Answer:
African Route costs = -75,000, period 1 revenues = 215,000
Greek Route costs = -50,000, period 2 revenues = 140,000
Sumerian Route costs = -125,000, period 3 revenues = 385,000
discount rate = 5%
a) African route:
NPV = -75,000 + 215,000/1.05 = 129,762
B/C ratio = 215/75 = 2.87
Payback = 1 period
IRR = 187%
Greek route:
NPV = -50,000 + 140,000/1.05² = 76,984
B/C ratio = 140/50 = 2.8
Payback = 2 periods
IRR = 67%
Sumerian route
NPV = -125,000 + 385,000/1.05³ = 332,577
B/C ratio = 385/125 = 3.08
Payback = 3 periods
IRR = 45%
b) rank according to:
NPV = Sumerian route, African route, Greek route
B/C ratio = Sumerian route, African route, Greek route
Payback = African route, Greek route, Sumerian route
IRR = African route, Greek route, Sumerian route
c) if the family had unlimited resources, they should invest in the 3 routes since all their NPVs are positive.
d) African and Greek routes since they yield the highest gains (IRR).
