274
APPENDIX
(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(
f (x) = exp (– )
1
√2π σ
(x–µ)
2
2σ
2
Calculation result→Xreg µ: Mean
σ: Standard
deviation
2
pdfT(
f (x) =
Γ ( ) (1+ )
df+1
2
x
2
df
–
Γ ()
df
2
√ πdf
However: Γ(s) =
∫
x
s–1
e
–x
dx
∞
0
Calculation result→Xreg
df+1
2
EL-9650-Appendix (265-281) 8/3/00, 5:06 PM274