The document discusses methods for evaluating capital investment decisions in healthcare organizations. It introduces the payback period method, which calculates the number of years to recover an initial investment without considering the time value of money. The net present value (NPV) method is presented, which discounts future cash flows to account for the cost of capital and calculates the difference between the initial investment and discounted cash flows. The internal rate of return (IRR) method is also covered, which is the discount rate that makes the NPV equal to zero. Decision rules for accepting or rejecting projects using NPV and IRR are provided.
Managerial Finance. "Risk and Return". Types of risk. Required return. Correlation. Diversification. Beta coefficient. Risk of a portfolio. Capital Asset Pricing Model. Security Market Line.
,
cost of capital
,
bond
,
preferred stock
,
factors influencing cost of capital determination
,
cost of new common stock
,
cost of debt components
,
cost of preferred stock
,
components of cost of capital
This presentation is an overview of Capital Structure Theories.
Dr. Soheli Ghose ( Ph.D (University of Calcutta), M.Phil, M.Com, M.B.A., NET (JRF), B. Ed).
Assistant Professor, Department of Commerce,St. Xavier's College, Kolkata.
Guest Faculty, M.B.A. Finance, University of Calcutta, Kolkata
Managerial Finance. "Risk and Return". Types of risk. Required return. Correlation. Diversification. Beta coefficient. Risk of a portfolio. Capital Asset Pricing Model. Security Market Line.
,
cost of capital
,
bond
,
preferred stock
,
factors influencing cost of capital determination
,
cost of new common stock
,
cost of debt components
,
cost of preferred stock
,
components of cost of capital
This presentation is an overview of Capital Structure Theories.
Dr. Soheli Ghose ( Ph.D (University of Calcutta), M.Phil, M.Com, M.B.A., NET (JRF), B. Ed).
Assistant Professor, Department of Commerce,St. Xavier's College, Kolkata.
Guest Faculty, M.B.A. Finance, University of Calcutta, Kolkata
Cost of Capital,Meaning,Computation of Specific Costs,Cost of Debt,Cost of Preference Shares,Cost of Equity Capital,Cost of Retained Earnings ,Weighted Average Cost of Capital
The presentation slide is on stock valuation. We have tried to present the various techniques to stock valuation under which different methods are discussed with illustrations. Key concepts:
Zero Growth Model
Balance sheet Technique
Constant Growth Model
Two-stage growth Model
Feel Free to comment.
venture capital, process of venture capital, stages of venture capital, stages and process of venture capital, early stage finance, later stage financing,
risk and return. Defining Return, Return Example, Defining Risk,Determining Expected Return , How to Determine the Expected Return and Standard Deviation, Determining Standard Deviation (Risk Measure), Portfolio Risk and Expected Return Example, Determining Portfolio Expected Return, Determining Portfolio Standard Deviation, Summary of the Portfolio Return and Risk Calculation, Total Risk = Systematic Risk + Unsystematic Risk,
This presentation covers the basics of Dividend Discount Model (DDM). Firstly, fundamental formula for valuing a stock using DDM is discussed. After that, 3 cases i.e DDM for zero growth, constant growth, and variable growth stocks, are discussed.
Working capital management — factors determining working capital — estimation of working capital —inventory management techniques — receivables management — management of cash and marketable securities — techniques of cash management — committees on working capital and their findings and recommendations.
Risk And Return In Financial Management PowerPoint Presentation SlidesSlideTeam
Analyze investment risk and profitability with this professionally designed Risk and Return in Financial Management PowerPoint Presentation Slides. The content ready portfolio risk-return trade-off PowerPoint compete deck comprises of PPT slides such as risk and return of stock bonds, and T-bills, investment strategies of predefined portfolios, risk and return of portfolio manager, measuring stock volatility proportionate, portfolio return analysis, calculating asset beta, portfolio value at risk, ranking the passive income streams impact to name a few. Explain the relationship between risk on investing in the financial market with potential return using portfolio risk analysis PPT slides. Utilize the visually appealing risk-reward relationship presentation design to structure your financial presentation. Furthermore, portfolio risk-return in security analysis PPT visuals are completely customizable. You can add or delete the content if needed. Download this visually appealing security analysis and portfolio management presentation deck to manage investment risk. Our Risk And Return In Financial Management PowerPoint Presentation Slides ensure you feel joyous. You will find the inspiration you desire.
Cost of Capital,Meaning,Computation of Specific Costs,Cost of Debt,Cost of Preference Shares,Cost of Equity Capital,Cost of Retained Earnings ,Weighted Average Cost of Capital
The presentation slide is on stock valuation. We have tried to present the various techniques to stock valuation under which different methods are discussed with illustrations. Key concepts:
Zero Growth Model
Balance sheet Technique
Constant Growth Model
Two-stage growth Model
Feel Free to comment.
venture capital, process of venture capital, stages of venture capital, stages and process of venture capital, early stage finance, later stage financing,
risk and return. Defining Return, Return Example, Defining Risk,Determining Expected Return , How to Determine the Expected Return and Standard Deviation, Determining Standard Deviation (Risk Measure), Portfolio Risk and Expected Return Example, Determining Portfolio Expected Return, Determining Portfolio Standard Deviation, Summary of the Portfolio Return and Risk Calculation, Total Risk = Systematic Risk + Unsystematic Risk,
This presentation covers the basics of Dividend Discount Model (DDM). Firstly, fundamental formula for valuing a stock using DDM is discussed. After that, 3 cases i.e DDM for zero growth, constant growth, and variable growth stocks, are discussed.
Working capital management — factors determining working capital — estimation of working capital —inventory management techniques — receivables management — management of cash and marketable securities — techniques of cash management — committees on working capital and their findings and recommendations.
Risk And Return In Financial Management PowerPoint Presentation SlidesSlideTeam
Analyze investment risk and profitability with this professionally designed Risk and Return in Financial Management PowerPoint Presentation Slides. The content ready portfolio risk-return trade-off PowerPoint compete deck comprises of PPT slides such as risk and return of stock bonds, and T-bills, investment strategies of predefined portfolios, risk and return of portfolio manager, measuring stock volatility proportionate, portfolio return analysis, calculating asset beta, portfolio value at risk, ranking the passive income streams impact to name a few. Explain the relationship between risk on investing in the financial market with potential return using portfolio risk analysis PPT slides. Utilize the visually appealing risk-reward relationship presentation design to structure your financial presentation. Furthermore, portfolio risk-return in security analysis PPT visuals are completely customizable. You can add or delete the content if needed. Download this visually appealing security analysis and portfolio management presentation deck to manage investment risk. Our Risk And Return In Financial Management PowerPoint Presentation Slides ensure you feel joyous. You will find the inspiration you desire.
| Capital Budgeting | CB | Payback Period | PBP | Accounting Rate of Return |...Ahmad Hassan
After studying this, you should be able to:
• Understand the payback period (PBP) method of project evaluation and selection, including its: (a) calculation; (b) acceptance criterion; (c) advantages and disadvantages; and (d) focus on liquidity rather than profitability.
• Understand the three major discounted cash flow (DCF) methods of project evaluation and selection – internal rate of return (IRR), net present value (NPV), and accounting rate of return (ARR).
• Explain the calculation, acceptance criterion, and advantages (over the PBP method) for each of the three major DCF methods. l Define, construct, and interpret a graph called an “NPV profile.”
• Understand why ranking project proposals on the basis of the IRR, NPV, and ARR methods “may” lead to conflicts in rankings.
• Describe the situations where ranking projects may be necessary and justify when to use either IRR, NPV, or ARR rankings.
• Understand how “sensitivity analysis” allows us to challenge the single-point input estimates used in traditional capital budgeting analysis.
• Explain the role and process of project monitoring, including “progress reviews” and “postcompletion audits.”
It is the process of considering alternative capital projects and selecting those alternatives that provide the most profitable return on available funds.
Examples of capital projects include land, buildings, equipment and other major fixed asset items.
how to sell pi coins in South Korea profitably.DOT TECH
Yes. You can sell your pi network coins in South Korea or any other country, by finding a verified pi merchant
What is a verified pi merchant?
Since pi network is not launched yet on any exchange, the only way you can sell pi coins is by selling to a verified pi merchant, and this is because pi network is not launched yet on any exchange and no pre-sale or ico offerings Is done on pi.
Since there is no pre-sale, the only way exchanges can get pi is by buying from miners. So a pi merchant facilitates these transactions by acting as a bridge for both transactions.
How can i find a pi vendor/merchant?
Well for those who haven't traded with a pi merchant or who don't already have one. I will leave the telegram id of my personal pi merchant who i trade pi with.
Tele gram: @Pi_vendor_247
#pi #sell #nigeria #pinetwork #picoins #sellpi #Nigerian #tradepi #pinetworkcoins #sellmypi
Turin Startup Ecosystem 2024 - Ricerca sulle Startup e il Sistema dell'Innov...Quotidiano Piemontese
Turin Startup Ecosystem 2024
Una ricerca de il Club degli Investitori, in collaborazione con ToTeM Torino Tech Map e con il supporto della ESCP Business School e di Growth Capital
Currently pi network is not tradable on binance or any other exchange because we are still in the enclosed mainnet.
Right now the only way to sell pi coins is by trading with a verified merchant.
What is a pi merchant?
A pi merchant is someone verified by pi network team and allowed to barter pi coins for goods and services.
Since pi network is not doing any pre-sale The only way exchanges like binance/huobi or crypto whales can get pi is by buying from miners. And a merchant stands in between the exchanges and the miners.
I will leave the telegram contact of my personal pi merchant. I and my friends has traded more than 6000pi coins successfully
Tele-gram
@Pi_vendor_247
Poonawalla Fincorp and IndusInd Bank Introduce New Co-Branded Credit Cardnickysharmasucks
The unveiling of the IndusInd Bank Poonawalla Fincorp eLITE RuPay Platinum Credit Card marks a notable milestone in the Indian financial landscape, showcasing a successful partnership between two leading institutions, Poonawalla Fincorp and IndusInd Bank. This co-branded credit card not only offers users a plethora of benefits but also reflects a commitment to innovation and adaptation. With a focus on providing value-driven and customer-centric solutions, this launch represents more than just a new product—it signifies a step towards redefining the banking experience for millions. Promising convenience, rewards, and a touch of luxury in everyday financial transactions, this collaboration aims to cater to the evolving needs of customers and set new standards in the industry.
The European Unemployment Puzzle: implications from population agingGRAPE
We study the link between the evolving age structure of the working population and unemployment. We build a large new Keynesian OLG model with a realistic age structure, labor market frictions, sticky prices, and aggregate shocks. Once calibrated to the European economy, we quantify the extent to which demographic changes over the last three decades have contributed to the decline of the unemployment rate. Our findings yield important implications for the future evolution of unemployment given the anticipated further aging of the working population in Europe. We also quantify the implications for optimal monetary policy: lowering inflation volatility becomes less costly in terms of GDP and unemployment volatility, which hints that optimal monetary policy may be more hawkish in an aging society. Finally, our results also propose a partial reversal of the European-US unemployment puzzle due to the fact that the share of young workers is expected to remain robust in the US.
what is the best method to sell pi coins in 2024DOT TECH
The best way to sell your pi coins safely is trading with an exchange..but since pi is not launched in any exchange, and second option is through a VERIFIED pi merchant.
Who is a pi merchant?
A pi merchant is someone who buys pi coins from miners and pioneers and resell them to Investors looking forward to hold massive amounts before mainnet launch in 2026.
I will leave the telegram contact of my personal pi merchant to trade pi coins with.
@Pi_vendor_247
how to sell pi coins in all Africa Countries.DOT TECH
Yes. You can sell your pi network for other cryptocurrencies like Bitcoin, usdt , Ethereum and other currencies And this is done easily with the help from a pi merchant.
What is a pi merchant ?
Since pi is not launched yet in any exchange. The only way you can sell right now is through merchants.
A verified Pi merchant is someone who buys pi network coins from miners and resell them to investors looking forward to hold massive quantities of pi coins before mainnet launch in 2026.
I will leave the telegram contact of my personal pi merchant to trade with.
@Pi_vendor_247
What website can I sell pi coins securely.DOT TECH
Currently there are no website or exchange that allow buying or selling of pi coins..
But you can still easily sell pi coins, by reselling it to exchanges/crypto whales interested in holding thousands of pi coins before the mainnet launch.
Who is a pi merchant?
A pi merchant is someone who buys pi coins from miners and resell to these crypto whales and holders of pi..
This is because pi network is not doing any pre-sale. The only way exchanges can get pi is by buying from miners and pi merchants stands in between the miners and the exchanges.
How can I sell my pi coins?
Selling pi coins is really easy, but first you need to migrate to mainnet wallet before you can do that. I will leave the telegram contact of my personal pi merchant to trade with.
Tele-gram.
@Pi_vendor_247
how can I sell pi coins after successfully completing KYCDOT TECH
Pi coins is not launched yet in any exchange 💱 this means it's not swappable, the current pi displaying on coin market cap is the iou version of pi. And you can learn all about that on my previous post.
RIGHT NOW THE ONLY WAY you can sell pi coins is through verified pi merchants. A pi merchant is someone who buys pi coins and resell them to exchanges and crypto whales. Looking forward to hold massive quantities of pi coins before the mainnet launch.
This is because pi network is not doing any pre-sale or ico offerings, the only way to get my coins is from buying from miners. So a merchant facilitates the transactions between the miners and these exchanges holding pi.
I and my friends has sold more than 6000 pi coins successfully with this method. I will be happy to share the contact of my personal pi merchant. The one i trade with, if you have your own merchant you can trade with them. For those who are new.
Message: @Pi_vendor_247 on telegram.
I wouldn't advise you selling all percentage of the pi coins. Leave at least a before so its a win win during open mainnet. Have a nice day pioneers ♥️
#kyc #mainnet #picoins #pi #sellpi #piwallet
#pinetwork
what is the future of Pi Network currency.DOT TECH
The future of the Pi cryptocurrency is uncertain, and its success will depend on several factors. Pi is a relatively new cryptocurrency that aims to be user-friendly and accessible to a wide audience. Here are a few key considerations for its future:
Message: @Pi_vendor_247 on telegram if u want to sell PI COINS.
1. Mainnet Launch: As of my last knowledge update in January 2022, Pi was still in the testnet phase. Its success will depend on a successful transition to a mainnet, where actual transactions can take place.
2. User Adoption: Pi's success will be closely tied to user adoption. The more users who join the network and actively participate, the stronger the ecosystem can become.
3. Utility and Use Cases: For a cryptocurrency to thrive, it must offer utility and practical use cases. The Pi team has talked about various applications, including peer-to-peer transactions, smart contracts, and more. The development and implementation of these features will be essential.
4. Regulatory Environment: The regulatory environment for cryptocurrencies is evolving globally. How Pi navigates and complies with regulations in various jurisdictions will significantly impact its future.
5. Technology Development: The Pi network must continue to develop and improve its technology, security, and scalability to compete with established cryptocurrencies.
6. Community Engagement: The Pi community plays a critical role in its future. Engaged users can help build trust and grow the network.
7. Monetization and Sustainability: The Pi team's monetization strategy, such as fees, partnerships, or other revenue sources, will affect its long-term sustainability.
It's essential to approach Pi or any new cryptocurrency with caution and conduct due diligence. Cryptocurrency investments involve risks, and potential rewards can be uncertain. The success and future of Pi will depend on the collective efforts of its team, community, and the broader cryptocurrency market dynamics. It's advisable to stay updated on Pi's development and follow any updates from the official Pi Network website or announcements from the team.
how can i use my minded pi coins I need some funds.DOT TECH
If you are interested in selling your pi coins, i have a verified pi merchant, who buys pi coins and resell them to exchanges looking forward to hold till mainnet launch.
Because the core team has announced that pi network will not be doing any pre-sale. The only way exchanges like huobi, bitmart and hotbit can get pi is by buying from miners.
Now a merchant stands in between these exchanges and the miners. As a link to make transactions smooth. Because right now in the enclosed mainnet you can't sell pi coins your self. You need the help of a merchant,
i will leave the telegram contact of my personal pi merchant below. 👇 I and my friends has traded more than 3000pi coins with him successfully.
@Pi_vendor_247
Introduction to Indian Financial System ()Avanish Goel
The financial system of a country is an important tool for economic development of the country, as it helps in creation of wealth by linking savings with investments.
It facilitates the flow of funds form the households (savers) to business firms (investors) to aid in wealth creation and development of both the parties
how to swap pi coins to foreign currency withdrawable.DOT TECH
As of my last update, Pi is still in the testing phase and is not tradable on any exchanges.
However, Pi Network has announced plans to launch its Testnet and Mainnet in the future, which may include listing Pi on exchanges.
The current method for selling pi coins involves exchanging them with a pi vendor who purchases pi coins for investment reasons.
If you want to sell your pi coins, reach out to a pi vendor and sell them to anyone looking to sell pi coins from any country around the globe.
Below is the contact information for my personal pi vendor.
Telegram: @Pi_vendor_247
2. Learning Objectives
• Explain the financial objectives of health care providers
• Evaluate various capital investment alternatives
• Calculate and interpret net present value (NPV)
• Calculate and interpret the internal rate of return (IRR)
3. Capital Investments
• Strategic Decisions: decisions designed to increase a health care
organization’s strategic (long-term) position.
Example: purchasing physician practices to increase horizontal integration.
• Expansion Decisions: decisions designed to increase the operational
capability of a heath care organization.
Example: increasing examination space in a group practice to accommodate
increased volume.
• Replacement Decisions: decisions designed to replace older assets with
newer, cost-saving ones.
Example: replacing a hospital’s existing cost-accounting system with a newer
cost-saving one.
• Decision has 2 components:
• Determine if investment is worthwhile
• Determine how to finance the investment
5. Capital Investment Decisions
• Financial Return: direct financial benefits are a primary concern not
only to health care organizations but also to many –if not all-investors
who invest in health care organizations and their projects.
• Future Funding: without new capital funds, many health care
organizations would be unable to offer new services, support
medical research, or subsidize unprofitable services.
• Nonfinancial Benefits : how well an investment enhances the
survival of the organization and supports its mission, patients,
employees and the community is the primary concern.
6. Decisions
• 3 Financial techniques (use only cash flows)
• Payback Method-calculate the time needed to recoup each
investment.
• Net Present Value Method- difference between the initial
amount paid for an investment and future cash inflows the
investment brings in adjusted for the cost of capital.
7. Payback method
• A method to evaluate the feasibility of an investment by
determining how long it would take to recover the initial
investment disregarding the time value of money.
• If the cash flows are equal each year:
Payback period=
풊풏풊풕풊풂풍 풊풏풗풆풔풕풎풆풏풕
풂풏풏풖풂풍 풄풂풔풉 풇풍풐풘풔
8. Example 1:
Givens Years 0 1 2 3 4 5
1. Initial investment ($15,000,0
00)
2. Net opening cash
flows
$2,000,000 $4,000,000 $5,000,000 $8,000,000 $16,000,000
Givens 0 1 2 3 4 5
A. Initial
investment
[Given 1] ($15,000,0
00)
B. Net opening cash
flows
[Given 2] $2,000,000 $4,000,000 $5,000,000 $8,000,000 $16,000,000
C. Cumulative Cash
Flows
(a) ($15,000,0
00)
$13,000,00
0
$9,000,000 $4,000,000 $4,000,000 $20,000,000
Solution:
Payback = year 3.5
9. Example 2:
Givens Years 0 1 2 3 4 5
1. Initial investment ($28,000)
2. Net opening cash
flows
$8,000 $8,000 $8,000 $8,000 $8,000
Givens 0 1 2 3 4 5
A. Initial
investment
[Given 1] ($28,000)
B. Net opening cash
flows
[Given 2] $8,000 $8,000 $8,000 $8,000 $8,000
C. Cumulative Cash
Flows
(a) ($28,000) $20,000 $12,000 $4,000 $4,000 $12,000
Solution:
Payback = year 3.5
10. Strengths and weaknesses of Payback
method
Strengths:
• Simple to calculate
• Easy to understand
Weaknesses:
• Answers in years not dollars
• Disregards cash flows after payback
• Does not account for the time value of money
11. Net Present Value (NPV)
Net Present Value (NPV) : difference between the initial amount paid for an
investment and future cash inflows the investment brings in adjusted for the cost of
capital.
Discounted cash flows: cash flows adjusted to account for the cost of capital.
Cost of capital: the rate of return acquired to undertake a project.; the cost of capital
accounts for both the time value of money and the risk (hurdle rate or discount rate).
12. Taking example 1: discount rate = 15%
Givens 0 1 2 3 4 5
A. Initial
investment
[Given 1] ($15,000,0
00)
B. Net opening cash
flows
[Given 2] $2,000,000 $4,000,000 $5,000,000 $8,000,000 $16,000,000
C. Cumulative Cash
Flows
(a) ($15,000,0
00)
$13,000,00
0
$9,000,000 $4,000,000 $4,000,000 $20,000,000
Givens 0 1 2 3 4 5
D. Present value
interest factors
for 15%
ퟏ
(ퟏ + 풊)풏
[Table
B3]
0.8696 0.7561 0.6575 0.5718 0.4972
E. Present value
of cash flows
[B X D] $1,739,13
0
$3,024,57
5
$3,287,581 $4,574,026 $7,954,828
F. Sum of annual
Cash Flows
[Sum E] $20,580,1
40
G1. Net Present
Value
[A + F] $5,580,14
0
G2. Net Present
value function
$5,580,14
0
13. Taking example 2: discount rate = 20%
Givens 0 1 2 3 4 5
A. Initial
investment
[Given 1] ($28,000)
B. Net opening cash
flows
[Given 2] $8,000 $8,000 $8,000 $8,000 $8,000
C. Cumulative Cash
Flows
(a) ($28,000) $20,000 $12,000 $4,000 $4,000 $12,000
Givens 0 1 2 3 4 5
D. Present value
interest factors
for 15%
ퟏ
(ퟏ + 풊)풏
[Table
B3]
0.8333 0.6944 0.5787 0.4823 0.4019
E. Present value
of cash flows
[B X D] $6,667 $5,556 $4,630 $3,868 $3,215
F. Sum of annual
Cash Flows
[Sum E] $23,925
G1. Net Present
Value
[A + F] $4,075
G2. Net Present
value function
$4,075
14. Example 3:
Givens (in thousands) Years 0 1 2 3 4 5
1. Initial investment ($5,500)
2. Net Revenues $3,000 $3,000 $3,000 $3,000 $3,000 $3,000
3. Cash operating
expenses
$1,200 $1,200 $1,200 $1,200 $1,200 $1,200
4. Depreciation
Expenses
[a] $940 $940 $940 $940 $940 $940
5. Sale of Asset at
salvage value
$800
6. Cost of capital 12%
7. Change in net
working capital
$0 $0 $0 $0 $0 $0
[a] ($5,500,000 Purchase price - $800,000 salvage value) / 5 years = $940 (in ‘000)
15. Solution:
Non-Profit Analysis Years 0 1 2 3 4 5
A. Initial investment [Given 1] ($5,500)
B. Net Revenues [Given 2] $3,000 $3,000 $3,000 $3,000 $3,000 $3,000
C. Less: cash operating
expenses before
depreciation
[Given 3] $1,200 $1,200 $1,200 $1,200 $1,200 $1,200
D. Less: Depreciation
Expense
[Given 4] $940 $940 $940 $940 $940 $940
E. Operating Income [B – C - D] 860 860 860 860 860 860
F. Add: Depreciation
Expense
[Given 4] $940 $940 $940 $940 $940 $940
G. Net Operating Cash
Flows
[E+F] 1,800 1,800 1,800 1,800 1,800 1,800
H. Add: sale of assets at
salvage value
[Given 5] 800
I. Adjustments for
changing in working
capital
-[Given 7) $0 $0 $0 $0 $0 $0
J. Recapture of Net
working capital
-[Sum I] $ 0
K. Project cash flows [G+H+I+J] (5,500) $1,800 $1,800 $1,800 $1,800 $2,600
16. Non-Profit Analysis Years 0 1 2 3 4 5
L. Cost of Capital [Given 6] 12% 12% 12% 12% 12%
M. Present value interest
factors
ퟏ
(ퟏ + 풊)풏
[Table B3] 0.8929 0.7972 0.7118 0.6355 0.5674
N. Annual PV of Cash
flows
[K X M] 1,607 1,435 1,281 1,144 1,475
O. PV of cash Flows [Sum N] $6,943
P. Net Present Value [A + O] $ 1,443
Q. Net Present Value
function check
$ 1,443
Accept Project because NPV is Positive
19. Internal Rate of Return Method
• Rate of return on an investment that makes the NPV equal to
$0 after all cash flows have been discounted at the same
rate.
• It is also the discount rate at which the discounted cash flows
over the life of the project exactly equal the initial
investment.
20. Calculations
• Equal cash flows:
• When the cash flows are equal in each period, the IRR can be
determined by first finding the present value factor for an
annuity and then converting the answer to a discount rate
depending on the number of years.
• 푷푽 = 푨풏풏풖풊풕풚 푿 푷푽푭푨풊,풏
• Unequal Cash flows: used excel sheet.
21. Example 4: Taking example 1 discount rate = 20%
Givens 0 1 2 3 4 5
A. Initial
investment
[Given 1] ($15,000,0
00)
B. Net opening cash
flows
[Given 2] $2,000,000 $4,000,000 $5,000,000 $8,000,000 $16,000,000
C. Cumulative Cash
Flows
(a) ($15,000,0
00)
$13,000,00
0
$9,000,000 $4,000,000 $4,000,000 $20,000,000
Givens 0 1 2 3 4 5
D. Present value
interest factors
for 15%
ퟏ
(ퟏ + 풊)풏
[Table
B3]
0.8696 0.7561 0.6575 0.5718 0.4972
E. Present value
of cash flows
[B X D] $1,739,13
0
$3,024,57
5
$3,287,581 $4,574,026 $7,954,828
F. Sum of annual
Cash Flows
[Sum E] $20,580,1
40
G1. Net Present
Value
[A + F] $5,580,14
0
G2. Net Present
value function
$5,580,14
0
22. Givens 0 1 2 3 4 5
H. Present Value
interest factors
for 20%
ퟏ
(ퟏ + 풊)풏
[Table
B3]
0.6944 0.5787 0.4823 0.5718 0.4019
I. Present Values
of Cash Flows
[B X H] $1,666,66
7
$2,777,77
8
$2,893,519 $3,858,025 $6,430,041
J. Sum of Present
Value of cash
flows
[Sum I] $17,626,0
29
K1. Net Present
Value
[A + J] $2, 626,
029
K2. Net Present
Value Function
$2, 626,
029
L. Internal Rate
of Return
25.56%
25. Summary
• Methods to evaluate capital investment were introduced. The
3 methods specifically discussed were payback, net present
value and internal rate of return.