The annual revenues (in $1000 units) associated with several large apartment complexes are $0, $350, $290, $460, $150, and $320 for years 0, 1, 2, 3, 4, and 5, respectively. Determine (1) whether each cash flow series is conventional or nonconventional, (2) the maximum number of real-number roots, and (3) if there is one, positive real-number i* value. The cash flows for years 0, 1, 2, 3, 4, and 5, respectively, are:
(a) $?1500, $?90, $?40, $?85, $?60, and $?90
(b) $?1500, $?450, $?300, $?400, $?125, and $?400
(c) $1500, $?450, $?300, $?500, $?200, $?400
(d) $?1500, $?450, $?300, $?400, $?125, and $?310
(a) Net cash flow: $-1500, $260, $250, $375, $90, and $230
Cum. cash flow: $-1500, $-1240, $-990, $-615, $-525, and $-295
Conventional; Descartes rule: 1; Norstrom’s criterion: inconclusive
(b) Net cash flow: $-1500, $-100, $-10, $60, $25, and $-80
Cum cash flow: $-1500, $-1600, $-1610, $-1550, $-1525, and $-1605
Non-conventional; Descartes rule: 2; Norstrom’s criterion: inconclusive
(c) Net cash flow: $1500, $-100, $-10, $-40, $-50, and $-80
Cum cash flow: $1500, $-1400, $1390, $1350, $1300, and $1220
Conventional; Descartes rule: 1; Norstrom’s criterion: S 0 > 0, does not apply
(d) Net cash flow: $-1500, $-100, $-10, $60, $25, and $10
Cum cash flow: $-1500, $-1600, $-1610, $-1550, $-1525, and $-1515
Conventional; Descartes rule: 1; Norstrom’s criterion: inconclusive
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