Work Hours
Everyday: 北京时间8:00 - 23:59
Revision
NPV, EVM and project compression
NPV
§ Find discount factor. Remember the formula 1/(1+0.X)N
§ Find discounted costs
§ Find discounted benefits
§ Find the NPV= Total discounted benefits – total discounted costs
§ Find the ROI= NPV/ total discounted costs
§ Remember! ROI needs to be turned into a %, so always multiply the decimal by 100
§ Likely to be presented as multiple-choice options but calculations required to find the
correct answer
Q1: Initial investment: $30,000
Cost of capital: 10%
Year N 0 1 2 3 4
Costs 30,000 7,000 16,000 4,000 3,000
Benefits 6,000 16,000 26,000 14,000
Find the total discounted costs
Find the total discounted benefits
Find the NPV
Find the ROI
Q2: Initial investment: $14,000
Cost of capital: 11%
Year N 0 1 2 3 4
Costs 14,000 4,000 7,000 8,000 2,000
Benefits 20,000 13,000 17,000 16,000
Find the total discounted costs
Find the total discounted benefits
Find the NPV
Find the ROI
Q3: Initial investment: $11,000
Cost of capital: 8%
Year N 0 1 2 3 4
Costs 11,000 5,000 3,000 6,000 7,000
Benefits 10,000 11,000 12,000 11,000
Find the total discounted costs
Find the total discounted benefits
Find the NPV
Find the ROI
EVM
§ Budget at completion= BAC (remember: this is your starting budget for the project)
§ Actual cost= AC (remember: this is the actual cost of the work you have completed)
§ Planned value= PV (remember: this is the % of planned work x budget)
§ Earned value= EV (remember: this is the % of actual work x budget)
§ Cost variance (CV): CV = EV-AC
§ Cost performance index (CPI): CPI = EV/AC
§ Schedule variance (SV): SV = EV-PV
§ Schedule performance index (SPI): SPI = EV/PV
§ Estimate to completion (ETC): ETC= (BAC – EV)/CPI
§ Estimate at completion (EAC): EAC= AC + ETC
Q1:
Q. A small project is planned to take 6 weeks. The budget is $16,000 with equal amounts
of work planned for each week.
At the end of week 3, 50% of work is actually completed and You have spent $12,000.
- Calculate cost variance, cost performance index,
schedule variance and schedule performance index - How much do you estimate this project would cost at
completion (assuming there are no further delays) - What do the findings mean?
- May also be asked to provide recommendations
Q2:
Q. A small project is planned to take 12 weeks. The budget is $30,000 with equal
amounts of work planned for each week.
At the end of week 4, 30% of work is actually completed and You have spent $9,000.
Q3:
Q. A small project is planned to take 8 months. The budget is $150,000 with equal
amounts of work planned for each month.
At the end of month 4, 60% of work is actually completed and You have spent $70,000.
Network diagrams
§ Create an Activity on Node network diagram
§ Include all calculations (estimated times and floats for each activity) in the network
diagram
§ Find the critical path (longest time to complete the project)
§ Find the shortest possible time for the project
Q1:
Activity Estimated duration (days) Predecessors
A 10 Start any time
B 4 Start any time
C 3 Start after B has ended
D 5 Start at least 3 days after A has started; but must end
after A has ended
E 7 Start after C and D have ended
F 9 Start after D and E have ended
The project finishes when activity F has finished
Q2:
Activity Estimated duration (days) Predecessors
A 2 Start any time
B 1 Start any time
C 6 Start after A has ended
D 4 Start after B has ended
E 9 Start after C has ended
F 1 Start after E has ended
G 2 Start after C, E and F have ended
The project finishes when activities D and G have finished
Q3:
Activity Estimated duration (weeks) Predecessors
A 4 Start any time
B 4 Start any time
C 6 Start any time
D 3 Start after A has ended
E 6 Start after B and C have ended
F 2 Start after D and E have ended
G 6 Start after F has ended
The project finishes when activity G has finished
Project compression
§ Complete the ‘all normal’ calculations
§ Compress the project to the deadline and calculate the costs
§ Provide the total cost for the project with the profit margin
§ NB templates will look similar in the exam
1
23
4
6
5
A4
B7
C1
E3F
12
D
16
G
18
H9
En
d
0
Q1
1/330
4/200
3/300
7/150
2/120
Deadline= 28 days
All normal cost estimate= $300,000
Profit margin= 20%
1
2
3
4
6
5
A 5
B3
C9
D 9
E
12
F
14
G
11
H4
End0
Q2
1/90
3/150
7/200
2/300
Deadline= 33 days
All normal cost estimate= $430,000
Profit margin=
3
0
%
1
234
6
5
G3
H7
D14
E9
A
10
B8
C6
F4
En
d
0
Q3
4/250
2/400
5/500
6/300
Deadline= 20 days
All normal cost estimate= $90,000
Profit margin=
1
5
%