I fought the urge as long as I could. But in the end I just couldn't resist. So, reluctantly, here is the table from the
Wiki article with columns added for centinepers (1/100 of a
neper or cNp):
Code: Select all
-- Then back to $1,000 --
If $1,000 --- It's a change of --- --- needs a change of ---
Becomes $ % cNp $ % cNp
Code: Select all
$0.00 -$1,000.00 -100% n/a +$1,000.00 n/a n/a
$100.00 -$900.00 -90% -230 +$900.00 +900% +230 [*]
$200.00 -$800.00 -80% -161 +$800.00 +400% +161
$300.00 -$700.00 -70% -120 +$700.00 +233% +120
$400.00 -$600.00 -60% -92 +$600.00 +150% +92
$500.00 -$500.00 -50% -69 +$500.00 +100% +69
$600.00 -$400.00 -40% -51 +$400.00 +67% +51
$700.00 -$300.00 -30% -36 +$300.00 +43% +36
$800.00 -$200.00 -20% -22 +$200.00 +25% +22
$900.00 -$100.00 -10% -11 +$100.00 +11% +11
$1,000.00 +$0.00 +0% +0 +$0.00 +0% +0
$1,100.00 +$100.00 +10% +10 -$100.00 -9% -10
$1,200.00 +$200.00 +20% +18 -$200.00 -17% -18
$1,300.00 +$300.00 +30% +26 -$300.00 -23% -26
$1,400.00 +$400.00 +40% +34 -$400.00 -29% -34
$1,500.00 +$500.00 +50% +41 -$500.00 -33% -41
$1,600.00 +$600.00 +60% +47 -$600.00 -38% -47
$1,700.00 +$700.00 +70% +53 -$700.00 -41% -53
$1,800.00 +$800.00 +80% +59 -$800.00 -44% -59
$1,900.00 +$900.00 +90% +64 -$900.00 -47% -64
$2,000.00 +$1,000.00 +100% +69 -$1,000.00 -50% -69
* For example using the Excel
LN function:
Code: Select all
-230 = 100 * LN( 100 / 1000)
+230 = 100 * LN(1000 / 100)
And here is the table with regularly spaced centinepers:
Code: Select all
-- Then back to $1,000 --
If $1,000 --- It's a change of --- --- needs a change of ---
Becomes $ % cNp $ % cNp
Code: Select all
$135.34 -$864.66 -86% -200 +$864.66 +639% +200 [**]
$165.30 -$834.70 -83% -180 +$834.70 +505% +180
$201.90 -$798.10 -80% -160 +$798.10 +395% +160
$246.60 -$753.40 -75% -140 +$753.40 +306% +140
$301.19 -$698.81 -70% -120 +$698.81 +232% +120
$367.88 -$632.12 -63% -100 +$632.12 +172% +100
$449.33 -$550.67 -55% -80 +$550.67 +123% +80
$548.81 -$451.19 -45% -60 +$451.19 +82% +60
$670.32 -$329.68 -33% -40 +$329.68 +49% +40
$818.73 -$181.27 -18% -20 +$181.27 +22% +20
$1,000.00 +$0.00 +0% +0 +$0.00 +0% +0
$1,221.40 +$221.40 +22% +20 -$221.40 -18% -20
$1,491.82 +$491.82 +49% +40 -$491.82 -33% -40
$1,822.12 +$822.12 +82% +60 -$822.12 -45% -60
$2,225.54 +$1,225.54 +123% +80 -$1,225.54 -55% -80
$2,718.28 +$1,718.28 +172% +100 -$1,718.28 -63% -100
$3,320.12 +$2,320.12 +232% +120 -$2,320.12 -70% -120
$4,055.20 +$3,055.20 +306% +140 -$3,055.20 -75% -140
$4,953.03 +$3,953.03 +395% +160 -$3,953.03 -80% -160
$6,049.65 +$5,049.65 +505% +180 -$5,049.65 -83% -180
$7,389.06 +$6,389.06 +639% +200 -$6,389.06 -86% -200 [**]
This should make everything perfectly clear.
Edited 6/24/2017 to add following showing how "If $1,000 Becomes" column calculated in 2nd table.
** For example using the Excel
EXP function:
Code: Select all
135.34 = 1000 * EXP(-200 / 100)
7,389.06 = 1000 * EXP(+200 / 100)