The document discusses time value of money concepts including future value, present value, compound interest, and annuities. It provides examples of using the compound interest formula and financial calculators to solve for future value, present value, interest rates, number of periods, and payment amounts of cash flows. It also discusses amortization tables and constructing an amortization schedule for a loan.
This document provides an overview of the time value of money concept. It explains that money has value over time due to compound interest and opportunity cost. The key concepts covered include future value, present value, compounding, discounting, and using timelines and formulas to calculate values. Examples are provided to demonstrate calculating future and present values using different interest rates and time periods. The rule of 72 is also introduced as a way to estimate how long it will take an amount to double at a given interest rate.
This document discusses the concept of time value of money, which is important in financial management. It defines present value and future value, and provides formulas and examples to calculate future value based on the present value, interest rate, and number of periods. Benefits of understanding time value of money include analyzing investment alternatives and business activities involving loans, mortgages, savings, and annuities. Sample problems demonstrate calculating present value and future value using formulas and tables.
The document discusses concepts related to time value of money including compounding, discounting, future value, and present value. It defines key terms like effective interest rate, nominal interest rate, compounding period, and sinking fund factor. Methods are presented for calculating future value and present value of single amounts, annuities, perpetuities, annuities due, and deferred annuities. Reasons for preference of current money like future uncertainty and reinvestment opportunities are also mentioned.
This document discusses the time value of money concept in finance. It defines key terms like present value, future value, simple interest, and compound interest. It provides formulas for calculating future value and present value of single deposits. Examples are given to demonstrate calculating interest using simple interest formulas versus compound interest formulas. Tables are presented to allow looking up interest factors instead of using formulas. The document also introduces the concepts of amortization schedules and using a financial calculator for time value of money problems.
The document discusses the time value of money concept. It explains that a dollar today is worth more than a dollar in the future due to factors like interest rates and the ability to earn interest on money over time. It also discusses the difference between future value, which measures the worth of cash flows after time has passed, and present value, which measures the current worth of future cash flows. Formulas are provided for calculating future value, present value, and the value of annuities over time discounted at a given interest rate. Examples are included to demonstrate calculations.
What is the 'Time Value of Money - TVM'
The time value of money (TVM) is the idea that money available at the present time is worth more than the same amount in the future due to its potential earning capacity. This core principle of finance holds that, provided money can earn interest, any amount of money is worth more the sooner it is received. TVM is also referred to as present discounted value.
BREAKING DOWN 'Time Value of Money - TVM'
Money deposited in a savings account earns a certain interest rate. Rational investors prefer to receive money today rather than the same amount of money in the future because of money's potential to grow in value over a given period of time. Money earning an interest rate is said to be compounding in value.
BREAKING DOWN 'Compound Interest'
Compound Interest Formula
Compound interest is calculated by multiplying the principal amount by one plus the annual interest rate raised to the number of compound periods minus one.The total initial amount of the loan is then subtracted from the resulting value.
The document discusses time value of money concepts including future value, present value, compound interest, and annuities. It provides examples of using the compound interest formula and financial calculators to solve for future value, present value, interest rates, number of periods, and payment amounts of cash flows. It also discusses amortization tables and constructing an amortization schedule for a loan.
This document provides an overview of the time value of money concept. It explains that money has value over time due to compound interest and opportunity cost. The key concepts covered include future value, present value, compounding, discounting, and using timelines and formulas to calculate values. Examples are provided to demonstrate calculating future and present values using different interest rates and time periods. The rule of 72 is also introduced as a way to estimate how long it will take an amount to double at a given interest rate.
This document discusses the concept of time value of money, which is important in financial management. It defines present value and future value, and provides formulas and examples to calculate future value based on the present value, interest rate, and number of periods. Benefits of understanding time value of money include analyzing investment alternatives and business activities involving loans, mortgages, savings, and annuities. Sample problems demonstrate calculating present value and future value using formulas and tables.
The document discusses concepts related to time value of money including compounding, discounting, future value, and present value. It defines key terms like effective interest rate, nominal interest rate, compounding period, and sinking fund factor. Methods are presented for calculating future value and present value of single amounts, annuities, perpetuities, annuities due, and deferred annuities. Reasons for preference of current money like future uncertainty and reinvestment opportunities are also mentioned.
This document discusses the time value of money concept in finance. It defines key terms like present value, future value, simple interest, and compound interest. It provides formulas for calculating future value and present value of single deposits. Examples are given to demonstrate calculating interest using simple interest formulas versus compound interest formulas. Tables are presented to allow looking up interest factors instead of using formulas. The document also introduces the concepts of amortization schedules and using a financial calculator for time value of money problems.
The document discusses the time value of money concept. It explains that a dollar today is worth more than a dollar in the future due to factors like interest rates and the ability to earn interest on money over time. It also discusses the difference between future value, which measures the worth of cash flows after time has passed, and present value, which measures the current worth of future cash flows. Formulas are provided for calculating future value, present value, and the value of annuities over time discounted at a given interest rate. Examples are included to demonstrate calculations.
What is the 'Time Value of Money - TVM'
The time value of money (TVM) is the idea that money available at the present time is worth more than the same amount in the future due to its potential earning capacity. This core principle of finance holds that, provided money can earn interest, any amount of money is worth more the sooner it is received. TVM is also referred to as present discounted value.
BREAKING DOWN 'Time Value of Money - TVM'
Money deposited in a savings account earns a certain interest rate. Rational investors prefer to receive money today rather than the same amount of money in the future because of money's potential to grow in value over a given period of time. Money earning an interest rate is said to be compounding in value.
BREAKING DOWN 'Compound Interest'
Compound Interest Formula
Compound interest is calculated by multiplying the principal amount by one plus the annual interest rate raised to the number of compound periods minus one.The total initial amount of the loan is then subtracted from the resulting value.
This is a free webinar hosted by the Personal Finance concentration area of the Military Families Learning Network on February 21, 2017.
The time value of money (e.g., present and future value of a lump sum or an annuity) is one of the most fundamental building blocks of financial goal-setting and decision-making. This 90-minute webinar will discuss basic time value of money concepts and the application of time value of money concepts to real-life financial planning decisions. The webinar will also model “hands-on” calculations that participants can use with others (e.g., clients and students) and describe online resources (e.g., videos, calculators, and curricula) that teach time value of money concepts. Participants should bring a financial calculator to complete a series of financial decision-making problems that will be presented during the webinar.
Participants will need to do manual calculations during this webinar. Please join the webinar with a calculator or have access to an online calculator. Additional webinar resources available at https://learn.extension.org/events/2878.
Seth Bullock plans to open a new gold mine in South Dakota. The CFO, Alma Garrett, estimates the mine will generate cash flows for 8 years based on an initial investment of $400 million. She calculates the projected cash flows and net present value to help the owners make a rational financial decision about the project.
Time value of money- TVM ( Discouting and Compounding)Sweetp999
- Time value of money is important for financial decisions like capital budgeting, capital structure, and dividends.
- Money has time value because people prefer current consumption to future consumption, money can be reinvested, and inflation decreases future purchasing power.
- Compounding allows money to earn interest on prior interest amounts over time, increasing the future value. Present value calculations discount future cash flows to determine their value today.
- Tables provide compound interest factors to simplify calculations of future and present values for single amounts, series of cash flows, and annuities received or paid periodically.
The document discusses various time value of money concepts including future value, present value, perpetuities, and annuities. It provides examples of calculations for future and present value of a single sum, as well as present value calculations for perpetuities and annuities. Uneven cash flows are discussed as being the sum of present values of regular cash flows. Key steps in solving time value problems are identified as drawing the timeline, identifying the cash flows, determining what value is being calculated, and using the appropriate formula.
- Present value is the current worth of a future sum of money or stream of cash flows given a specified rate of return.
- Discounting is the process of determining the present value of future cash flows.
- The document provides examples of using formulas to calculate future and present values under different interest rates and time periods, demonstrating the impact of compounding.
time value of money
,
concept of time value of money
,
significance of time value of money
,
present value vs future value
,
solve for the present value
,
simple vs compound interest rate
,
nominal vs effective annual interest rates
,
future value of a lump sum
,
solve for the future value
,
present value of a lump sum
,
types of annuity
,
future value of an annuity
The document discusses time value of money concepts including present and future value, compound interest, annuities, loans, mortgages, and other applications. Key equations for present value, future value, and annuities are presented along with examples showing how to apply the equations and use a financial calculator to solve time value of money problems.
This document discusses the time value of money (TVM), which refers to how the value of money changes over time based on factors like inflation and interest rates. TVM can be calculated using formulas, tables, spreadsheets or financial calculators. It has many applications in business and finance, such as capital budgeting, bond valuation, loan payments, and retirement planning. TVM involves determining the present or future value of cash flows given inputs like the rate of return, time period, and frequency or timing of payments.
This document discusses the time value of money concept. It defines key terms like present value, future value, interest rates, and annuities. It provides formulas to calculate future value, present value, and annuities. Examples are given to demonstrate calculating simple and compound interest, present and future value of cash flows over single and multiple periods, and ordinary and due annuities. The document also covers topics like finding interest rates, time periods, and loan amortization.
The document discusses the concepts of time value of money, interest, and annuities. It defines key terms like present value, future value, simple interest, compound interest, and ordinary annuity. It provides examples of calculating simple interest, compound interest, future value, present value, and future value of annuities using standard formulas. Various questions and solutions are given to illustrate time value of money calculations.
The document provides an overview of annuities and time value of money concepts. It discusses ordinary annuities, including how to calculate future value, payment amount, interest rate, and number of periods for an ordinary annuity. It also covers present value of annuities, amortized loans including loan payments and schedules, and annuities due. Examples are provided for each topic and how to solve them using a financial calculator or Excel spreadsheet.
this is a lecture on time value of money which explains the topic time value of money in a very easy and simple way... it also explains some examples on the topic... plus definition of rate of return, real rate of return, inflation premium, nominal interest rate,market risk, maturity risk,liquidity risk,and default risk,
This document provides an overview of key finance concepts for managers in a course on finance. It defines cash flows, rates of return, interest rates, time value of money, and timelines. It also explains future value and present value calculations for ordinary annuities and annuities due using relevant formulas. Compounding and discounting are shown to be related concepts for dealing with time value of money.
The document discusses the time value of money concept. It defines time value of money as the principle that a dollar received today is worth more than a dollar received tomorrow due to interest earnings. It then provides examples of simple and compound interest calculations to illustrate the difference. Finally, it outlines the key formulas used in present value, future value, and annuity calculations including variables like present value, future value, interest rate, and time periods.
Understanding the time value of money (annuity)DIANN MOORMAN
Here are the key points:
- Future value, present value, annuities, amortized loans are important time value of money concepts
- Formulas allow you to calculate unknown values (e.g. future value) given known amounts, interest rates, time periods
- Make sure time frames are consistent when annual vs monthly payments/interest are used
- Financial calculators make the calculations easy but understanding the concepts is important
The document summarizes key concepts about the time value of money including:
- Compound interest formulas to calculate future and present value over time.
- The parable of the talents discusses how servants invested their master's money and earned returns, teaching the lesson of investing money for growth.
- Examples are provided to illustrate compound vs simple interest calculations and applications to mortgages, loans, and retirement savings.
- Formulas are defined for simple interest, compounding, discounting, annuities, perpetuities and varying compound periods.
The document discusses the time value of money concept. It explains that money available now is worth more than the same amount in the future due to potential earning capacity. Factors like principal, interest rate, number of periods, and compounding vs. discounting techniques affect time value of money calculations. Reasons for the time value of money include risk, inflation, consumption preferences, and investment opportunities. The importance and techniques of time value of money are also summarized.
The document discusses time value of money concepts including future value, present value, annuities, effective annual rate, and compound interest. It provides examples of calculating future value, present value, and annuities using time value of money formulas. Spreadsheet functions for solving time value problems are also introduced.
The document discusses time value of money concepts including future value, present value, and compounding and discounting techniques. It provides examples of calculating future value using the equation approach (FV=PV(1+i)n) and tabular approach (FV=PV(FVIFi,n)) for annual, semi-annual, quarterly, monthly, and continuous compounding. It also gives an example problem calculating the future value of Tk. 1,000 invested for 3 and 10 years at various interest rates ranging from 10-100% compounded annually, semi-annually, quarterly, monthly, and continuously.
The document discusses various concepts related to time value of money and capital budgeting. It defines time value of money as the principle that money available now is worth more than the same amount in the future. It then discusses practical applications of time value techniques in investment decisions. The document also covers compounding and discounting methods, formulas for calculating future and present values of single amounts and annuities. Finally, it discusses various capital budgeting techniques like payback period, accounting rate of return, net present value, internal rate of return, and profitability index.
Introduction to Financial Analytics -Fundamentals of Finance Class I
by Reuben Ray; reuben@pexitics.com
• Time value of money.
• Present value & future value of money.
• Applications of TVM (Time Value of Money)
• Annuity & perpetuity concepts.
• Introduction to financial statements.
This is a free webinar hosted by the Personal Finance concentration area of the Military Families Learning Network on February 21, 2017.
The time value of money (e.g., present and future value of a lump sum or an annuity) is one of the most fundamental building blocks of financial goal-setting and decision-making. This 90-minute webinar will discuss basic time value of money concepts and the application of time value of money concepts to real-life financial planning decisions. The webinar will also model “hands-on” calculations that participants can use with others (e.g., clients and students) and describe online resources (e.g., videos, calculators, and curricula) that teach time value of money concepts. Participants should bring a financial calculator to complete a series of financial decision-making problems that will be presented during the webinar.
Participants will need to do manual calculations during this webinar. Please join the webinar with a calculator or have access to an online calculator. Additional webinar resources available at https://learn.extension.org/events/2878.
Seth Bullock plans to open a new gold mine in South Dakota. The CFO, Alma Garrett, estimates the mine will generate cash flows for 8 years based on an initial investment of $400 million. She calculates the projected cash flows and net present value to help the owners make a rational financial decision about the project.
Time value of money- TVM ( Discouting and Compounding)Sweetp999
- Time value of money is important for financial decisions like capital budgeting, capital structure, and dividends.
- Money has time value because people prefer current consumption to future consumption, money can be reinvested, and inflation decreases future purchasing power.
- Compounding allows money to earn interest on prior interest amounts over time, increasing the future value. Present value calculations discount future cash flows to determine their value today.
- Tables provide compound interest factors to simplify calculations of future and present values for single amounts, series of cash flows, and annuities received or paid periodically.
The document discusses various time value of money concepts including future value, present value, perpetuities, and annuities. It provides examples of calculations for future and present value of a single sum, as well as present value calculations for perpetuities and annuities. Uneven cash flows are discussed as being the sum of present values of regular cash flows. Key steps in solving time value problems are identified as drawing the timeline, identifying the cash flows, determining what value is being calculated, and using the appropriate formula.
- Present value is the current worth of a future sum of money or stream of cash flows given a specified rate of return.
- Discounting is the process of determining the present value of future cash flows.
- The document provides examples of using formulas to calculate future and present values under different interest rates and time periods, demonstrating the impact of compounding.
time value of money
,
concept of time value of money
,
significance of time value of money
,
present value vs future value
,
solve for the present value
,
simple vs compound interest rate
,
nominal vs effective annual interest rates
,
future value of a lump sum
,
solve for the future value
,
present value of a lump sum
,
types of annuity
,
future value of an annuity
The document discusses time value of money concepts including present and future value, compound interest, annuities, loans, mortgages, and other applications. Key equations for present value, future value, and annuities are presented along with examples showing how to apply the equations and use a financial calculator to solve time value of money problems.
This document discusses the time value of money (TVM), which refers to how the value of money changes over time based on factors like inflation and interest rates. TVM can be calculated using formulas, tables, spreadsheets or financial calculators. It has many applications in business and finance, such as capital budgeting, bond valuation, loan payments, and retirement planning. TVM involves determining the present or future value of cash flows given inputs like the rate of return, time period, and frequency or timing of payments.
This document discusses the time value of money concept. It defines key terms like present value, future value, interest rates, and annuities. It provides formulas to calculate future value, present value, and annuities. Examples are given to demonstrate calculating simple and compound interest, present and future value of cash flows over single and multiple periods, and ordinary and due annuities. The document also covers topics like finding interest rates, time periods, and loan amortization.
The document discusses the concepts of time value of money, interest, and annuities. It defines key terms like present value, future value, simple interest, compound interest, and ordinary annuity. It provides examples of calculating simple interest, compound interest, future value, present value, and future value of annuities using standard formulas. Various questions and solutions are given to illustrate time value of money calculations.
The document provides an overview of annuities and time value of money concepts. It discusses ordinary annuities, including how to calculate future value, payment amount, interest rate, and number of periods for an ordinary annuity. It also covers present value of annuities, amortized loans including loan payments and schedules, and annuities due. Examples are provided for each topic and how to solve them using a financial calculator or Excel spreadsheet.
this is a lecture on time value of money which explains the topic time value of money in a very easy and simple way... it also explains some examples on the topic... plus definition of rate of return, real rate of return, inflation premium, nominal interest rate,market risk, maturity risk,liquidity risk,and default risk,
This document provides an overview of key finance concepts for managers in a course on finance. It defines cash flows, rates of return, interest rates, time value of money, and timelines. It also explains future value and present value calculations for ordinary annuities and annuities due using relevant formulas. Compounding and discounting are shown to be related concepts for dealing with time value of money.
The document discusses the time value of money concept. It defines time value of money as the principle that a dollar received today is worth more than a dollar received tomorrow due to interest earnings. It then provides examples of simple and compound interest calculations to illustrate the difference. Finally, it outlines the key formulas used in present value, future value, and annuity calculations including variables like present value, future value, interest rate, and time periods.
Understanding the time value of money (annuity)DIANN MOORMAN
Here are the key points:
- Future value, present value, annuities, amortized loans are important time value of money concepts
- Formulas allow you to calculate unknown values (e.g. future value) given known amounts, interest rates, time periods
- Make sure time frames are consistent when annual vs monthly payments/interest are used
- Financial calculators make the calculations easy but understanding the concepts is important
The document summarizes key concepts about the time value of money including:
- Compound interest formulas to calculate future and present value over time.
- The parable of the talents discusses how servants invested their master's money and earned returns, teaching the lesson of investing money for growth.
- Examples are provided to illustrate compound vs simple interest calculations and applications to mortgages, loans, and retirement savings.
- Formulas are defined for simple interest, compounding, discounting, annuities, perpetuities and varying compound periods.
The document discusses the time value of money concept. It explains that money available now is worth more than the same amount in the future due to potential earning capacity. Factors like principal, interest rate, number of periods, and compounding vs. discounting techniques affect time value of money calculations. Reasons for the time value of money include risk, inflation, consumption preferences, and investment opportunities. The importance and techniques of time value of money are also summarized.
The document discusses time value of money concepts including future value, present value, annuities, effective annual rate, and compound interest. It provides examples of calculating future value, present value, and annuities using time value of money formulas. Spreadsheet functions for solving time value problems are also introduced.
The document discusses time value of money concepts including future value, present value, and compounding and discounting techniques. It provides examples of calculating future value using the equation approach (FV=PV(1+i)n) and tabular approach (FV=PV(FVIFi,n)) for annual, semi-annual, quarterly, monthly, and continuous compounding. It also gives an example problem calculating the future value of Tk. 1,000 invested for 3 and 10 years at various interest rates ranging from 10-100% compounded annually, semi-annually, quarterly, monthly, and continuously.
The document discusses various concepts related to time value of money and capital budgeting. It defines time value of money as the principle that money available now is worth more than the same amount in the future. It then discusses practical applications of time value techniques in investment decisions. The document also covers compounding and discounting methods, formulas for calculating future and present values of single amounts and annuities. Finally, it discusses various capital budgeting techniques like payback period, accounting rate of return, net present value, internal rate of return, and profitability index.
Introduction to Financial Analytics -Fundamentals of Finance Class I
by Reuben Ray; reuben@pexitics.com
• Time value of money.
• Present value & future value of money.
• Applications of TVM (Time Value of Money)
• Annuity & perpetuity concepts.
• Introduction to financial statements.
This document outlines key concepts related to time value of money including: future value and present value calculations using formulas that take into account interest rate, time period, and frequency of compounding. It provides examples of how to determine future or present value of single and multiple cash flows, as well as annuities and perpetuities. Key terms defined include time value, compounding, discounting, and effective annual rate.
This document outlines key concepts related to time value of money including: future value and present value calculations using formulas that take into account interest rate, time period, and frequency of compounding. It provides examples of how to determine future or present value of single and multiple cash flows, as well as annuities and perpetuities. Key terms defined include time value, compounding, discounting, and effective annual rate.
This document discusses the time value of money and various time value of money concepts. It begins by explaining that money has time value because it can earn interest over time and because purchasing power changes with inflation over time. It then discusses the role of time value in finance decisions and provides examples comparing cash flows received at different points in time. The document reviews concepts of future value, present value, interest, compounding, discounting, and provides examples of calculations for these topics. It also covers annuities, the difference between ordinary and due annuities, and calculations for future and present value of annuities.
This Slideshare presentation is a partial preview of the full business document. To view and download the full document, please go here:
http://flevy.com/browse/business-document/capital-investment-analysis-230
Capital Investment Analysis
Also called Capital Budgeting - a complex topic simplified in an easy to understand presentation which is completely self-explanatory. Explains the framework for financial analysis with examples and provides practical insights. Can be used for reference, training & self paced learning. The presentation includes examples worked in an Excel sheet.
Covers:
* The nature & characteristics of long term investments made by corporations
* The problem associated with measuring the rate of return with long term investments
* The approach to solving this problem
* The key methods used in calculating the rate of return and evaluating alternatives
* The practical aspects of the various inputs required to calculate the return on investment
* The basics of the risks associated with long term investments & how to factor ?in such risks
* The strategic considerations involved in long term investment decisions
* The processes involved in long term investment decisions & its implementation
FINANCIAL MANAGEMENT PPT BY FINMAN Time value of money officialMary Rose Habagat
The document discusses time value of money concepts and calculations. It explains that time value of money allows comparison of cash flows that occur at different points in time. It then covers key time value of money concepts like future value, present value, compound interest, annuities, and perpetuities. Examples are provided to demonstrate calculations for future value, present value, ordinary annuities, annuities due, and mixed cash flow streams using tables and Excel functions. The document aims to develop an understanding of time value of money principles and computations that are important for accounting, finance, management, and personal financial planning.
This document provides an overview of discounted cash flow valuation concepts including time value of money, compounding and discounting rates, and calculations for present and future value of single and multiple cash flows. Key points covered include:
- Calculating future and present value of single cash flows
- Differences between simple and compound interest
- Effective annual rates for different compounding periods
- Formulas and examples for perpetuities, growing perpetuities, and ordinary annuities
- Learning objectives are to understand time value concepts and perform cash flow calculations for valuation
Management Accounting: A Road of Discovery discusses capital budgeting and the balanced scorecard. It explains the need for multiple capital budgeting methods like net present value (NPV) and accounting rate of return (ARR) to evaluate investments. A balanced scorecard uses non-financial measures from four perspectives - financial, customer, internal processes, and innovation/learning - to assess long-term value in addition to traditional financial metrics. The document provides examples of goals and measures for each balanced scorecard perspective from various companies.
This chapter introduces key concepts of time value of money including computing future and present values. It provides formulas and examples for determining the future or present value of an investment given the principal, interest rate, and time period. It also discusses how to calculate the implied interest rate of an investment or number of periods to reach a future value using these time value of money formulas. The chapter aims to help readers understand how money changes in value over time due to interest, inflation, and compounding effects.
TVM, Future Value Interest Factor (FVIF), Present Value Interest Factor (PVIF), present value interest factor of an annuity (PVIFA)
Using estimated rates of return, you can compare the value of the annuity payments to the lump sum.
The present value interest factor may only be calculated if the annuity payments are for a predetermined amount spanning a predetermined range of time.
Time Value of Money Formula
FV = PV x [ 1 + (i / n) ] (n x t)
Formula for Future Value Interest factor:
FVIF = (1+r)n
Formula for PVIF
PVIF = 1 / (1 + r)n
The document discusses time value of money concepts including compound interest, future value, present value, and annuities. It provides examples of calculating future and present values of single cash flows and annuities using time value of money formulas and tables. It also covers calculating future and present values of mixed cash flows, annual payments required to reach a future value, and steps for solving time value of money problems.
- The time value of money concept holds that money today is worth more than the same amount in the future due to its potential for growth through interest.
- Formulas for future value, present value, future value interest factors, and present value interest factors are provided to calculate the value of money over time at different interest rates and compounding periods.
- Examples demonstrate calculating future and present values using these time value of money formulas in different scenarios like annual, semi-annual, and daily compounding.
The document provides information about various project appraisal techniques used to evaluate capital investment projects. It defines break-even point and provides the formula to calculate it. It also discusses time value of money concepts like future value, present value, annuity, perpetuity, sinking fund etc. Different discounted cash flow methods like net present value, internal rate of return, profitability index are introduced. Non-discounted methods like payback period and accounting rate of return are also covered briefly.
Financial planning is important to meet future financial goals. The steps in financial planning include gathering financial data, identifying goals, finding gaps between current situation and goals, preparing a financial plan, and implementing and reviewing the plan. Key components of a financial plan are having SMART goals that are specific, measurable, attainable, realistic, and time-bound. Financial planning tools like present value and future value calculations help account for the time value of money and power of compounding over long periods.
Time Value of Money (TVM), also known as present discounted value, refers to the notion that money available now is worth more than the same amount in the future, because of its ability to grow.
The term is similar to the concept of ‘time is money’, in the sense of the money itself, rather than one’s own time that is invested. As long as money can earn interest (which it can), it is worth more the sooner you get it.
1) The document discusses various concepts related to time value of money including interest, compound interest, future value, present value, and effective interest rate.
2) Examples are provided to demonstrate how to calculate future value, present value, sinking funds, and annual payments using time value of money formulas.
3) The key factors that determine time value are the principal amount, interest rate, and number of periods; the interest earned allows money now to be worth more in the future.
This chapter discusses financial mathematics and time value of money concepts. It covers calculating future and present values of single amounts as well as annuities. Key points covered include:
- Understanding why time value of money is important for accounting, management, marketing, and other business functions.
- Using formulas to calculate future and present values, as well as future and present values of ordinary, due, deferred, and forfeited annuities.
- Examples are provided to demonstrate calculating interest earned over time, compounding periods, and valuations of cash flows at different points in time.
The document discusses various concepts related to personal finance planning including the importance of financial planning, steps in the financial planning process, and tools for financial planning like SMART goals, savings and investment, time value of money, present value, and future value. It provides examples and activities to explain these concepts in a clear and easy to understand manner.
This chapter discusses the time value of money, which refers to the concept that money available now is worth more than the same amount in the future due to its potential to earn interest. It defines key terms like simple vs compound interest and compounding vs discounting. It provides formulas to calculate future and present value for single amounts, annuities, and perpetuities. It also discusses how to determine interest rates and explains compounding more frequently than annually.
Similar to Cost & Management Accounting 2- TMUC (20)
The APCO Geopolitical Radar - Q3 2024 The Global Operating Environment for Bu...APCO
The Radar reflects input from APCO’s teams located around the world. It distils a host of interconnected events and trends into insights to inform operational and strategic decisions. Issues covered in this edition include:
Company Valuation webinar series - Tuesday, 4 June 2024FelixPerez547899
This session provided an update as to the latest valuation data in the UK and then delved into a discussion on the upcoming election and the impacts on valuation. We finished, as always with a Q&A
Storytelling is an incredibly valuable tool to share data and information. To get the most impact from stories there are a number of key ingredients. These are based on science and human nature. Using these elements in a story you can deliver information impactfully, ensure action and drive change.
Event Report - SAP Sapphire 2024 Orlando - lots of innovation and old challengesHolger Mueller
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4. Time Value of Money
Definition Con’t
• Time value of money is the concept that the value
of a dollar to be received in future is less than the
value of a dollar on hand today (Jan, 2016).
5. Time Value of Money
Future Value
• Future Value (FV)- This is the amount of compounded interest earned at
the end of the time period plus the initial capital (Moak & Mullin, 2014).
This can be computed by using the following formula:
(1+i)n X Original Investment
6. Time Value of Money
Future Value Con’t
Example
• What is the balance in an account at the end of 10 years
if $15,000.00 is deposited today and the account earns a
5% interest rate, compounded annually?
7. Time Value of Money
Future Value Con’t
Solution
FV = (1+i)n X Original Investment
FV = (1+0.05)10 X $15,000.00
FV = ( 1.6288) X $15,000.00
FV = $24,433.41
8. Time Value of Money
Present Value
• Present Value (PV)- This is the current value of a future sum. The value is
discounted back to a given interest rate for a specified period of time. This can be
computed by using the following formula:
FV / (1+i)n
9. Time Value of Money
Present Value Con’t
Example
• In the next 10 years, the future value in Mr. John’s account will
be $15,000.00. You were then informed that the interest rate is
5% annually. What is the present value in his account?
10. Time Value of Money
Present Value Con’t
Solution
PV = FV / (1+i)n
PV = 15000.00/(1+0.05)10
PV = $15,000.00/1.6288
PV = $9208.69
12. Time Value of Money
Activity
CASE FUTURE
VALUE
INTEREST
RATE
NUMBER
OF
PERIODS
PRESENT
VALUE
A $10,000.00 5% 5 $?
B $? 4% 20 $256,945.85
C $5,000.00 5.5% 3 $?
13. Time Value of Money
FUTURE VALUE
• FV = (1+i)n X Original Investment
PRESENT VALUE
• PV = FV / (1+i)n
14. Time Value of Money
Activity
CASE FUTURE
VALUE
INTEREST
RATE
NUMBER
OF
PERIODS
PRESENT
VALUE
A $10,000.00 5% 5 $?
B $? 4% 20 $256,945.85
C $5,000.00 5.5% 3 $?
15. Time Value of Money
FUTURE VALUE
• FV = (1+i)n X Original Investment
PRESENT VALUE
• PV = FV / (1+i)n
16. Time Value of Money
Activity
CASE FUTURE
VALUE
INTEREST
RATE
NUMBER
OF
PERIODS
PRESENT
VALUE
A $10,000.00 5% 5 $?
B $? 4% 20 $256,945.85
C $5,000.00 5.5% 3 $?
17. Time Value of Money
Answers
CASE FUTURE
VALUE
INTEREST
RATE
NUMBER
OF
PERIODS
PRESENT
VALUE
A $10,000.00 5% 5 $7,835.26
B $563,000.00 4% 20 $256,945.85
C $5,000.00 5.5% 3 $4,258.07
19. Net Present Value
Definition
Net Present Value is based on the proposition that the value created
by making an investment can be calculated by setting benefits equal
to the positive cash flows generated by the investment (Cubberly,
1989).
20. Net Present Value
Indicators
• If:
NPV>0 - Accept the investment
NPV<0 - Reject the investment
NPV = 0 - The investment is marginal
21. Net Present Value
Advantages
• Recognizes the value of money (present value of future cash flows).
• Considers the entire life and results of the project.
• Easier to compute than the Internal Rate of Return method.
22. Net Present Value
Disadvantages
• Requires estimation of cash flows over the entire life of the
project, which could be very long.
• Assumes cash flows resulting from new revenues or cost
savings are immediately reinvested at the hurdle rate of return.
25. Assessment
A- One might choose to receive the money now because
that money will be worth more now than it will in a
year’s time.
26. Assessment
•Q- Which method is better when computing
capital budgeting; Net Present Value or
Internal Rate of Return ?
27. Assessment
• Net Present Value. This is so primarily because
Internal Rate of Return uses only one discount
rate.
28. Assessment
• State whether the following calculations are true or false:
Mary deposited $10.00 in an account that pays 5% interest. How much will she
have after 10 years? 50 years? 100 years?
10 Years FV= $10.00 (1+0.05)10 = $10.00 (1.6289) = $16.29
50 Years FV= $10.00 (1+0.05)50 = $10.00 (9.4674) = $114.67
100 Years FV= $10.00 (1+0.05)100 = $10.00 (131.50) = $1,000.00