ASSIGNMENT 1, MAY 2020
Question 1 (15 marks)
Fuji Software, Inc. has the following mutually exclusive projects.
Year Project A Project B
0 -$15,000 -$18,000
1 9,500 10,500
2 6,000 7,000
3 2,400 6,000
a) Suppose Fuji’s payback period cutoff is two years. Which of these projects should be
choosen?
(6 marks)
ANSWERS:
Project A
𝑢𝑛𝑐𝑜𝑣𝑒𝑟𝑒𝑑 𝑐𝑜𝑠𝑡 𝑎𝑡 𝑡ℎ𝑒 𝑠𝑡𝑎𝑟𝑡 𝑜𝑓 𝑡ℎ𝑒 𝑦𝑒𝑎𝑟
𝑃𝐵𝑃 = 𝑌𝑒𝑎𝑟 𝐵𝑒𝑓𝑜𝑟𝑒 𝑅𝑒𝑐𝑜𝑣𝑒𝑟𝑦 +
𝑐𝑎𝑠ℎ 𝑓𝑙𝑜𝑤 𝑑𝑢𝑟𝑖𝑛𝑔 𝑡ℎ𝑒 𝑦𝑒𝑎𝑟
5500
𝑃𝐵𝑃 = 𝑌𝑒𝑎𝑟 1 +
6000
𝑃𝐵𝑃 = 1 𝑦𝑒𝑎𝑟 + 0.917
𝑃𝐵𝑃 = 1.917 𝑦𝑒𝑎𝑟𝑠
Project B
𝑢𝑛𝑐𝑜𝑣𝑒𝑟𝑒𝑑 𝑐𝑜𝑠𝑡 𝑎𝑡 𝑡ℎ𝑒 𝑠𝑡𝑎𝑟𝑡 𝑜𝑓 𝑡ℎ𝑒 𝑦𝑒𝑎𝑟
𝑃𝐵𝑃 = 𝑌𝑒𝑎𝑟 𝐵𝑒𝑓𝑜𝑟𝑒 𝑅𝑒𝑐𝑜𝑣𝑒𝑟𝑦 +
𝑐𝑎𝑠ℎ 𝑓𝑙𝑜𝑤 𝑑𝑢𝑟𝑖𝑛𝑔 𝑡ℎ𝑒 𝑦𝑒𝑎𝑟
500
𝑃𝐵𝑃 = 𝑌𝑒𝑎𝑟 1 + 𝑌𝑒𝑎𝑟 2 +
6000
𝑃𝐵𝑃 = 2 𝑦𝑒𝑎𝑟𝑠 + 0.083
𝑃𝐵𝑃 = 2.083 𝑦𝑒𝑎𝑟𝑠
, ❖ Fuji Software, Inc. should choose project A because the payback period is less than
the acceptable payback period.
b) Suppose Fuji uses the NPV rule to rank these two projects. Which project should be
choosen if the appropriate discount rate is 15%?
(9 marks)
Project A
𝐶𝐹 𝐶𝐹 𝐶𝐹
𝑁𝑃𝑉 = 1
+ 2
+⋯ − 𝐼𝐶
(1 + 𝑘) (1 + 𝑘) (1 + 𝑘)3
9,500 6,000 2,400
𝑁𝑃𝑉 = + + − 15,000
(1 + 15%)1 (1 + 15%)2 (1 + 15%)3
𝑁𝑃𝑉 = 8,260.87 + 4,536.86 + 1,578,04 − 15,000
𝑁𝑃𝑉 = 14,375.77 − 15,000
𝑁𝑃𝑉 = −$624.23
Project B
𝐶𝐹 𝐶𝐹 𝐶𝐹
𝑁𝑃𝑉 = + + ⋯ − 𝐼𝐶
(1 + 𝑘)1 (1 + 𝑘)2 (1 + 𝑘)3
10,500 7,000 6,000
𝑁𝑃𝑉 = + + − 18,000
(1 + 15%)1 (1 + 15%)2 (1 + 15%)3
𝑁𝑃𝑉 = 9,130.43 + 5,293.01 + 3,945.10 − 18,000
𝑁𝑃𝑉 = 18,368.54 − 18,000
𝑁𝑃𝑉 = $368.54
❖ Fuji Software, Inc. should choose project B because the firm will earn a return greater
than its cost of capital.