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Equations Flashcards

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1
Q

i(p)

A

p[(1+i)^(1/p) - 1]

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2
Q

v

A

(1+i)^-1
1 - d

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3
Q

d

A

i/(1+i)
1 - v
iv

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4
Q

d(p)

A

p[1 - (1+i)^-(1/p)]

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5
Q

delta

A

ln(1+i)

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6
Q

a:<n></n>

A

(1 - v^n) / i

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7
Q

adue:<n></n>

A

(1 - v^n) / d
(1 + i) * a:<n></n>

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8
Q

abar:<n></n>

A

(1 - v^n) / delta

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9
Q

s:<n></n>

A

[(1+i)^n - 1] / i
(1+i)^n * a:<n></n>

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10
Q

sdue:<n></n>

A

[(1+i)^n - 1] / d

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11
Q

sbar:<n></n>

A

[(1+i)^n - 1] / delta

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12
Q

(Ia):<n></n>

A

(adue:<n> - nv^n) / i</n>

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13
Q

(Iadue):<n></n>

A

(adue:<n> - nv^n) / d</n>

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14
Q

(Iabar):<n></n>

A

(adue:<n> - nv^n) / delta</n>

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15
Q

(Ibarabar):<n></n>

A

(abar:<n> - nv^n) / delta</n>

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16
Q

a(p):<n></n>

A

(1 - v^n)/i(p)
where (1 + i) = (1 + i(p)/p)^p

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17
Q

s(p):<n></n>

A

[(1+i)^n - 1]/i(p)
where (1 + i) = (1 + i(p)/p)^p

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18
Q

adue(p):<n></n>

A

(1 - v^n)/d(p)
where (1 - d) = (1 - d(p)/p)^p

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19
Q

sdue(p):<n></n>

A

[(1+i)^n - 1]/d(p)
where (1 - d) = (1 - d(p)/p)^p

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20
Q

tqx

A

1 - l(x+t)/lx

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21
Q

qx

A

dx/lx

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22
Q

tpx

A

l(x+t)/lx

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23
Q

px

A

1 - qx
l(x+1)/lx

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24
Q

n|tqx

A

npx * tq(x+n)
npx - (n+t)px
(n+t)qx - nqx
[l(x+n) - l(x+n+t)]/lx

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25
n|qx
npx * q(x+n) [l(x+n) - l(x+n+1)]/lx d(x+n)/lx
26
A:x
Using TMNL16 / TFNL16, tabulated at 4% and 6%. Using PMA16 / PFA16 then A:x = 1 - d * adue:x
27
TA:x:
EA:x: - PE:x: = EA:x: - v^n * npx Using TMNL16 / TFNL16, if x+n = 60 or 65, then TA:x: tabulated at 4% and 6%. If not, then A:x - v^n * npx * A:(x+n) Using PMA16 / PFA16 then use formulas as above, calculating A:x = 1 - d * adue:x
28
PE:x:
Using TMNL16 /TFNL16 and PMA16 / PFA16: v^n * npx
29
EA:x:
TA:x: + PE:x: = A:x - v^n * npx * A:(x+n) + v^n * npx Using TMNL16 / TFNL16, if x+n = 60 or 65, then TA:x: tabulated at 4% and 6%. If not, then A:x - v^n * npx * A:(x+n) Using PMA16 / PFA16 then use formulas as above, calculating A:x = 1 - d * adue:x
30
n|A:x
v^n * npx * A:(x+n)
31
m|TA:x:
v^m * mpx * TA:(x+m):
32
Abar:x
(1+i)^0.5 * A:x 1 - delta * abar:x
33
TAbar:x:
(1+i)^0.5 * TA:x:
34
EAbar:x:
TAbar:x: + PE:x: (1+i)^0.5 * TA:x: + v^n * npx 1 - delta * abar:x:
35
n|Abar:x
v^n * npx * (1+i)^0.5 * A:(x+n)
36
m|TAbar:x:
v^m * mpx * TAbar:(x+m):
37
(IA):x
Using TMNL16 / TFNL16, this is tabulated at 4% and 6%.
38
I(TA):x:
Using TMNL16 / TFNL16 at 4% and 6% (IA):x - v^n * npx * [(IA):(x+n) + n*A:(x+n)]
39
I(EA):x:
Using TMNL16 / TFNL16 at 4% and 6%: = (IA):x - v^n * npx * [(IA):(x+n) + n * A:(x+n)] + n * v^n * npx
40
n|(IA):x
v^n * npx * (IA):(x+n)
41
(IAbar):x
(1+i)^0.5 * (IA):x
42
I(TAbar):x:
(1+i)^0.5 * I(TA)x: (1+i)^0.5 * [(IA):x - v^n * npx * [(IA):(x+n) + n*A:(x+n)]]
43
I(EAbar):x:
(1+i)^0.5 * I(TA)x: + n * v^n * npx (1+i)^0.5 * v^n * npx * [(IA):(x+n) + n*A:(x+n)] + n * v^n * npx
44
n|(IAbar):x
v^n * npx * (IAbar):(x+n)
45
adue:x
Using TMNL16 / TFNL16 tabulated at 4% and 6%. Using PMA16 / PFA16 tabulated at 4%
46
a:x
adue;x - 1
47
adue:x:
Using TMXL16 is x+n = 60 or 65, then tabulated at 4% and 6%. If not, adue:x - v^n * npx * adue:(x+n)
48
a:x:
Using TXNL16 if x+n = 60 or 65, = adue:x: - (1 - v^n * npx) If not, a:x - v^n * npx * a:(x+n)
49
adue:bar(x:)
adue: + v^n * npx * adue:(x+n)
50
a:bar(x:)
a: + v^n * npx * a:(x+n)
51
n|adue:x
v^n * npx * adue:(x+n)
52
n|a:x
v^n * npx * a:(x+n)
53
abar:x
adue:x - 1/2
54
abar:x:
Using TXNL16 if x+n = 60 or 65, then = adue:x: - 0.5(1 - v^n * npx) If not, = adue:x - v^n * npx * adue:(x+n) - 0.5(1 - v^n * npx)
55
abar:bar(x:)
abar: + v^n * npx * abar:(x+n)
56
n|abar:x
v^n * npx * abar:(x+n)
57
(Iadue):x
Using TXNL16 tabulated at 4% and 6%
58
(Ia):x
(Iadue):x - adue:x
59
(Iadue):x:
(Iadue):x - v^n * npx * [(Iadue):(x+n) + n * adue:(x+n)]
60
(Ia):x:
(Ia):x - v^n * npx * [(Ia):(x+n) + n * a:(x+n)]
61
n|(Iadue):x
v^n * npx * (Iadue):(x+n)
62
n|(Ia):x
v^n * npx * (Ia):(x+n)
63
(Iabar):x
(Iadue):x - 0.5 * adue:x
64
(Iabar):x:
(Iabar):x - v^n * npx * [(Iabar):(x+n) + n * abar:(x+n)]
65
n|(Iabar):x
v^n * npx * (Iabar):(x+n)
66
adue(p):x
adue:x - (p-1)/2p
67
a(p):x
a:x + (p-1)/2p adue:x - (p+1)/2p
68
adue(p):x:
Using TXNL16 if x+n = 60 or 65, then = adue:x: - [(p-1)/2p] * [1 - v^n * npx] If not = adue(p):x - v^n * npx * adue(p):(x+n)
69
a(p):x:
Using TXNL16 if x+n = 60 or 65, then = adue:x: - [(p+1)/2p] * [1 - v^n * npx] If not = a(p):x - v^n * npx * a(p):(x+n)
70
adue(p):bar(x:)
adue(p): + v^n * npx * adue(p):(x+n)
71
a(p):bar(x:)
a(p): + v^n * npx * a(p):(x+n)
72
n|adue(p):x
v^n * npx * adue(p):(x+n)
73
n|a(p):x
v^n * npx * a(p):(x+n)
74
tqxy
1 - tpx * tpy
75
tpxy
tpx * tpy
76
tqbar(xy)
tqx * tqy
77
tpbar(xy)
1 - tqx * tqy tpx + tpy - tpx * tpy
78
tq1xy
tq1xx = 0.5 tqxx
79
tq2xy
tq2xx = 0.5 tqbar(xx) = 0.5 (tqx)^2
80
A:x:y
1 - d * adue:x:y
81
Abar:x:y
1 - delta * abar:x:y (1+i)^0.5 * (1 - delta * adue:x:y)
82
A:bar(x:y)
A:x + A:y - A:x:y 1 - d * adue:bar(x:y)
83
Abar:bar(x:y)
Abar:x + Abar:y - Abar:x:y 1 - delta * abar:bar(x:y)
84
TA:x:y:
A:x:y - v^n * npx * npy * A:(x+n):(y+n)
85
TAbar:x:y:
Abar:x:y - v^n * npx * npy * Abar:(x+n):(y+n)
86
PE:x:y:
v^n * npx * npy
87
EA:x:y:
TA:x:y: + PE:x:y: 1 - d * adue:x:y:
88
EAbar:x:y:
TAbar:x:y: + PE:x:y: 1 - delta * abar:x:y:
89
adue:x:y
Using PXA16 tabulated at 4%
90
adue:x:y:
adue:x:y - v^n * npx * npy * adue:(x+n):(y+n)
91
a:x:y
adue:x:y - 1
92
a:x:y:
a:x:y - v^n * npx * npy * a:(x+n):(y+n)
93
abar:x:y
adue:x:y - 1/2
94
abar:x:y:
abar:x:y - v^n * npx * npy * abar:(x+n):(y+n)
95
adue:bar(x:y)
adue:x + adue:y - adue:x:y
96
adue:bar(x:y):
adue:x: + adue:y: - adue:x:y:
97
a:bar(x:y)
a:x + a:y - a:x:y
98
a:bar(x:y):
a:x: + a:y - a:x:y:
99
abar:bar(x:y)
abar:x + abar:y - abar:x:y
100
abar:bar(x:y):
abar:x: + abar:y: - abar:x:y:
101
a:x|y & adue:x|y
a:y - a:x:y = (adue:y - 1) - (adue(x:y) - 1) - adue:y - adue:x:Y = adue:x|y
102
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