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Wednesday, November 23, 2011

CBA: How much signing bonus pool should each team be allocated?

By Tangotiger, 02:05 PM

Jeff Passan is reporting:

The draft pools start this season with the Houston Astros – who pick No. 1 overall – set to receive $11.5 million to spend in the first 10 rounds. They end with the New York Yankees having a $4.5 million budget over 10 rounds

Does it make sense?

Check out the WAR for players (through age 29) drafted in the June draft, for 1965-1999, for the top 300 picks, grouped by “order”, where order=1 is the 1st, 31st, 61st, etc picks:

WAR    order
100
%    1
72
%    2
64
%    3
59
%    4
67
%    5
60
%    6
64
%    7
48
%    8
74
%    9
70
%    10
38
%    11
47
%    12
54
%    13
44
%    14
32
%    15
69
%    16
46
%    17
40
%    18
69
%    19
62
%    20
23
%    21
46
%    22
44
%    23
38
%    24
56
%    25
46
%    26
32
%    27
37
%    28
45
%    29
56
%    30

I indexed it relative to order=1.  As you can see, if you are slotted to pick 2nd through around 10th, you get 64% of the value of picking 1st (with not much difference between picking 2nd through 10th).  Picking 11th through 30th gets you 46% of picking 1st.

MLB is giving the first team to pick 11.5MM$ to play with, while the 30th place team is getting 4.5MM$ (or 39% of the first team).  That seems pretty reasonable.

Presumably MLB has a sliding scale for each spot.  In my case, I have spots 11 through 30 to be at 46%.  Presumably, MLB has those spots at something like 53% down to 39% (so that they too will come out to average my 46%).

Using the above data, this is my recommended pool money for each slot (note that things get a bit complicated with the extra lottery picks that I have not modeled here; but, someone can take my above chart, and work it out):

WAR    Tango    pick
100
%    100%    1
72
%    72%    2
64
%    70%    3
59
%    68%    4
67
%    66%    5
60
%    64%    6
64
%    62%    7
48
%    60%    8
74
%    58%    9
70
%    57%    10
38
%    56%    11
47
%    55%    12
54
%    54%    13
44
%    53%    14
32
%    52%    15
69
%    51%    16
46
%    50%    17
40
%    49%    18
69
%    48%    19
62
%    47%    20
23
%    46%    21
46
%    45%    22
44
%    44%    23
38
%    43%    24
56
%    42%    25
46
%    41%    26
32
%    40%    27
37
%    39%    28
45
%    38%    29
56
%    37%    30

If MLB ends up having a scale anything close to what I’m proposing, then hats off to whoever at MLB worked it out.  You did a great job!

(7) Comments • 2011/11/27 • SabermetricsMLB_Management
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November 23, 2011
CBA: How much signing bonus pool should each team be allocated?