32
29	315.44
30	318.56
31	321.68
32	325	*
33	328.12
34	331.24
35	334.36
36	337.48
37	340.6
38	343.72
39	346.84
40	349.96
41	353.08
42	356.2
43	359.32
44	362.44
45	365.56
46	368.68
47	371.8
48	374.92
49	378.04
50	381.16
51	384.28
52	387.4
53	390.52
54	393.64
55	396.76
56	399.88
57	403
58	406.12
59	409.24
60	412.36
61	415.48
62	418.6
63	421.7	*
64	424.82
65	427.94
66	431.06
67	434.18
68	437.3
69	440.42
70	443.54
71	446.66
72	449.78
73	452.9
74	456.3	*
75	459.42
76	462.54
77	465.66
78	468.78
79	471.9
80	475.02
81	478.14
82	481.26
83	484.38
84	487.5
85	490.62
86	493.74
87	496.86
88	499.98
>=89	500	*

* These numbers were verified in-game. The remaining numbers are an estimate based on an increase of 3.12 per province. The 500 maximum was verified with nations that were much larger than 89 provinces. So while the 500 maximum has been verified, the fact that it is reached at 89 provinces is based on the estimated increase of 3.12.

NOTE: In IN there is no maximum.

Research

Research:

Research (Advanced) • Research Math Proofs • Research strategy • Research Cost - Supporting Data ( and )