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CAPITAL INVESTMENT
DECISION METHODS
•Non-discounted cash flow methods
1. Payback period
2. Accounting rate of return (ARR)
•Discounted cash flow methods
1. Internal rate of return (IRR)
2. Net present value (NPV)
3. Profitability Index (PI)
4. Discounted Payback period
Internal Rate of Return Method (IRR)
 The interest rate that results in the present values
of the cash outflows equaling the present value of
the cash inflows.
 In other words, Discount rate that makes
NPV = 0
Discounted cash flow methods
Profitability Index (PI)
Discounted cash flow methods
 This is a concept based on NPV
calculation
 If PI > 1, then investment is acceptable
 If PI < 1, then investment is unacceptable
 This is calculated to rank projects when
there is a capital limitation
Accounting Rate of Return Method
Non-discounted cash flow methods
Average profit
Average investment
Average profit = Total profit for the period
Number of years
 ARR =
•Conducted by - Industrial Services Bureau,
Kurunagala.
•Objective - improving the energy efficiency
and reducing the energy demand.
Energy audit project – Duliella Tea Factory
,Neluwa
Cash inflows and outflows
Energy audit project – Duliella Tea Factory
,Neluwa
Recommendations Y(0) Y(1) Y(2) Y(3) Y(4) Y(5) Y(6) Y(7) Y(8)
1. Introduce VSD controllers to troughs -1,200,000 313,000 313,000 313,000 313,000
2. Introduce 2 kW high efficient motors
(HEMs) for the process -2,100,000 440,000 440,000 440,000 440,000 440,000 440,000
3. Operate troughs at their maximum
carrying capacities 276,120 276,120 276,120
4. Replace the oversize motors with 5
kW high efficient motors -1,600,000 317,000 317,000 317,000 317,000 317,000 317,000
5. Introduce soft starters for the rollers
to minimize the sudden peaks during
batch operation.
-175,000 138,000 138,000 138,000
6. Introduce steam radiator system -1,000,000 318,600 318,600 318,600 318,600
7. Introduce7.5 kW high efficient (80%
or higher) motors (HEMs) for the
process -250,000 63,700 63,700 63,700 63,700 63,700
8.Introduce a multi fuel bio mass boiler
and along with a steam radiator system -6,000,000 1,500,000 1,500,000 1,500,000 1,500,000 1,500,000 1,500,000 1,500,000 1,500,000
-12,325,000 3,366,420 3,366,420 3,366,420 2,952,300 2,320,700 2,257,000 1,500,000 1,500,000
IRR - Calculation
Energy audit project – Duliella Tea Factory
,Neluwa
NPV vs. Discount rate
Discount rate NPV (LKR)
2 6802987.90
4 5467858.52
6 4275941.22
8 3207980.67
10 2247736.93
12 1381455.45
14 597439.36
16 -114297.40
18 -762312.49
IRR = 15.8%
-2,000,000.00
-1,000,000.00
0.00
1,000,000.00
2,000,000.00
3,000,000.00
4,000,000.00
5,000,000.00
6,000,000.00
7,000,000.00
8,000,000.00
0 2 4 6 8 10 12 14 16 18 20
NPV
Discount Rate
NPV vs Discount rate
(15.8, 0 )
Profitability Index (PI) Calculation
PV =
3,366,420
(1+0.0829)
+
3,366,420
(1+0.0829)2 +
3,366,420
(1+0.0829)3 +
2,952,300
(1+0.0829)4 +
2,320,720
(1+0.0829)5 +
2,257,000
(1+0.0829)6 +
1,500,000
(1+0.0829)7+
1,500,000
(1+0.0829)8
= Rs.15,387,418.69
PI =
15,387,418.69
12,325,000.00
= 1.248
 Cost of capital = 8.29%
 Average profit =
20,629,260−12,325,000
8
= Rs. 1,038,032
 ARR =
1,038,032 ×100%
12,325,000
= 8.42%
ARR Calculation
Decision making
method
Value acceptable/
unacceptable
Reasons
IRR 15.8% acceptable IRR > discount rate (8.29%)
PI 1.248 acceptable PI > 1
ARR 8.42% acceptable IRR > discount rate (8.29%)
Final Outcomes of cash flow

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Eng economics

  • 1.
  • 2. CAPITAL INVESTMENT DECISION METHODS •Non-discounted cash flow methods 1. Payback period 2. Accounting rate of return (ARR) •Discounted cash flow methods 1. Internal rate of return (IRR) 2. Net present value (NPV) 3. Profitability Index (PI) 4. Discounted Payback period
  • 3. Internal Rate of Return Method (IRR)  The interest rate that results in the present values of the cash outflows equaling the present value of the cash inflows.  In other words, Discount rate that makes NPV = 0 Discounted cash flow methods
  • 4. Profitability Index (PI) Discounted cash flow methods  This is a concept based on NPV calculation  If PI > 1, then investment is acceptable  If PI < 1, then investment is unacceptable  This is calculated to rank projects when there is a capital limitation
  • 5. Accounting Rate of Return Method Non-discounted cash flow methods Average profit Average investment Average profit = Total profit for the period Number of years  ARR =
  • 6. •Conducted by - Industrial Services Bureau, Kurunagala. •Objective - improving the energy efficiency and reducing the energy demand. Energy audit project – Duliella Tea Factory ,Neluwa
  • 7. Cash inflows and outflows Energy audit project – Duliella Tea Factory ,Neluwa Recommendations Y(0) Y(1) Y(2) Y(3) Y(4) Y(5) Y(6) Y(7) Y(8) 1. Introduce VSD controllers to troughs -1,200,000 313,000 313,000 313,000 313,000 2. Introduce 2 kW high efficient motors (HEMs) for the process -2,100,000 440,000 440,000 440,000 440,000 440,000 440,000 3. Operate troughs at their maximum carrying capacities 276,120 276,120 276,120 4. Replace the oversize motors with 5 kW high efficient motors -1,600,000 317,000 317,000 317,000 317,000 317,000 317,000 5. Introduce soft starters for the rollers to minimize the sudden peaks during batch operation. -175,000 138,000 138,000 138,000 6. Introduce steam radiator system -1,000,000 318,600 318,600 318,600 318,600 7. Introduce7.5 kW high efficient (80% or higher) motors (HEMs) for the process -250,000 63,700 63,700 63,700 63,700 63,700 8.Introduce a multi fuel bio mass boiler and along with a steam radiator system -6,000,000 1,500,000 1,500,000 1,500,000 1,500,000 1,500,000 1,500,000 1,500,000 1,500,000 -12,325,000 3,366,420 3,366,420 3,366,420 2,952,300 2,320,700 2,257,000 1,500,000 1,500,000
  • 8. IRR - Calculation Energy audit project – Duliella Tea Factory ,Neluwa NPV vs. Discount rate Discount rate NPV (LKR) 2 6802987.90 4 5467858.52 6 4275941.22 8 3207980.67 10 2247736.93 12 1381455.45 14 597439.36 16 -114297.40 18 -762312.49
  • 10. Profitability Index (PI) Calculation PV = 3,366,420 (1+0.0829) + 3,366,420 (1+0.0829)2 + 3,366,420 (1+0.0829)3 + 2,952,300 (1+0.0829)4 + 2,320,720 (1+0.0829)5 + 2,257,000 (1+0.0829)6 + 1,500,000 (1+0.0829)7+ 1,500,000 (1+0.0829)8 = Rs.15,387,418.69 PI = 15,387,418.69 12,325,000.00 = 1.248  Cost of capital = 8.29%
  • 11.  Average profit = 20,629,260−12,325,000 8 = Rs. 1,038,032  ARR = 1,038,032 ×100% 12,325,000 = 8.42% ARR Calculation
  • 12. Decision making method Value acceptable/ unacceptable Reasons IRR 15.8% acceptable IRR > discount rate (8.29%) PI 1.248 acceptable PI > 1 ARR 8.42% acceptable IRR > discount rate (8.29%) Final Outcomes of cash flow