Formula For Determining Prize Money

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BOWLING LEAGUE - METHODS FOR CALCULATING PRIZE LISTS
  1. The left column 'Formula Payout' cannot be modified, but the right column can be edited any way you like to determine how much each player will actually receive. In this example, if you think that first place gets too much money and second place doesn't get enough, you could change the actual payout levels to something like 20 and 12.
  2. By using the Prize Calculator above, you agree to the Terms and Conditions on the use of this website. Calculate Prize Won a prize? Use this calculator to find out your exact prize amount. Calculate Prize 计算奖金; Number Generator 随选号码; Draw 开彩日期.

Using the formula from business we can calculate the present value of the prize money that will be paid over its payment period so the total paid out over the payment period is the advertised.


You can download a 2-PagePDF of this file (if Browser Text Settings have enlarged original file).
Also see additional information regarding lots of other aspects of bowling league competition.
The bowling league prize fund can be distributed by paying by team position or for points won.
Points might be an incentive for competition, but can also lead to a wide spread between teams.
Recommend making a prize list that will be equitable, so all teams enjoy the competition.
Another consideration would be to keep the weekly personal cost reasonable, to avoid bowler loss.
Examples here will show how to divide the league's money fund among the teams and also how
individual teams can distribute money for individuals, based on their own weekly involvement.
When determining proposed prizes, the various awards will probably need additional adjustments,
until all of the numbers work out for the best possible plan for distributing the funds available.
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USBCLeagueOperations Handbookhas several items about league prize funds.
(Actual Book Page 41) Adult 'Suggested League Rules' also includes:
#6.) A prize list, drawn up by a committee appointed by the league president, must be
submitted for approval by the league board of directors / full membership (select one)
within five weeks after the league begins. (Refer to USBC Rule 117a.)
Also available is a separate PrizeList PDF regarding fairness, when to adopt and how to vote.
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EXAMPLE: League has ten 5-person teams and will bowl 30 weeks of team competition.
(League 'lane and other center fees' have already been determined and set aside.)
League Fund $1.00 x 50 persons = $50. per week x 30 = $ 1500.
League determined some money to be set aside to cover: ( - 360.) might need adjustment
Prizes for High Scores (Games & Series, for Teams & Individuals, Handicap & Scratch),
& Other Achievements: Most Improved Bowler, High Average, etc.
& Other Expenses Possibly: Secretary & Treasurer Salaries, Banquet expenses.
Balance available for Team Position Awards for Full Season $ 1140.
(If League uses 2 Half-Seasons for Awards, Divide by 2) = ($ 570. for Each Half)
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1.) TEAM POSITION CALCULATIONS:
To divide the money, three formulas can be used with the following definitions:
N The number of places to be paid (teams)
M N-1
$USED The Money Total Used for All Places
$DIFF The Money Difference Between Each Position
$LAST The Money Paid to the Last Place Team
$FIRST The Money Paid to the First Place Team
K (N x M) / 2
Formula (1) $LAST [ $USED - ( K x $DIFF) ] / N
Formula (2) $FIRST [ $LAST + ( M x $DIFF) ]
Formula (3) $USED [(N x $LAST) + ( K x $DIFF) ]
The following examples show how these formulas can be used for various $DIFF values.
For this league: N = 10, M = 9, K = 45, $USED = $570.
If we use $DIFF = $4:
Formula (1) $LAST = [570. - (45 x 4)] / 10 or [570 - 180] / 10 or 390./10 = $ 39.
Formula (2) $FIRST = [ 39. + ( 9 x 4)] or [39 + 36] = $75.
Places 1-10: $75, 71, 67, 63, 59, 55, 51, 47, 43, 39.
Formula (3) $USED = [(10 x 39.) + (45 x 4)] or [390. + 180] = $570.
If we use $DIFF = $2:
Formula (1) $LAST = [570. - (45 x 2)] / 10 or [570. - 90] / 10 or 480/10 = $ 48.
Formula (2) $FIRST = [ 48. + (9 x 2)] or [48. + 18] = $66.
Places 1-10: $66, 64, 62, 60, 58, 56, 54, 52, 50, 48.
Formula (3) $USED = [(10 x 48.) + (45 x 2)] or [480. + 90] = $570.
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As the team positions are usually determined by total points accumulated, if 2 teams have earned
the same point totals, the 2 positions would be combined and the money would be split evenly.
Example: (positions 5 and 6, original values 58. + 56. = 114. / 2 = 57. each)
The team place money would then be: Places 1-10: $66, 64, 62, 60, 57, 57, 54, 52, 50, 48.
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If the league was using 3 rounds instead of 2 halves, the $1140 available would be divided by 3.
The formulas would be recalculated with $Used = $380 for each round.
If the calculated total dollars for each round results in a dollars and cents amount, the number
can be rounded to an even dollar amount and any extra money could be added for other awards.
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2.) TEAM POINTS CALCULATIONS: (League awards 7 points, 2 for games, 1 for series)

Formula For Determining Prize Money Formula

For Each Half Season: (15 weeks X 7 points X 10 teams X 0.5 = 525 points available) $570. available / 525 points = $1.0857 payout per point (Adjust to a reasonable number.)
Adjust to an even number, to ease payout for split point ties. (Try using $1.00)
525 points X $1.00 = $525.00, plus extra money left over $45. ($90. for full year)
525 points X $1.10 = $577.50 ($7.50 over amount allocated.) ($15. for full year)
$1.10 probably better value (Adjust the set aside $360. some way.)
If 3 Rounds Used: (10 weeks X 7 points X 10 teams X 0.5 = 350 points available) $380. available / 350 points = $1.0857 payout per point (Adjust to a reasonable number.)

Formula For Determining Prize Money Distribution

350 points X $1.00 = $350.00, plus extra money left over $30. ($90. for full year)
350 points X $1.10 = $385.00 ($5.00 over amount allocated.) ($15. for full year)
$1.10 probably better value (Adjust the set aside $360. some way.)
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Other Considerations:
A.) If the League has an uneven number of teams
, there will be additional adjustments:
Team Position calculations example work ok (Split season N=9, M=8, K=36, $USED=495)
B.) USBC Rule 104d describes points considerations - - Earn, Draw or Bye situations.
Teams may be required to bowl at least their team average less 10 pins per player,
Formula For Determining Prize Money
if they don't,
some points may be 'classified as unearned' so some money may be set aside at season's end.
If so, this money can be used for another purpose, such as a special prize for some reason.)
C.) USBC website FAQ section may also indicate items that could cause other adjustments.
If the League used Handicap Based on Team Average Difference between Team & Opponent:
That method only determines which of 2 teams bowling together won points for team games or series.
The higher average team received zero handicap and the other team received a calculated value.
Every team did not receive correct handicap for every game bowled, every week, during the season.
Awards for High Games/Series have been distorted, as there was no common basis for comparison.
Calculator
if they don't,
some points may be 'classified as unearned' so some money may be set aside at season's end.
If so, this money can be used for another purpose, such as a special prize for some reason.)
C.) USBC website FAQ section may also indicate items that could cause other adjustments.
If the League used Handicap Based on Team Average Difference between Team & Opponent:
That method only determines which of 2 teams bowling together won points for team games or series.
The higher average team received zero handicap and the other team received a calculated value.
Every team did not receive correct handicap for every game bowled, every week, during the season.
Awards for High Games/Series have been distorted, as there was no common basis for comparison.
Achievemnets deserving recognition are not recognizable and are overlooked.
The championship points competition my involve just a few of the league's teams. An important
tool to keep all of the league's teams involved in all aspects of competition has not been utilized.
In addition, leagues should also re-consider further impact if using total pins as a tie-breaker.
The league should seriously consider adopting the recommended handicap method, for next season.
Several Bowling Industry leaders received requests to improve handicap instructions on recap sheets.
The problems are explained in the following PDF that can be used for league discussion.
http://userpages.bright.net/~eslam/LeagueSheet.pdf
Captains have responsability to distribute prize money to team members, in a timely manner.
(Teams with additional members usually prorate for the number of games actually bowled.)
Calculations Example: Nbowlers x Ngames x Nweeks = Total Games Possible
Bowler Games / Total Games = Share of prize $75.
3 members A-B-C each had 90 games / 450 = .20 $15. each ($45. used)
1 member D had 51 games / 450 = .1133 $ 8.50
1 member E had 75 games / 450 = .1666 $12.50
1 member F had 54 games / 450 = .12 $ 9.
Note: Bowlers also receivecredit for weeks they paid and an absentee score was used for them.

Professional golf can be a lucrative profession for the few who are good enough to play on the PGA Tour. In 2011, for example, Luke Donald led all Tour players with $6,683,214 in earnings, according to the PGA Tour's website, while 89 players earned at least $1 million.

Players earn money based on their performances in Tour events; the higher a player finishes, the more money he earns. The formula for distributing a non-major tournament's purse is set by the PGA Tour.

Step 1

Determine the tournament's total purse. Each PGA Tour event offers its own purse, which is announced well before the event takes place.

Step 2

Match a player's final standing with the percentage of the purse assigned to his position. The PGA Tour allocates 18 percent of a standard tournament's purse to the winner. The remainder of the top 10 finishers receives, in order, the following percentages of the purse: 10.8, 6.8, 4.8, 4, 3.6, 3.35, 3.1, 2.9 and 2.7. The percentages continue to decline down to the 70th place finisher, who receives 0.2 percent of the purse. Players who don't make the 36-hole cut receive no prize money. If more than 70 professional players make the cut, each position from 71st place on down receives $100 less than the previous position. For example, if the purse is $5 million and 72 pros make the cut, the 70th place golfer receives $10,000, the 71st receives $9,900 and the 72nd $9,800. If fewer than 70 golfers complete a tournament, prize money for the vacant positions is not awarded.

Step 3

Pass over any amateurs when calculating the players' earnings.

Amateurs occasionally compete in PGA Tour events but don't accept any prize money, so they're treated as if they don't exist when the purse is divided. For example, if an amateur finishes 20th in a PGA Tour event, the 21st place golfer receives 20th-place money, and so on down the list.

Step 4

Divide the money among players who tie for a position.

For example, if three players tie for third place in a $5 million event, add the percentages normally awarded for third through fifth places (6.8 + 4.8 + 4 = 15.6), then divide by the number of golfers who tied for the position (15.6/3 = 5.2). Each golfer is awarded 5.2 percent of the purse -- in this case, $260,000 apiece.





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