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Appendix
Calculation result→Xreg
Calculation result→Xreg
µ: Mean
σ: Standard
deviation
However: Γ(s) = ∫
∞
0
x
s–1
e
-x
dx
2. Error conditions during financial calculations
•r ≤ -1
•N = 0 in PMT calculations
• I% = 0 and PMT = 0, or I% ≠ 0 and FV = (1/r) (1 + r × s) × PMT, in N calculations.
s = 1 (Pmt_Begin)
s = 0 (Pmt_End)
In I% calculations
If PMT > 0:
Pmt_End mode: PV ≥ 0 and FV
+ PMT ≥ 0
PV < 0 and FV + PMT < 0
Pmt_Begin mode: PV + PMT ≥ 0 and FV ≥ 0
PV + PMT < 0 and FV < 0
If PMT < 0:
Pmt_End mode: PV > 0 and FV
+ PMT > 0
PV ≤ 0 and FV + PMT ≤ 0
Pmt_Begin mode: PV + PMT > 0 and FV > 0
PV + PMT ≤ 0 and FV ≤ 0
If PMT = 0: PV
÷ FV ≥ 0
•FV, N
× PMT, PV ≥ 0 or FV, N × PMT, PV ≤ 0
• Irr calculation: all cash flows have the same sign.
3. Distribution function
1 pdfnorm(
1
f (x) = exp (– )
(x – µ)
2
2σ
2
2πσ
2 pdfT(
f (x) =
πdf
df
2
x
2
df
df + 1
2
df + 1
2
-
Γ ( )
Γ ( ) (1
+ )