cost benefit analysis tool

Economic Analysis <title of the investment proposal>Summary TableFriday, April 21, 2023

Appraisal period (years) 30 30 30Capital Costs $0 $2,000,000 $30,000,000Whole of Life Costs $15,000,000 $17,000,000 $45,000,000Cost-benefit analysis of monetary costs and benefits at the Public Sector Discount Rate Present Value of Benefits $5,849,716 $7,604,631 $39,841,423Present Value of Costs $5,849,716 $7,849,716 $35,479,345Benefit Cost Ratio 1.00 0.97 1.12Net Present Value $0 -$245,085 $4,362,077Multi-Criteria Analysis ranking of intangible costs and benefits (if any) Criteria 1 1.50 2.50 2.50Criteria 2 1.25 2.25Criteria 3 0.60 0.90 1.20Criteria 4 0.40 0.30 0.50Weighted Score 3.8 6.0 4.2

Option 1 <description>

Option 2 <description>

Option 3 <description>

30$55,000,000$70,000,000

$47,718,390$43,903,348

1.09$3,815,042

2.501.501.200.80

6.0

Option 4 <description>

Cost Benefit Analysis <title of the investment proposal>Option 1: <description of the option>Friday, April 21, 2023

Key Assumptions:Public Sector Discount Rate 2011 8.00%Appraisal period (years) 30 years

Summary of the Results of the Analysis:Capital Costs $0Whole of Life Costs $15,000,000Present Value of Benefits $5,849,716Present Value of Costs $5,849,716Benefit Cost Ratio 1.00Net Present Value $0

0 1 2Year 2012 2013 2014Discount factor (mid-year) 0.96225 0.89097 0.82497Discount factor (start of year) 1.00000 0.92593 0.85734

Benefit 1 <description> $100,000 $100,000 $100,000Benefit 2 <description> $100,000 $100,000 $100,000Benefit 3 <description> $100,000 $100,000 $100,000Benefit 4 <description> $100,000 $100,000 $100,000Benefit 5 <description> $100,000 $100,000 $100,000Total Benefits (mid-year) $500,000 $500,000 $500,000

Present Value of Benefits (mid-yr) $481,125 $445,486 $412,487Present Value of Benefits $5,849,716

Cost 1 <description> -$100,000 -$100,000 -$100,000Cost 2 <description> -$100,000 -$100,000 -$100,000Cost 3 <description> -$100,000 -$100,000 -$100,000Cost 4 <description> -$100,000 -$100,000 -$100,000Cost 5 <description> -$100,000 -$100,000 -$100,000Total Costs (mid-year) -$500,000 -$500,000 -$500,000

Capital Costs (at start of year) $0 $0 $0Total Costs -$500,000 -$500,000 -$500,000Total Capital Costs $0Total Whole of Life Costs -$15,000,000

Present Value of Costs (mid-year) -$481,125 -$445,486 -$412,487Present Value of Costs (start year) $0 $0 $0Present Value of Costs (by year) -$481,125 -$445,486 -$412,487Present Value of Costs -$5,849,716

Input the relevant latest published rate from http://www.treasury.govt.nz/publications/guidance/planning/costbenefitanalysis

Input the required period of the analysis, typically the term of the required services (max 50 years)

The sum of the discounted net cash-flows over the appraisal period. Equal to Present Value of Benefits less Present Value of Costs

The sum of the discounted benefits over the appraisal period

Net Cash Flows $0 $0 $0Net Present Value (by year) $0 $0 $0Cumulative NPV $0 $0 $0

Chart data only:Year 0 1 2Present Value of Benefits ($million) $ 0.481 $ 0.445 $ 0.412 Present Value of Costs ($million) -$ 0.481 -$ 0.445 -$ 0.412 Cumulative Net Present Value ($million) $ - $ - $ -

3 4 5 6 7 82015 2016 2017 2018 2019 2020

0.76387 0.70728 0.65489 0.60638 0.56146 0.519870.79383 0.73503 0.68058 0.63017 0.58349 0.54027

$100,000 $100,000 $100,000 $100,000 $100,000 $100,000$100,000 $100,000 $100,000 $100,000 $100,000 $100,000$100,000 $100,000 $100,000 $100,000 $100,000 $100,000$100,000 $100,000 $100,000 $100,000 $100,000 $100,000$100,000 $100,000 $100,000 $100,000 $100,000 $100,000$500,000 $500,000 $500,000 $500,000 $500,000 $500,000

$381,933 $353,641 $327,446 $303,191 $280,732 $259,937

-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$500,000 -$500,000 -$500,000 -$500,000 -$500,000 -$500,000

$0 $0 $0 $0 $0 $0-$500,000 -$500,000 -$500,000 -$500,000 -$500,000 -$500,000

-$381,933 -$353,641 -$327,446 -$303,191 -$280,732 -$259,937$0 $0 $0 $0 $0 $0

-$381,933 -$353,641 -$327,446 -$303,191 -$280,732 -$259,937

Input the relevant latest published rate from http://www.treasury.govt.nz/publications/guidance/planning/costbenefitanalysis

Input the required period of the analysis, typically the term of the required services (max 50 years)

The sum of the discounted net cash-flows over the appraisal period. Equal to Present Value of Benefits less Present Value of Costs

The sum of the discounted benefits over the appraisal period

$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0

3 4 5 6 7 8 $ 0.382 $ 0.354 $ 0.327 $ 0.303 $ 0.281 $ 0.260 -$ 0.382 -$ 0.354 -$ 0.327 -$ 0.303 -$ 0.281 -$ 0.260 $ - $ - $ - $ - $ - $ -

9 10 11 12 13 142021 2022 2023 2024 2025 2026

0.48136 0.44571 0.41269 0.38212 0.35382 0.327610.50025 0.46319 0.42888 0.39711 0.36770 0.34046

$100,000 $100,000 $100,000 $100,000 $100,000 $100,000$100,000 $100,000 $100,000 $100,000 $100,000 $100,000$100,000 $100,000 $100,000 $100,000 $100,000 $100,000$100,000 $100,000 $100,000 $100,000 $100,000 $100,000$100,000 $100,000 $100,000 $100,000 $100,000 $100,000$500,000 $500,000 $500,000 $500,000 $500,000 $500,000

$240,682 $222,854 $206,346 $191,061 $176,909 $163,804

-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$500,000 -$500,000 -$500,000 -$500,000 -$500,000 -$500,000

$0 $0 $0 $0 $0 $0-$500,000 -$500,000 -$500,000 -$500,000 -$500,000 -$500,000

-$240,682 -$222,854 -$206,346 -$191,061 -$176,909 -$163,804$0 $0 $0 $0 $0 $0

-$240,682 -$222,854 -$206,346 -$191,061 -$176,909 -$163,804

$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0

9 10 11 12 13 14 $ 0.241 $ 0.223 $ 0.206 $ 0.191 $ 0.177 $ 0.164 -$ 0.241 -$ 0.223 -$ 0.206 -$ 0.191 -$ 0.177 -$ 0.164 $ - $ - $ - $ - $ - $ -

15 16 17 18 19 202027 2028 2029 2030 2031 2032

0.30334 0.28087 0.26007 0.24080 0.22297 0.206450.31524 0.29189 0.27027 0.25025 0.23171 0.21455

$100,000 $100,000 $100,000 $100,000 $100,000 $100,000$100,000 $100,000 $100,000 $100,000 $100,000 $100,000$100,000 $100,000 $100,000 $100,000 $100,000 $100,000$100,000 $100,000 $100,000 $100,000 $100,000 $100,000$100,000 $100,000 $100,000 $100,000 $100,000 $100,000$500,000 $500,000 $500,000 $500,000 $500,000 $500,000

$151,671 $140,436 $130,033 $120,401 $111,483 $103,225

-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$500,000 -$500,000 -$500,000 -$500,000 -$500,000 -$500,000

$0 $0 $0 $0 $0 $0-$500,000 -$500,000 -$500,000 -$500,000 -$500,000 -$500,000

-$151,671 -$140,436 -$130,033 -$120,401 -$111,483 -$103,225$0 $0 $0 $0 $0 $0

-$151,671 -$140,436 -$130,033 -$120,401 -$111,483 -$103,225

$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0

15 16 17 18 19 20 $ 0.152 $ 0.140 $ 0.130 $ 0.120 $ 0.111 $ 0.103 -$ 0.152 -$ 0.140 -$ 0.130 -$ 0.120 -$ 0.111 -$ 0.103 $ - $ - $ - $ - $ - $ -

21 22 23 24 25 262033 2034 2035 2036 2037 2038

0.19116 0.17700 0.16389 0.15175 0.14051 0.130100.19866 0.18394 0.17032 0.15770 0.14602 0.13520

$100,000 $100,000 $100,000 $100,000 $100,000 $100,000$100,000 $100,000 $100,000 $100,000 $100,000 $100,000$100,000 $100,000 $100,000 $100,000 $100,000 $100,000$100,000 $100,000 $100,000 $100,000 $100,000 $100,000$100,000 $100,000 $100,000 $100,000 $100,000 $100,000$500,000 $500,000 $500,000 $500,000 $500,000 $500,000

$95,578 $88,498 $81,943 $75,873 $70,253 $65,049

-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$500,000 -$500,000 -$500,000 -$500,000 -$500,000 -$500,000

$0 $0 $0 $0 $0 $0-$500,000 -$500,000 -$500,000 -$500,000 -$500,000 -$500,000

-$95,578 -$88,498 -$81,943 -$75,873 -$70,253 -$65,049$0 $0 $0 $0 $0 $0

-$95,578 -$88,498 -$81,943 -$75,873 -$70,253 -$65,049

$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0

21 22 23 24 25 26 $ 0.096 $ 0.088 $ 0.082 $ 0.076 $ 0.070 $ 0.065 -$ 0.096 -$ 0.088 -$ 0.082 -$ 0.076 -$ 0.070 -$ 0.065 $ - $ - $ - $ - $ - $ -

27 28 29 1000 1000 10002039 2040 2041 2042 2043 2044

0.12046 0.11154 0.10328 0.00000 0.00000 0.000000.12519 0.11591 0.10733 0.00000 0.00000 0.00000

$100,000 $100,000 $100,000 $0 $0 $0$100,000 $100,000 $100,000 $0 $0 $0$100,000 $100,000 $100,000 $0 $0 $0$100,000 $100,000 $100,000 $0 $0 $0$100,000 $100,000 $100,000 $0 $0 $0$500,000 $500,000 $500,000 $0 $0 $0

$60,231 $55,769 $51,638 $0 $0 $0

-$100,000 -$100,000 -$100,000 $0 $0 $0-$100,000 -$100,000 -$100,000 $0 $0 $0-$100,000 -$100,000 -$100,000 $0 $0 $0-$100,000 -$100,000 -$100,000 $0 $0 $0-$100,000 -$100,000 -$100,000 $0 $0 $0-$500,000 -$500,000 -$500,000 $0 $0 $0

$0 $0 $0 $0 $0 $0-$500,000 -$500,000 -$500,000 $0 $0 $0

-$60,231 -$55,769 -$51,638 $0 $0 $0$0 $0 $0 $0 $0 $0

-$60,231 -$55,769 -$51,638 $0 $0 $0

$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0

27 28 29 1000 1000 1000 $ 0.060 $ 0.056 $ 0.052 $ - $ - $ - -$ 0.060 -$ 0.056 -$ 0.052 $ - $ - $ - $ - $ - $ - $ - $ - $ -

1000 1000 1000 1000 1000 10002045 2046 2047 2048 2049 2050

0.00000 0.00000 0.00000 0.00000 0.00000 0.000000.00000 0.00000 0.00000 0.00000 0.00000 0.00000

$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0

$0 $0 $0 $0 $0 $0

$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0

$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0

$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0

$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0

1000 1000 1000 1000 1000 1000 $ - $ - $ - $ - $ - $ - $ - $ - $ - $ - $ - $ - $ - $ - $ - $ - $ - $ -

1000 1000 1000 1000 1000 10002051 2052 2053 2054 2055 2056

0.00000 0.00000 0.00000 0.00000 0.00000 0.000000.00000 0.00000 0.00000 0.00000 0.00000 0.00000

$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0

$0 $0 $0 $0 $0 $0

$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0

$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0

$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0

$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0

1000 1000 1000 1000 1000 1000 $ - $ - $ - $ - $ - $ - $ - $ - $ - $ - $ - $ - $ - $ - $ - $ - $ - $ -

1000 1000 1000 1000 10002057 2058 2059 2060 2061

0.00000 0.00000 0.00000 0.00000 0.000000.00000 0.00000 0.00000 0.00000 0.00000

$0 $0 $0 $0 $0$0 $0 $0 $0 $0$0 $0 $0 $0 $0$0 $0 $0 $0 $0$0 $0 $0 $0 $0$0 $0 $0 $0 $0

$0 $0 $0 $0 $0

$0 $0 $0 $0 $0$0 $0 $0 $0 $0$0 $0 $0 $0 $0$0 $0 $0 $0 $0$0 $0 $0 $0 $0$0 $0 $0 $0 $0

$0 $0 $0 $0 $0$0 $0 $0 $0 $0

$0 $0 $0 $0 $0$0 $0 $0 $0 $0$0 $0 $0 $0 $0

$0 $0 $0 $0 $0$0 $0 $0 $0 $0$0 $0 $0 $0 $0

1000 1000 1000 1000 1000 $ - $ - $ - $ - $ - $ - $ - $ - $ - $ - $ - $ - $ - $ - $ -

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50-$1

$0

$1Cost Benefit Analysis: Option 1

Present Value of Benefits ($million) Present Value of Costs ($million)

Cumulative Net Present Value ($million)

Year

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Cost Benefit Analysis <title of the investment proposal>Option 2: <description of the option>Friday, April 21, 2023

Key Assumptions:Public Sector Discount Rate 2011 8.00%Appraisal period (years) 30 years

Summary of the Results of the Analysis:Capital Costs $2,000,000Whole of Life Costs $17,000,000Present Value of Benefits $7,604,631Present Value of Costs $7,849,716Benefit Cost Ratio 0.97Net Present Value -$245,085

0 1 2Year 2012 2013 2014Discount factor (mid-year) 0.96225 0.89097 0.82497Discount factor (start of year) 1.00000 0.92593 0.85734

Benefit 1 <description> $250,000 $250,000 $250,000Benefit 2 <description> $100,000 $100,000 $100,000Benefit 3 <description> $100,000 $100,000 $100,000Benefit 4 <description> $100,000 $100,000 $100,000Benefit 5 <description> $100,000 $100,000 $100,000Total Benefits (mid-year) $650,000 $650,000 $650,000

Present Value of Benefits (mid-yr) $625,463 $579,132 $536,234Present Value of Benefits $7,604,631

Cost 1 <description> -$100,000 -$100,000 -$100,000Cost 2 <description> -$100,000 -$100,000 -$100,000Cost 3 <description> -$100,000 -$100,000 -$100,000Cost 4 <description> -$100,000 -$100,000 -$100,000Cost 5 <description> -$100,000 -$100,000 -$100,000Total Costs (mid-year) -$500,000 -$500,000 -$500,000

Capital Costs (at start of year) -$2,000,000 $0 $0Total Costs -$2,500,000 -$500,000 -$500,000Total Capital Costs -$2,000,000Total Whole of Life Costs -$17,000,000

Present Value of Costs (mid-year) -$481,125 -$445,486 -$412,487Present Value of Costs (start year) -$2,000,000 $0 $0Present Value of Costs (by year) -$2,481,125 -$445,486 -$412,487Present Value of Costs -$7,849,716

Input the relevant latest published rate from http://www.treasury.govt.nz/publications/guidance/planning/costbenefitanalysis

Input the required period of the analysis, typically the term of the required services (max 50 years)

The sum of the discounted benefits over the appraisal period

The sum of the discounted net cash-flows over the appraisal period. Equal to Present Value of Benefits less Present Value of Costs

Net Cash Flows -$1,850,000 $150,000 $150,000Net Present Value (by year) -$1,855,662 $133,646 $123,746Cumulative NPV -$1,855,662 -$1,722,017 -$1,598,270

Chart data only:Year 0 1 2Present Value of Benefits ($million) $ 0.625 $ 0.579 $ 0.536 Present Value of Costs ($million) -$ 2.481 -$ 0.445 -$ 0.412 Cumulative Net Present Value ($million) -$ 1.856 -$ 1.722 -$ 1.598

3 4 5 6 7 82015 2016 2017 2018 2019 2020

0.76387 0.70728 0.65489 0.60638 0.56146 0.519870.79383 0.73503 0.68058 0.63017 0.58349 0.54027

$250,000 $250,000 $250,000 $250,000 $250,000 $250,000$100,000 $100,000 $100,000 $100,000 $100,000 $100,000$100,000 $100,000 $100,000 $100,000 $100,000 $100,000$100,000 $100,000 $100,000 $100,000 $100,000 $100,000$100,000 $100,000 $100,000 $100,000 $100,000 $100,000$650,000 $650,000 $650,000 $650,000 $650,000 $650,000

$496,513 $459,734 $425,679 $394,148 $364,952 $337,918

-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$500,000 -$500,000 -$500,000 -$500,000 -$500,000 -$500,000

$0 $0 $0 $0 $0 $0-$500,000 -$500,000 -$500,000 -$500,000 -$500,000 -$500,000

-$381,933 -$353,641 -$327,446 -$303,191 -$280,732 -$259,937$0 $0 $0 $0 $0 $0

-$381,933 -$353,641 -$327,446 -$303,191 -$280,732 -$259,937

Input the relevant latest published rate from http://www.treasury.govt.nz/publications/guidance/planning/costbenefitanalysis

Input the required period of the analysis, typically the term of the required services (max 50 years)

The sum of the discounted benefits over the appraisal period

The sum of the discounted net cash-flows over the appraisal period. Equal to Present Value of Benefits less Present Value of Costs

$150,000 $150,000 $150,000 $150,000 $150,000 $150,000$114,580 $106,092 $98,234 $90,957 $84,220 $77,981

-$1,483,691 -$1,377,598 -$1,279,364 -$1,188,407 -$1,104,188 -$1,026,207

3 4 5 6 7 8 $ 0.497 $ 0.460 $ 0.426 $ 0.394 $ 0.365 $ 0.338 -$ 0.382 -$ 0.354 -$ 0.327 -$ 0.303 -$ 0.281 -$ 0.260 -$ 1.484 -$ 1.378 -$ 1.279 -$ 1.188 -$ 1.104 -$ 1.026

9 10 11 12 13 142021 2022 2023 2024 2025 2026

0.48136 0.44571 0.41269 0.38212 0.35382 0.327610.50025 0.46319 0.42888 0.39711 0.36770 0.34046

$250,000 $250,000 $250,000 $250,000 $250,000 $250,000$100,000 $100,000 $100,000 $100,000 $100,000 $100,000$100,000 $100,000 $100,000 $100,000 $100,000 $100,000$100,000 $100,000 $100,000 $100,000 $100,000 $100,000$100,000 $100,000 $100,000 $100,000 $100,000 $100,000$650,000 $650,000 $650,000 $650,000 $650,000 $650,000

$312,887 $289,710 $268,250 $248,380 $229,981 $212,946

-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$500,000 -$500,000 -$500,000 -$500,000 -$500,000 -$500,000

$0 $0 $0 $0 $0 $0-$500,000 -$500,000 -$500,000 -$500,000 -$500,000 -$500,000

-$240,682 -$222,854 -$206,346 -$191,061 -$176,909 -$163,804$0 $0 $0 $0 $0 $0

-$240,682 -$222,854 -$206,346 -$191,061 -$176,909 -$163,804

$150,000 $150,000 $150,000 $150,000 $150,000 $150,000$72,205 $66,856 $61,904 $57,318 $53,073 $49,141

-$954,002 -$887,146 -$825,242 -$767,923 -$714,851 -$665,709

9 10 11 12 13 14 $ 0.313 $ 0.290 $ 0.268 $ 0.248 $ 0.230 $ 0.213 -$ 0.241 -$ 0.223 -$ 0.206 -$ 0.191 -$ 0.177 -$ 0.164 -$ 0.954 -$ 0.887 -$ 0.825 -$ 0.768 -$ 0.715 -$ 0.666

15 16 17 18 19 202027 2028 2029 2030 2031 2032

0.30334 0.28087 0.26007 0.24080 0.22297 0.206450.31524 0.29189 0.27027 0.25025 0.23171 0.21455

$250,000 $250,000 $250,000 $250,000 $250,000 $250,000$100,000 $100,000 $100,000 $100,000 $100,000 $100,000$100,000 $100,000 $100,000 $100,000 $100,000 $100,000$100,000 $100,000 $100,000 $100,000 $100,000 $100,000$100,000 $100,000 $100,000 $100,000 $100,000 $100,000$650,000 $650,000 $650,000 $650,000 $650,000 $650,000

$197,172 $182,567 $169,043 $156,521 $144,927 $134,192

-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$500,000 -$500,000 -$500,000 -$500,000 -$500,000 -$500,000

$0 $0 $0 $0 $0 $0-$500,000 -$500,000 -$500,000 -$500,000 -$500,000 -$500,000

-$151,671 -$140,436 -$130,033 -$120,401 -$111,483 -$103,225$0 $0 $0 $0 $0 $0

-$151,671 -$140,436 -$130,033 -$120,401 -$111,483 -$103,225

$150,000 $150,000 $150,000 $150,000 $150,000 $150,000$45,501 $42,131 $39,010 $36,120 $33,445 $30,967

-$620,208 -$578,077 -$539,067 -$502,947 -$469,502 -$438,535

15 16 17 18 19 20 $ 0.197 $ 0.183 $ 0.169 $ 0.157 $ 0.145 $ 0.134 -$ 0.152 -$ 0.140 -$ 0.130 -$ 0.120 -$ 0.111 -$ 0.103 -$ 0.620 -$ 0.578 -$ 0.539 -$ 0.503 -$ 0.470 -$ 0.439

21 22 23 24 25 262033 2034 2035 2036 2037 2038

0.19116 0.17700 0.16389 0.15175 0.14051 0.130100.19866 0.18394 0.17032 0.15770 0.14602 0.13520

$250,000 $250,000 $250,000 $250,000 $250,000 $250,000$100,000 $100,000 $100,000 $100,000 $100,000 $100,000$100,000 $100,000 $100,000 $100,000 $100,000 $100,000$100,000 $100,000 $100,000 $100,000 $100,000 $100,000$100,000 $100,000 $100,000 $100,000 $100,000 $100,000$650,000 $650,000 $650,000 $650,000 $650,000 $650,000

$124,252 $115,048 $106,526 $98,635 $91,329 $84,564

-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$500,000 -$500,000 -$500,000 -$500,000 -$500,000 -$500,000

$0 $0 $0 $0 $0 $0-$500,000 -$500,000 -$500,000 -$500,000 -$500,000 -$500,000

-$95,578 -$88,498 -$81,943 -$75,873 -$70,253 -$65,049$0 $0 $0 $0 $0 $0

-$95,578 -$88,498 -$81,943 -$75,873 -$70,253 -$65,049

$150,000 $150,000 $150,000 $150,000 $150,000 $150,000$28,673 $26,550 $24,583 $22,762 $21,076 $19,515

-$409,861 -$383,312 -$358,729 -$335,967 -$314,891 -$295,377

21 22 23 24 25 26 $ 0.124 $ 0.115 $ 0.107 $ 0.099 $ 0.091 $ 0.085 -$ 0.096 -$ 0.088 -$ 0.082 -$ 0.076 -$ 0.070 -$ 0.065 -$ 0.410 -$ 0.383 -$ 0.359 -$ 0.336 -$ 0.315 -$ 0.295

27 28 29 1000 1000 10002039 2040 2041 2042 2043 2044

0.12046 0.11154 0.10328 0.00000 0.00000 0.000000.12519 0.11591 0.10733 0.00000 0.00000 0.00000

$250,000 $250,000 $250,000 $0 $0 $0$100,000 $100,000 $100,000 $0 $0 $0$100,000 $100,000 $100,000 $0 $0 $0$100,000 $100,000 $100,000 $0 $0 $0$100,000 $100,000 $100,000 $0 $0 $0$650,000 $650,000 $650,000 $0 $0 $0

$78,300 $72,500 $67,129 $0 $0 $0

-$100,000 -$100,000 -$100,000 $0 $0 $0-$100,000 -$100,000 -$100,000 $0 $0 $0-$100,000 -$100,000 -$100,000 $0 $0 $0-$100,000 -$100,000 -$100,000 $0 $0 $0-$100,000 -$100,000 -$100,000 $0 $0 $0-$500,000 -$500,000 -$500,000 $0 $0 $0

$0 $0 $0 $0 $0 $0-$500,000 -$500,000 -$500,000 $0 $0 $0

-$60,231 -$55,769 -$51,638 $0 $0 $0$0 $0 $0 $0 $0 $0

-$60,231 -$55,769 -$51,638 $0 $0 $0

$150,000 $150,000 $150,000 $0 $0 $0$18,069 $16,731 $15,491 $0 $0 $0

-$277,307 -$260,577 -$245,085 -$245,085 -$245,085 -$245,085

27 28 29 1000 1000 1000 $ 0.078 $ 0.072 $ 0.067 $ - $ - $ - -$ 0.060 -$ 0.056 -$ 0.052 $ - $ - $ - -$ 0.277 -$ 0.261 -$ 0.245 -$ 0.245 -$ 0.245 -$ 0.245

1000 1000 1000 1000 1000 10002045 2046 2047 2048 2049 2050

0.00000 0.00000 0.00000 0.00000 0.00000 0.000000.00000 0.00000 0.00000 0.00000 0.00000 0.00000

$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0

$0 $0 $0 $0 $0 $0

$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0

$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0

$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0

$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0

-$245,085 -$245,085 -$245,085 -$245,085 -$245,085 -$245,085

1000 1000 1000 1000 1000 1000 $ - $ - $ - $ - $ - $ - $ - $ - $ - $ - $ - $ - -$ 0.245 -$ 0.245 -$ 0.245 -$ 0.245 -$ 0.245 -$ 0.245

1000 1000 1000 1000 1000 10002051 2052 2053 2054 2055 2056

0.00000 0.00000 0.00000 0.00000 0.00000 0.000000.00000 0.00000 0.00000 0.00000 0.00000 0.00000

$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0

$0 $0 $0 $0 $0 $0

$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0

$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0

$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0

$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0

-$245,085 -$245,085 -$245,085 -$245,085 -$245,085 -$245,085

1000 1000 1000 1000 1000 1000 $ - $ - $ - $ - $ - $ - $ - $ - $ - $ - $ - $ - -$ 0.245 -$ 0.245 -$ 0.245 -$ 0.245 -$ 0.245 -$ 0.245

1000 1000 1000 1000 10002057 2058 2059 2060 2061

0.00000 0.00000 0.00000 0.00000 0.000000.00000 0.00000 0.00000 0.00000 0.00000

$0 $0 $0 $0 $0$0 $0 $0 $0 $0$0 $0 $0 $0 $0$0 $0 $0 $0 $0$0 $0 $0 $0 $0$0 $0 $0 $0 $0

$0 $0 $0 $0 $0

$0 $0 $0 $0 $0$0 $0 $0 $0 $0$0 $0 $0 $0 $0$0 $0 $0 $0 $0$0 $0 $0 $0 $0$0 $0 $0 $0 $0

$0 $0 $0 $0 $0$0 $0 $0 $0 $0

$0 $0 $0 $0 $0$0 $0 $0 $0 $0$0 $0 $0 $0 $0

$0 $0 $0 $0 $0$0 $0 $0 $0 $0

-$245,085 -$245,085 -$245,085 -$245,085 -$245,085

1000 1000 1000 1000 1000 $ - $ - $ - $ - $ - $ - $ - $ - $ - $ - -$ 0.245 -$ 0.245 -$ 0.245 -$ 0.245 -$ 0.245

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50-$3

-$2

-$1

$0

$1Cost Benefit Analysis: Option 2

Present Value of Benefits ($million) Present Value of Costs ($million)

Cumulative Net Present Value ($million)

Year

Toda

ys D

olla

rs (

$ m

illio

ns)

Cost Benefit Analysis <title of the investment proposal>Option 3: <description of the option>Friday, April 21, 2023

Key Assumptions:Public Sector Discount Rate 2011 8.00%Appraisal period (years) 30 years

Summary of the Results of the Analysis:Capital Costs $30,000,000Whole of Life Costs $45,000,000Present Value of Benefits $39,841,423Present Value of Costs $35,479,345Benefit Cost Ratio 1.12Net Present Value $4,362,077

0 1 2Year 2012 2013 2014Discount factor (mid-year) 0.96225 0.89097 0.82497Discount factor (start of year) 1.00000 0.92593 0.85734

Benefit 1 <description> $400,000 $800,000 $800,000Benefit 2 <description> $1,000,000 $1,000,000 $1,000,000Benefit 3 <description> $100,000 $100,000 $100,000Benefit 4 <description> $100,000 $100,000 $100,000Benefit 5 <description> $750,000 $1,500,000 $1,500,000Total Benefits (mid-year) $2,350,000 $3,500,000 $3,500,000

Present Value of Benefits (mid-yr) $2,261,289 $3,118,404 $2,887,411Present Value of Benefits $39,841,423

Cost 1 <description> -$100,000 -$100,000 -$100,000Cost 2 <description> -$100,000 -$100,000 -$100,000Cost 3 <description> -$100,000 -$100,000 -$100,000Cost 4 <description> -$100,000 -$100,000 -$100,000Cost 5 <description> -$100,000 -$100,000 -$100,000Total Costs (mid-year) -$500,000 -$500,000 -$500,000

Capital Costs (at start of year) -$25,000,000 -$5,000,000 $0Total Costs -$25,500,000 -$5,500,000 -$500,000Total Capital Costs -$30,000,000Total Whole of Life Costs -$45,000,000

Present Value of Costs (mid-year) -$481,125 -$445,486 -$412,487Present Value of Costs (start year) -$25,000,000 -$4,629,630 $0Present Value of Costs (by year) -$25,481,125 -$5,075,116 -$412,487Present Value of Costs -$35,479,345

Input the relevant latest published rate from http://www.treasury.govt.nz/publications/guidance/planning/costbenefitanalysis

Input the required period of the analysis, typically the term of the required services (max 50 years)

The sum of the discounted benefits over the appraisal period

The sum of the discounted net cash-flows over the appraisal period. Equal to Present Value of Benefits less Present Value of Costs

Net Cash Flows -$23,150,000 -$2,000,000 $3,000,000Net Present Value (by year) -$23,219,837 -$1,956,712 $2,474,924Cumulative NPV -$23,219,837 -$25,176,548 -$22,701,624

Chart data only:Year 0 1 2Present Value of Benefits ($million) $ 2.261 $ 3.118 $ 2.887 Present Value of Costs ($million) -$ 25.481 -$ 5.075 -$ 0.412 Cumulative Net Present Value ($million) -$ 23.220 -$ 25.177 -$ 22.702

3 4 5 6 7 82015 2016 2017 2018 2019 2020

0.76387 0.70728 0.65489 0.60638 0.56146 0.519870.79383 0.73503 0.68058 0.63017 0.58349 0.54027

$800,000 $800,000 $800,000 $800,000 $800,000 $800,000$1,000,000 $1,000,000 $1,000,000 $1,000,000 $1,000,000 $1,000,000

$100,000 $100,000 $100,000 $100,000 $100,000 $100,000$100,000 $100,000 $100,000 $100,000 $100,000 $100,000

$1,500,000 $1,500,000 $1,500,000 $1,500,000 $1,500,000 $1,500,000$3,500,000 $3,500,000 $3,500,000 $3,500,000 $3,500,000 $3,500,000

$2,673,529 $2,475,490 $2,292,120 $2,122,334 $1,965,124 $1,819,559

-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$500,000 -$500,000 -$500,000 -$500,000 -$500,000 -$500,000

$0 $0 $0 $0 $0 $0-$500,000 -$500,000 -$500,000 -$500,000 -$500,000 -$500,000

-$381,933 -$353,641 -$327,446 -$303,191 -$280,732 -$259,937$0 $0 $0 $0 $0 $0

-$381,933 -$353,641 -$327,446 -$303,191 -$280,732 -$259,937

Input the relevant latest published rate from http://www.treasury.govt.nz/publications/guidance/planning/costbenefitanalysis

Input the required period of the analysis, typically the term of the required services (max 50 years)

The sum of the discounted benefits over the appraisal period

The sum of the discounted net cash-flows over the appraisal period. Equal to Present Value of Benefits less Present Value of Costs

$3,000,000 $3,000,000 $3,000,000 $3,000,000 $3,000,000 $3,000,000$2,291,596 $2,121,848 $1,964,674 $1,819,143 $1,684,392 $1,559,622

-$20,410,028 -$18,288,180 -$16,323,505 -$14,504,362 -$12,819,971 -$11,260,349

3 4 5 6 7 8 $ 2.674 $ 2.475 $ 2.292 $ 2.122 $ 1.965 $ 1.820 -$ 0.382 -$ 0.354 -$ 0.327 -$ 0.303 -$ 0.281 -$ 0.260 -$ 20.410 -$ 18.288 -$ 16.324 -$ 14.504 -$ 12.820 -$ 11.260

9 10 11 12 13 142021 2022 2023 2024 2025 2026

0.48136 0.44571 0.41269 0.38212 0.35382 0.327610.50025 0.46319 0.42888 0.39711 0.36770 0.34046

$800,000 $800,000 $800,000 $800,000 $800,000 $800,000$1,000,000 $1,000,000 $1,000,000 $1,000,000 $1,000,000 $1,000,000

$100,000 $100,000 $100,000 $100,000 $100,000 $100,000$100,000 $100,000 $100,000 $100,000 $100,000 $100,000

$1,500,000 $1,500,000 $1,500,000 $1,500,000 $1,500,000 $1,500,000$3,500,000 $3,500,000 $3,500,000 $3,500,000 $3,500,000 $3,500,000

$1,684,777 $1,559,978 $1,444,425 $1,337,430 $1,238,361 $1,146,631

-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$500,000 -$500,000 -$500,000 -$500,000 -$500,000 -$500,000

$0 $0 $0 $0 $0 $0-$500,000 -$500,000 -$500,000 -$500,000 -$500,000 -$500,000

-$240,682 -$222,854 -$206,346 -$191,061 -$176,909 -$163,804$0 $0 $0 $0 $0 $0

-$240,682 -$222,854 -$206,346 -$191,061 -$176,909 -$163,804

$3,000,000 $3,000,000 $3,000,000 $3,000,000 $3,000,000 $3,000,000$1,444,094 $1,337,124 $1,238,078 $1,146,369 $1,061,452 $982,826

-$9,816,254 -$8,479,130 -$7,241,052 -$6,094,683 -$5,033,230 -$4,050,404

9 10 11 12 13 14 $ 1.685 $ 1.560 $ 1.444 $ 1.337 $ 1.238 $ 1.147 -$ 0.241 -$ 0.223 -$ 0.206 -$ 0.191 -$ 0.177 -$ 0.164 -$ 9.816 -$ 8.479 -$ 7.241 -$ 6.095 -$ 5.033 -$ 4.050

15 16 17 18 19 202027 2028 2029 2030 2031 2032

0.30334 0.28087 0.26007 0.24080 0.22297 0.206450.31524 0.29189 0.27027 0.25025 0.23171 0.21455

$800,000 $800,000 $800,000 $800,000 $800,000 $800,000$1,000,000 $1,000,000 $1,000,000 $1,000,000 $1,000,000 $1,000,000

$100,000 $100,000 $100,000 $100,000 $100,000 $100,000$100,000 $100,000 $100,000 $100,000 $100,000 $100,000

$1,500,000 $1,500,000 $1,500,000 $1,500,000 $1,500,000 $1,500,000$3,500,000 $3,500,000 $3,500,000 $3,500,000 $3,500,000 $3,500,000

$1,061,695 $983,051 $910,232 $842,808 $780,378 $722,572

-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$500,000 -$500,000 -$500,000 -$500,000 -$500,000 -$500,000

$0 $0 $0 $0 $0 $0-$500,000 -$500,000 -$500,000 -$500,000 -$500,000 -$500,000

-$151,671 -$140,436 -$130,033 -$120,401 -$111,483 -$103,225$0 $0 $0 $0 $0 $0

-$151,671 -$140,436 -$130,033 -$120,401 -$111,483 -$103,225

$3,000,000 $3,000,000 $3,000,000 $3,000,000 $3,000,000 $3,000,000$910,024 $842,615 $780,199 $722,407 $668,895 $619,347

-$3,140,380 -$2,297,764 -$1,517,565 -$795,158 -$126,263 $493,084

15 16 17 18 19 20 $ 1.062 $ 0.983 $ 0.910 $ 0.843 $ 0.780 $ 0.723 -$ 0.152 -$ 0.140 -$ 0.130 -$ 0.120 -$ 0.111 -$ 0.103 -$ 3.140 -$ 2.298 -$ 1.518 -$ 0.795 -$ 0.126 $ 0.493

21 22 23 24 25 262033 2034 2035 2036 2037 2038

0.19116 0.17700 0.16389 0.15175 0.14051 0.130100.19866 0.18394 0.17032 0.15770 0.14602 0.13520

$800,000 $800,000 $800,000 $800,000 $800,000 $800,000$1,000,000 $1,000,000 $1,000,000 $1,000,000 $1,000,000 $1,000,000

$100,000 $100,000 $100,000 $100,000 $100,000 $100,000$100,000 $100,000 $100,000 $100,000 $100,000 $100,000

$1,500,000 $1,500,000 $1,500,000 $1,500,000 $1,500,000 $1,500,000$3,500,000 $3,500,000 $3,500,000 $3,500,000 $3,500,000 $3,500,000

$669,048 $619,489 $573,601 $531,112 $491,770 $455,343

-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$500,000 -$500,000 -$500,000 -$500,000 -$500,000 -$500,000

$0 $0 $0 $0 $0 $0-$500,000 -$500,000 -$500,000 -$500,000 -$500,000 -$500,000

-$95,578 -$88,498 -$81,943 -$75,873 -$70,253 -$65,049$0 $0 $0 $0 $0 $0

-$95,578 -$88,498 -$81,943 -$75,873 -$70,253 -$65,049

$3,000,000 $3,000,000 $3,000,000 $3,000,000 $3,000,000 $3,000,000$573,470 $530,991 $491,658 $455,239 $421,517 $390,294

$1,066,554 $1,597,544 $2,089,202 $2,544,441 $2,965,958 $3,356,252

21 22 23 24 25 26 $ 0.669 $ 0.619 $ 0.574 $ 0.531 $ 0.492 $ 0.455 -$ 0.096 -$ 0.088 -$ 0.082 -$ 0.076 -$ 0.070 -$ 0.065 $ 1.067 $ 1.598 $ 2.089 $ 2.544 $ 2.966 $ 3.356

27 28 29 1000 1000 10002039 2040 2041 2042 2043 2044

0.12046 0.11154 0.10328 0.00000 0.00000 0.000000.12519 0.11591 0.10733 0.00000 0.00000 0.00000

$800,000 $800,000 $800,000 $0 $0 $0$1,000,000 $1,000,000 $1,000,000 $0 $0 $0

$100,000 $100,000 $100,000 $0 $0 $0$100,000 $100,000 $100,000 $0 $0 $0

$1,500,000 $1,500,000 $1,500,000 $0 $0 $0$3,500,000 $3,500,000 $3,500,000 $0 $0 $0

$421,614 $390,383 $361,466 $0 $0 $0

-$100,000 -$100,000 -$100,000 $0 $0 $0-$100,000 -$100,000 -$100,000 $0 $0 $0-$100,000 -$100,000 -$100,000 $0 $0 $0-$100,000 -$100,000 -$100,000 $0 $0 $0-$100,000 -$100,000 -$100,000 $0 $0 $0-$500,000 -$500,000 -$500,000 $0 $0 $0

$0 $0 $0 $0 $0 $0-$500,000 -$500,000 -$500,000 $0 $0 $0

-$60,231 -$55,769 -$51,638 $0 $0 $0$0 $0 $0 $0 $0 $0

-$60,231 -$55,769 -$51,638 $0 $0 $0

$3,000,000 $3,000,000 $3,000,000 $0 $0 $0$361,383 $334,614 $309,828 $0 $0 $0

$3,717,635 $4,052,249 $4,362,077 $4,362,077 $4,362,077 $4,362,077

27 28 29 1000 1000 1000 $ 0.422 $ 0.390 $ 0.361 $ - $ - $ - -$ 0.060 -$ 0.056 -$ 0.052 $ - $ - $ - $ 3.718 $ 4.052 $ 4.362 $ 4.362 $ 4.362 $ 4.362

1000 1000 1000 1000 1000 10002045 2046 2047 2048 2049 2050

0.00000 0.00000 0.00000 0.00000 0.00000 0.000000.00000 0.00000 0.00000 0.00000 0.00000 0.00000

$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0

$0 $0 $0 $0 $0 $0

$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0

$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0

$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0

$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0

$4,362,077 $4,362,077 $4,362,077 $4,362,077 $4,362,077 $4,362,077

1000 1000 1000 1000 1000 1000 $ - $ - $ - $ - $ - $ - $ - $ - $ - $ - $ - $ - $ 4.362 $ 4.362 $ 4.362 $ 4.362 $ 4.362 $ 4.362

1000 1000 1000 1000 1000 10002051 2052 2053 2054 2055 2056

0.00000 0.00000 0.00000 0.00000 0.00000 0.000000.00000 0.00000 0.00000 0.00000 0.00000 0.00000

$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0

$0 $0 $0 $0 $0 $0

$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0

$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0

$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0

$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0

$4,362,077 $4,362,077 $4,362,077 $4,362,077 $4,362,077 $4,362,077

1000 1000 1000 1000 1000 1000 $ - $ - $ - $ - $ - $ - $ - $ - $ - $ - $ - $ - $ 4.362 $ 4.362 $ 4.362 $ 4.362 $ 4.362 $ 4.362

1000 1000 1000 1000 10002057 2058 2059 2060 2061

0.00000 0.00000 0.00000 0.00000 0.000000.00000 0.00000 0.00000 0.00000 0.00000

$0 $0 $0 $0 $0$0 $0 $0 $0 $0$0 $0 $0 $0 $0$0 $0 $0 $0 $0$0 $0 $0 $0 $0$0 $0 $0 $0 $0

$0 $0 $0 $0 $0

$0 $0 $0 $0 $0$0 $0 $0 $0 $0$0 $0 $0 $0 $0$0 $0 $0 $0 $0$0 $0 $0 $0 $0$0 $0 $0 $0 $0

$0 $0 $0 $0 $0$0 $0 $0 $0 $0

$0 $0 $0 $0 $0$0 $0 $0 $0 $0$0 $0 $0 $0 $0

$0 $0 $0 $0 $0$0 $0 $0 $0 $0

$4,362,077 $4,362,077 $4,362,077 $4,362,077 $4,362,077

1000 1000 1000 1000 1000 $ - $ - $ - $ - $ - $ - $ - $ - $ - $ - $ 4.362 $ 4.362 $ 4.362 $ 4.362 $ 4.362

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50-$30

-$25

-$20

-$15

-$10

-$5

$0

$5

$10Cost Benefit Analysis: Option 3

Present Value of Benefits ($million) Present Value of Costs ($million)

Cumulative Net Present Value ($million)

Year

Toda

ys D

olla

rs (

$ m

illio

ns)

Cost Benefit Analysis <title of the investment proposal>Option 4: <description of the option>Friday, April 21, 2023

Key Assumptions:Public Sector Discount Rate 2011 8.00%Appraisal period (years) 30 years

Summary of the Results of the Analysis:Capital Costs $55,000,000Whole of Life Costs $70,000,000Present Value of Benefits $47,718,390Present Value of Costs $43,903,348Benefit Cost Ratio 1.09Net Present Value $3,815,042

0 1 2Year 2012 2013 2014Discount factor (mid-year) 0.96225 0.89097 0.82497Discount factor (start of year) 1.00000 0.92593 0.85734

Benefit 1 <description> $400,000 $800,000 $1,200,000Benefit 2 <description> $1,000,000 $1,000,000 $1,000,000Benefit 3 <description> $100,000 $100,000 $500,000Benefit 4 <description> $100,000 $100,000 $100,000Benefit 5 <description> $750,000 $1,500,000 $1,500,000Total Benefits (mid-year) $2,350,000 $3,500,000 $4,300,000

Present Value of Benefits (mid-yr) $2,261,289 $3,118,404 $3,547,391Present Value of Benefits $47,718,390

Cost 1 <description> -$100,000 -$100,000 -$100,000Cost 2 <description> -$100,000 -$100,000 -$100,000Cost 3 <description> -$100,000 -$100,000 -$100,000Cost 4 <description> -$100,000 -$100,000 -$100,000Cost 5 <description> -$100,000 -$100,000 -$100,000Total Costs (mid-year) -$500,000 -$500,000 -$500,000

Capital Costs (at start of year) -$25,000,000 -$5,000,000 $0Total Costs -$25,500,000 -$5,500,000 -$500,000Total Capital Costs -$55,000,000Total Whole of Life Costs -$70,000,000

Present Value of Costs (mid-year) -$481,125 -$445,486 -$412,487Present Value of Costs (start year) -$25,000,000 -$4,629,630 $0Present Value of Costs (by year) -$25,481,125 -$5,075,116 -$412,487Present Value of Costs -$43,903,348

Input the relevant latest published rate from http://www.treasury.govt.nz/publications/guidance/planning/costbenefitanalysis

Input the required period of the analysis, typically the term of the required services (max 50 years)

The sum of the discounted benefits over the appraisal period

The sum of the discounted net cash-flows over the appraisal period. Equal to Present Value of Benefits less Present Value of Costs

Net Cash Flows -$23,150,000 -$2,000,000 $3,800,000Net Present Value (by year) -$23,219,837 -$1,956,712 $3,134,904Cumulative NPV -$23,219,837 -$25,176,548 -$22,041,645

Chart data only:Year 0 1 2Present Value of Benefits ($million) $ 2.261 $ 3.118 $ 3.547 Present Value of Costs ($million) -$ 25.481 -$ 5.075 -$ 0.412 Cumulative Net Present Value ($million) -$ 23.220 -$ 25.177 -$ 22.042

3 4 5 6 7 82015 2016 2017 2018 2019 2020

0.76387 0.70728 0.65489 0.60638 0.56146 0.519870.79383 0.73503 0.68058 0.63017 0.58349 0.54027

$1,200,000 $1,200,000 $1,200,000 $1,200,000 $1,200,000 $1,200,000$1,000,000 $1,000,000 $1,000,000 $1,000,000 $1,000,000 $1,000,000

$500,000 $500,000 $500,000 $500,000 $500,000 $500,000$100,000 $100,000 $100,000 $100,000 $100,000 $100,000

$1,500,000 $1,500,000 $1,500,000 $1,500,000 $1,500,000 $1,500,000$4,300,000 $4,300,000 $4,300,000 $4,300,000 $4,300,000 $4,300,000

$3,284,621 $3,041,316 $2,816,033 $2,607,438 $2,414,295 $2,235,458

-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$500,000 -$500,000 -$500,000 -$500,000 -$500,000 -$500,000

$0 $0 $0 -$5,000,000 $0 $0-$500,000 -$500,000 -$500,000 -$5,500,000 -$500,000 -$500,000

-$381,933 -$353,641 -$327,446 -$303,191 -$280,732 -$259,937$0 $0 $0 -$3,150,848 $0 $0

-$381,933 -$353,641 -$327,446 -$3,454,039 -$280,732 -$259,937

Input the relevant latest published rate from http://www.treasury.govt.nz/publications/guidance/planning/costbenefitanalysis

Input the required period of the analysis, typically the term of the required services (max 50 years)

The sum of the discounted benefits over the appraisal period

The sum of the discounted net cash-flows over the appraisal period. Equal to Present Value of Benefits less Present Value of Costs

$3,800,000 $3,800,000 $3,800,000 -$1,200,000 $3,800,000 $3,800,000$2,902,689 $2,687,675 $2,488,588 -$846,600 $2,133,563 $1,975,521

-$19,138,956 -$16,451,281 -$13,962,694 -$14,809,294 -$12,675,731 -$10,700,210

3 4 5 6 7 8 $ 3.285 $ 3.041 $ 2.816 $ 2.607 $ 2.414 $ 2.235 -$ 0.382 -$ 0.354 -$ 0.327 -$ 3.454 -$ 0.281 -$ 0.260 -$ 19.139 -$ 16.451 -$ 13.963 -$ 14.809 -$ 12.676 -$ 10.700

9 10 11 12 13 142021 2022 2023 2024 2025 2026

0.48136 0.44571 0.41269 0.38212 0.35382 0.327610.50025 0.46319 0.42888 0.39711 0.36770 0.34046

$1,200,000 $1,200,000 $1,200,000 $1,200,000 $1,200,000 $1,200,000$1,000,000 $1,000,000 $1,000,000 $1,000,000 $1,000,000 $1,000,000

$500,000 $500,000 $500,000 $500,000 $500,000 $500,000$100,000 $100,000 $100,000 $100,000 $100,000 $100,000

$1,500,000 $1,500,000 $1,500,000 $1,500,000 $1,500,000 $1,500,000$4,300,000 $4,300,000 $4,300,000 $4,300,000 $4,300,000 $4,300,000

$2,069,869 $1,916,545 $1,774,579 $1,643,128 $1,521,415 $1,408,718

-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$500,000 -$500,000 -$500,000 -$500,000 -$500,000 -$500,000

$0 $0 -$5,000,000 $0 $0 $0-$500,000 -$500,000 -$5,500,000 -$500,000 -$500,000 -$500,000

-$240,682 -$222,854 -$206,346 -$191,061 -$176,909 -$163,804$0 $0 -$2,144,414 $0 $0 $0

-$240,682 -$222,854 -$2,350,761 -$191,061 -$176,909 -$163,804

$3,800,000 $3,800,000 -$1,200,000 $3,800,000 $3,800,000 $3,800,000$1,829,186 $1,693,691 -$576,182 $1,452,067 $1,344,506 $1,244,913

-$8,871,024 -$7,177,333 -$7,753,515 -$6,301,448 -$4,956,941 -$3,712,028

9 10 11 12 13 14 $ 2.070 $ 1.917 $ 1.775 $ 1.643 $ 1.521 $ 1.409 -$ 0.241 -$ 0.223 -$ 2.351 -$ 0.191 -$ 0.177 -$ 0.164 -$ 8.871 -$ 7.177 -$ 7.754 -$ 6.301 -$ 4.957 -$ 3.712

15 16 17 18 19 202027 2028 2029 2030 2031 2032

0.30334 0.28087 0.26007 0.24080 0.22297 0.206450.31524 0.29189 0.27027 0.25025 0.23171 0.21455

$1,200,000 $1,200,000 $1,200,000 $1,200,000 $1,200,000 $1,200,000$1,000,000 $1,000,000 $1,000,000 $1,000,000 $1,000,000 $1,000,000

$500,000 $500,000 $500,000 $500,000 $500,000 $500,000$100,000 $100,000 $100,000 $100,000 $100,000 $100,000

$1,500,000 $1,500,000 $1,500,000 $1,500,000 $1,500,000 $1,500,000$4,300,000 $4,300,000 $4,300,000 $4,300,000 $4,300,000 $4,300,000

$1,304,368 $1,207,748 $1,118,286 $1,035,450 $958,750 $887,731

-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$500,000 -$500,000 -$500,000 -$500,000 -$500,000 -$500,000

$0 -$5,000,000 $0 $0 $0 $0-$500,000 -$5,500,000 -$500,000 -$500,000 -$500,000 -$500,000

-$151,671 -$140,436 -$130,033 -$120,401 -$111,483 -$103,225$0 -$1,459,452 $0 $0 $0 $0

-$151,671 -$1,599,888 -$130,033 -$120,401 -$111,483 -$103,225

$3,800,000 -$1,200,000 $3,800,000 $3,800,000 $3,800,000 $3,800,000$1,152,698 -$392,140 $988,252 $915,049 $847,267 $784,507

-$2,559,330 -$2,951,470 -$1,963,218 -$1,048,169 -$200,902 $583,604

15 16 17 18 19 20 $ 1.304 $ 1.208 $ 1.118 $ 1.035 $ 0.959 $ 0.888 -$ 0.152 -$ 1.600 -$ 0.130 -$ 0.120 -$ 0.111 -$ 0.103 -$ 2.559 -$ 2.951 -$ 1.963 -$ 1.048 -$ 0.201 $ 0.584

21 22 23 24 25 262033 2034 2035 2036 2037 2038

0.19116 0.17700 0.16389 0.15175 0.14051 0.130100.19866 0.18394 0.17032 0.15770 0.14602 0.13520

$1,200,000 $1,200,000 $1,200,000 $1,200,000 $1,200,000 $1,200,000$1,000,000 $1,000,000 $1,000,000 $1,000,000 $1,000,000 $1,000,000

$500,000 $500,000 $500,000 $500,000 $500,000 $500,000$100,000 $100,000 $100,000 $100,000 $100,000 $100,000

$1,500,000 $1,500,000 $1,500,000 $1,500,000 $1,500,000 $1,500,000$4,300,000 $4,300,000 $4,300,000 $4,300,000 $4,300,000 $4,300,000

$821,973 $761,086 $704,710 $652,509 $604,175 $559,421

-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$100,000 -$100,000 -$100,000 -$100,000 -$100,000 -$100,000-$500,000 -$500,000 -$500,000 -$500,000 -$500,000 -$500,000

-$5,000,000 $0 $0 $0 $0 -$5,000,000-$5,500,000 -$500,000 -$500,000 -$500,000 -$500,000 -$5,500,000

-$95,578 -$88,498 -$81,943 -$75,873 -$70,253 -$65,049-$993,279 $0 $0 $0 $0 -$676,009

-$1,088,857 -$88,498 -$81,943 -$75,873 -$70,253 -$741,058

-$1,200,000 $3,800,000 $3,800,000 $3,800,000 $3,800,000 -$1,200,000-$266,884 $672,588 $622,767 $576,636 $533,922 -$181,637$316,721 $989,309 $1,612,075 $2,188,711 $2,722,633 $2,540,997

21 22 23 24 25 26 $ 0.822 $ 0.761 $ 0.705 $ 0.653 $ 0.604 $ 0.559 -$ 1.089 -$ 0.088 -$ 0.082 -$ 0.076 -$ 0.070 -$ 0.741 $ 0.317 $ 0.989 $ 1.612 $ 2.189 $ 2.723 $ 2.541

27 28 29 1000 1000 10002039 2040 2041 2042 2043 2044

0.12046 0.11154 0.10328 0.00000 0.00000 0.000000.12519 0.11591 0.10733 0.00000 0.00000 0.00000

$1,200,000 $1,200,000 $1,200,000 $0 $0 $0$1,000,000 $1,000,000 $1,000,000 $0 $0 $0

$500,000 $500,000 $500,000 $0 $0 $0$100,000 $100,000 $100,000 $0 $0 $0

$1,500,000 $1,500,000 $1,500,000 $0 $0 $0$4,300,000 $4,300,000 $4,300,000 $0 $0 $0

$517,983 $479,614 $444,087 $0 $0 $0

-$100,000 -$100,000 -$100,000 $0 $0 $0-$100,000 -$100,000 -$100,000 $0 $0 $0-$100,000 -$100,000 -$100,000 $0 $0 $0-$100,000 -$100,000 -$100,000 $0 $0 $0-$100,000 -$100,000 -$100,000 $0 $0 $0-$500,000 -$500,000 -$500,000 $0 $0 $0

$0 $0 $0 $0 $0 $0-$500,000 -$500,000 -$500,000 $0 $0 $0

-$60,231 -$55,769 -$51,638 $0 $0 $0$0 $0 $0 $0 $0 $0

-$60,231 -$55,769 -$51,638 $0 $0 $0

$3,800,000 $3,800,000 $3,800,000 $0 $0 $0$457,752 $423,845 $392,449 $0 $0 $0

$2,998,749 $3,422,593 $3,815,042 $3,815,042 $3,815,042 $3,815,042

27 28 29 1000 1000 1000 $ 0.518 $ 0.480 $ 0.444 $ - $ - $ - -$ 0.060 -$ 0.056 -$ 0.052 $ - $ - $ - $ 2.999 $ 3.423 $ 3.815 $ 3.815 $ 3.815 $ 3.815

1000 1000 1000 1000 1000 10002045 2046 2047 2048 2049 2050

0.00000 0.00000 0.00000 0.00000 0.00000 0.000000.00000 0.00000 0.00000 0.00000 0.00000 0.00000

$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0

$0 $0 $0 $0 $0 $0

$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0

$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0

$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0

$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0

$3,815,042 $3,815,042 $3,815,042 $3,815,042 $3,815,042 $3,815,042

1000 1000 1000 1000 1000 1000 $ - $ - $ - $ - $ - $ - $ - $ - $ - $ - $ - $ - $ 3.815 $ 3.815 $ 3.815 $ 3.815 $ 3.815 $ 3.815

1000 1000 1000 1000 1000 10002051 2052 2053 2054 2055 2056

0.00000 0.00000 0.00000 0.00000 0.00000 0.000000.00000 0.00000 0.00000 0.00000 0.00000 0.00000

$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0

$0 $0 $0 $0 $0 $0

$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0

$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0

$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0

$0 $0 $0 $0 $0 $0$0 $0 $0 $0 $0 $0

$3,815,042 $3,815,042 $3,815,042 $3,815,042 $3,815,042 $3,815,042

1000 1000 1000 1000 1000 1000 $ - $ - $ - $ - $ - $ - $ - $ - $ - $ - $ - $ - $ 3.815 $ 3.815 $ 3.815 $ 3.815 $ 3.815 $ 3.815

1000 1000 1000 1000 10002057 2058 2059 2060 2061

0.00000 0.00000 0.00000 0.00000 0.000000.00000 0.00000 0.00000 0.00000 0.00000

$0 $0 $0 $0 $0$0 $0 $0 $0 $0$0 $0 $0 $0 $0$0 $0 $0 $0 $0$0 $0 $0 $0 $0$0 $0 $0 $0 $0

$0 $0 $0 $0 $0

$0 $0 $0 $0 $0$0 $0 $0 $0 $0$0 $0 $0 $0 $0$0 $0 $0 $0 $0$0 $0 $0 $0 $0$0 $0 $0 $0 $0

$0 $0 $0 $0 $0$0 $0 $0 $0 $0

$0 $0 $0 $0 $0$0 $0 $0 $0 $0$0 $0 $0 $0 $0

$0 $0 $0 $0 $0$0 $0 $0 $0 $0

$3,815,042 $3,815,042 $3,815,042 $3,815,042 $3,815,042

1000 1000 1000 1000 1000 $ - $ - $ - $ - $ - $ - $ - $ - $ - $ - $ 3.815 $ 3.815 $ 3.815 $ 3.815 $ 3.815

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50-$30

-$25

-$20

-$15

-$10

-$5

$0

$5

$10Cost Benefit Analysis: Option 4

Present Value of Benefits ($million) Present Value of Costs ($million)

Cumulative Net Present Value ($million)

Year

Toda

ys D

olla

rs (

$ m

illio

ns)

Multi-Criteria Analysis <title of the investment proposal>

Option 1<description>

Criteria<description> 50.0% 3 1.50<description> 25.0% 5 1.25<description> 15.0% 4 0.60<description> 10.0% 4 0.40

Overall 100.0% 16 3.8

refer to the comments on the marked cells for guidance

Criteria Weight

Score (out of

10)Weighted

Score

Option 2 Option 3 Option 4<description> <description> <description>

5 2.50 5 2.50 5 2.509 2.25 0 6 1.506 0.90 8 1.20 8 1.203 0.30 5 0.50 8 0.80

23 6.0 18 4.2 27 6.0

Score (out of

10)Weighted

Score

Score (out of

10)Weighted

Score

Score (out of

10)Weighted

Score