Chapter

Appendix. Illustrative Tables Relating Percentage Rates of Allocation to Hypothetical Quota Totals

Author(s):
International Monetary Fund
Published Date:
October 1969
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The attached tables show the percentage rates of allocation which are specified in Part III of the Report (paragraph 4) in relation to hypothetical totals of quotas of participants that were Fund members on December 31, 1969. Although only certain ranges of hypothetical quota totals are shown, the tables must be understood to extend in principle to quota totals which are higher than the highest value actually shown as well as to totals which are lower than the lowest value actually shown. This extension can be made by following the arithmetical procedure on which the data in these two tables are calculated.1

Table 1 shows percentage rates for the allocation which is proposed to take place on January 1, 1970. Each figure in the center column indicates the percentage rate of allocation that would apply in accordance with paragraph 4 of the proposal if the total of quotas of participants on the date before allocation fell within the range shown in the left-hand column. The right-hand column indicates the total amounts of special drawing rights that would be allocated by applying this percentage rate if the total participants’ quotas were equal, respectively, to the lower or upper limit of the range shown in the left-hand column.

Table 1
Range of SDR
Quotas ofApplicableAllocation
Participants 1Per Cent1970
(billion U.S.of Quota(billion U.S.
dollars)(per cent)dollars)
17.99-18.0919.43.491-3.509
18.09-18.1819.33.491-3.509
18.18-18.2819.23.491-3.509
18.28-18.3719.13.491-3.509
18.37-18.4719.03.491-3.509
18.47-18.5718.93.491-3.509
18.57-18.6718.83.491-3.509
18.67-18.7718.73.491-3.509
18.77-18.8718.63.491-3.509
18.87-18.9718.53.491-3.509
18.97-19.0718.43.490-3.510
19.07-19.1818.33.490-3.510
19.18-19.2818.23.490-3.510
19.28-19.3918.13.490-3.510
19.39-19.5018.03.490-3.510
19.50-19.6117.93.490-3.510
19.61-19.7217.83.490-3.510
19.72-19.8317.73.490-3.510
19.83-19.9417.63.490-3.510
19.94-20.0617.53.490-3.510
20.06-20.1717.43.490-3.510
20.17-20.2917.33.490-3.510
20.29-20.4117.23.490-3.510
20.41-20.5317.13.490-3.510
20.53-20.6517.03.490-3.510
20.65-20.7716.93.490-3.510
20.77-20.9016.83.490-3.510
20.90-21.0216.73.489-3.511
21.02-21.1516.63.489-3.511
21.15-21.2816.53.489-3.511
21.28-21.4116.43.489-3.511
21.41-21.5416.33.489-3.511

Table 2 shows the corresponding data for the proposed second and third allocations (on January 1, 1971 and January 1, 1972). Table 2 is extended to higher hypothetical quota totals than Table 1 in order to make allowance for quota increases that may become effective before January 1, 1972.

Table 2
Range of SDR
Quotas ofApplicableAllocation
Participants 1Per Cent1971, 1972
(billion U.S.of Quota(billion U.S.
dollars)(per cent)dollars)
19.42-19.5415.42.990-3.010
19.54-19.6715.32.990-3.010
19.67-19.8015.22.990-3.010
19.80-19.9315.12.990-3.010
19.93-20.0715.02.990-3.010
20.07-20.2014.92.990-3.010
20.20-20.3414.82.990-3.010
20.34-20.4814.72.990-3.010
20.48-20.6214.62.990-3.010
20.62-20.7614.52.990-3.010
20.76-20.9114.42.990-3.010
20.91-21.0514.32.990-3.011
21.05-21.2014.22.989-3.011
21.20-21.3514.12.989-3.011
21.35-21.5114.02.989-3.011
24.90-25.1112.02.987-3.013
25.11-25.3211.92.987-3.013
25.32-25.5311.82.987-3.013
25.53-25.7511.72.987-3.013
25.75-25.9711.62.987-3.013
25.97-26.2011.52.987-3.013
26.20-26.4311.42.987-3.013
26.43-26.6711.32.987-3.013
26.67-26.9111.22.987-3.013
26.91-27.1511.12.987-3.014
27.15-27.4011.02.986-3.014
27.40-27.6510.92.986-3.014
27.65-27.9110.82.986-3.014
27.91-28.1710.72.986-3.014
28.17-28.4410.62.986-3.014
28.44-28.7110.52.986-3.014
28.71-28.9910.42.986-3.014
28.99-29.2710.32.985-3.015
29.27-29.5610.22.985-3.015
29.56-29.8510.12.985-3.015
29.85-30.1510.02.985-3.015
30.15-30.469.92.985-3.015
30.46-30.779.82.985-3.015
30.77-31.099.72.985-3.016
31.09-31.419.62.984-3.016
31.41-31.759.52.984-3.016
31.75-32.099.42.984-3.016

The values given in these two tables are calculated as follows: first, percentage rates of allocation are listed in descending order in the center column, declining from line to line by one tenth of one percentage point; next, the target allocations of special drawing rights, equivalent to $3.5 billion in Table 1 and $3.0 billion in Table 2, are divided, first, by the percentage rate in the center column plus five hundredths of one percentage point and, second, by this percentage rate minus five hundredths of one percentage point to yield the range shown in the left-hand column; finally, the lower and upper values of that range are multiplied by the percentage rate shown in the center column to yield the lower and upper values of the range of allocation of special drawing rights in the right-hand column.

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