SlideShare a Scribd company logo
1 of 10
Financial Management
Notes from Regular Lectures-Chapter 1 & 2 (From Akash Sir Lectures)
Chapter 1-Introduction to Financial
Management
 Why Finance?-News discussion from the day
 What is Finance? Different Instances when Financial Management harmed or
uplifted a company
 What works at Individual level usually goes good at higher level, Discussion on
Personal Finance against Corporate Finance
 Different Approaches-Traditional and Modern Approach
 Objective of Financial Management-Profit Maximisation/Wealth Maximisation
 Significance of Financial Management , Roles and Responsibilities of Manager
 Task given-1 Collect SIP Related Brochure possible from nearby and
understand it 2 Read ET/any other standard business newspaper
Chapter 2- Time value of Money
 Newspaper and Current related Discussion
 Task 1 completed or not?
 Discussion on usual reaction of time and money correlation
 How SIPs give a growth and how can they be used for making a certain goal
completed in future? Example discuss
 Two methods-Future Cashflow & Discounted Cashflow model
 Four types under Future Cashflow-
 Single Cashflow
 Uneven Cashflow
 Equal Cashflow
 Multiple Cashflow
Sums
 Future Cashflow of Single Cashflow
 Find Future Cashflow of 5 years at Simple interest of 12% (amount 10000)
Answer: FV=PV(1+N*r)
=10000(1+5*12/100)
=10000(1+5*0.12)
=10000(1+0.60)
=10000(1.60)=16000
Calculate following:
 Find future cashflow of 10 years at Simple interest of 10% ( amount 5000)
 Find future cashflow of 5 years at Simple interest of 12% ( amount 15000)
Sums
 Future Cashflow of Single Cashflow
 Here , There will be Single cashflow each year however interest rate remains
same but interest is compounding one. (not simple)
 Find future cashflow when interest rate 8% and there are 8 years,amount-
10000
Answer: F.V=P.V*(1+R/100)n
=10000(1+8/100)8
=10000(1+0.08)8
=10000(1.08)8
=10000(1.8509)
=18509
Calculate following:
 Find future cashflow of 8 years at Compound interest of 9% (amount 10000)
 Find future cashflow of 5 years at Compound interest of 12% (amount 15000)
Sums
 Future Cashflow of Uneven Cashflow
 Here , There will be different cashflow each year however interest rate remains same and
interest Compounds every year.
 Here, Important assumption is that deposit is at end of the year
 Find future cashflow if following are cashflows for four years-Interest rate 10%
1st year 1500, 2nd year 2000,3rd year 2500, 4th year 3000
Answer: F.V=A1 (1+r)n-1 +A2(1+r)n-2+A3(1+r)n-3+A4(1+r)n-4
=1500(1+10%)4-1+2000(1+10%)4-2+2500(1+10%)4-3+3000(1+10%)4-4
=1500(1.10)3+2000(1.10)2+2500(1.10)1+3000
=1500(1.331)+2000(1.21)+2500(1.10)+3000
=1996.50+2420+2750+3000
= 10166.50
Calculate following:
 Find future cashflow if 1st year 3000, 2nd year 2500, 3rd year 2000, 4th year 1500, interest rate
11%
Sums
 Future cashflow of equal cashflow
 Here , There will be equal cashflow each year however interest rate remains
same & interest is compounding one.
 Find future cashflow if cashflow is rs 5000 for four years-Interest rate 10%
Answer: F.V=A[(1+r)n-1/ r]
=5000 [(1+0.10)4 -1/0.10]
=5000 [ (1.10)4-1/0.10]
=5000 [ 1.4641-1/0.10]
=5000 [ 0.4641/0.10]
=5000 [4.641]
=23205
So interest =23205-20000 =3205
Calculate following:
 Find future cashflow of 4 years if there is sip of 5000 rs each year. Interest
rate 8%
 Find future cashflow of 5 years if there is SIP of 2000 rs each year. Interest
rate 10%
Sums
 Growing Annuity Question
 Cashflow remains same but increases every year
 Here , One need to consider a certain % of salary and then substract rate
of return from growth of salary to reach at future value
 Find future cashflow if Annual Salary-10 lakh, Investment at 10%,
increases by 7% each year and investment is for 12 years. Rate of return-
10%
Answer: F.V=A*(1+i)n-(1+g)n/I-G
= 100000*(1+0.10)12-(1+0.07)12/0.10-0.07
=100000*(1.12)12-(1.07)12/0.03
=100000*(3.8959-2.2037)/0.03
=100000*(56.4066)
=5640660
 Calculate following:
 Find future cashflow of 10 years if there is investment of 20% of yearly salary
of 600000 which increases at rate of 9% each year Rate of return is 11%.
Sums
 Future Value of Multiple flows
 Find Future Cashflow if Cashflows is at end of each year for 3 years, cash
flows are different, interest rate 7% compounded annually.
 First year cashflow 1000, Second year 2000, Third year 3000.
 Answer:1000*FVF(7,2)+2000*FVF(7,1)+3000*FVF(7,0)
=1000*1.112+2000*1.064+3000
=1112+2128+3000
=6240
 Calculate following:
 Find future cashflow if Cashflows is at end of each year for 3 years, cash flows
are different, interest rate 7% compounded annually.
 First year 3000, Second year 2000, Third year 1000
Discounted Cashflow
 Four types in this:
1. Single Cashflow
2. Uneven Cashflow
3. Equal Cashflow
4. Perpetuity
 Single Cashflow
Sum: If a person receives 3000 rs after 8 years and Discount rate is 10%,Find PV
Answer: PV=FV(1/1+r)n
= 3000(1/1+0.10)8
=3000 (1/1.08)8
=3000 (0.4665)=1399.50

More Related Content

Similar to Finance_Management_Time_ValueOfMoney.pptx

Time value of money approaches in the financial management
Time value of money approaches in the financial managementTime value of money approaches in the financial management
Time value of money approaches in the financial managementHabibullah Qayumi
 
Time Value of Money I.pdf
Time Value of Money I.pdfTime Value of Money I.pdf
Time Value of Money I.pdfswati23502
 
financial management notes 33
financial management notes 33financial management notes 33
financial management notes 33Babasab Patil
 
Chapter_3_Time_Value_of_Money.pdf
Chapter_3_Time_Value_of_Money.pdfChapter_3_Time_Value_of_Money.pdf
Chapter_3_Time_Value_of_Money.pdfSudipBalLama
 
Time Value Of Money
Time Value Of MoneyTime Value Of Money
Time Value Of MoneyArchana
 
Iii A Time Value Of Money
Iii  A Time Value Of MoneyIii  A Time Value Of Money
Iii A Time Value Of Moneyrajeevgupta
 
ACCA F9 Investment appraisal-Discounted Cash Flow Techniques
ACCA F9 Investment appraisal-Discounted Cash Flow TechniquesACCA F9 Investment appraisal-Discounted Cash Flow Techniques
ACCA F9 Investment appraisal-Discounted Cash Flow TechniquesSaraf Academy
 
Time value of money.pptx
Time value of money.pptxTime value of money.pptx
Time value of money.pptxNeha234608
 
Time Value of Money
Time Value of MoneyTime Value of Money
Time Value of MoneySaeed Akbar
 
GSB711-Lecture-Note-03-The-Time-Value-of-Money
GSB711-Lecture-Note-03-The-Time-Value-of-MoneyGSB711-Lecture-Note-03-The-Time-Value-of-Money
GSB711-Lecture-Note-03-The-Time-Value-of-MoneyUniversity of New England
 
Time value of money unit 2
Time value of money   unit 2Time value of money   unit 2
Time value of money unit 2Ashish Gupta
 
Basics of financial management & time value of money
Basics of financial management & time value of moneyBasics of financial management & time value of money
Basics of financial management & time value of moneyYagna Vyas
 

Similar to Finance_Management_Time_ValueOfMoney.pptx (20)

Time value of money approaches in the financial management
Time value of money approaches in the financial managementTime value of money approaches in the financial management
Time value of money approaches in the financial management
 
Time Value of Money I.pdf
Time Value of Money I.pdfTime Value of Money I.pdf
Time Value of Money I.pdf
 
financial management notes 33
financial management notes 33financial management notes 33
financial management notes 33
 
Chapter_3_Time_Value_of_Money.pdf
Chapter_3_Time_Value_of_Money.pdfChapter_3_Time_Value_of_Money.pdf
Chapter_3_Time_Value_of_Money.pdf
 
Chap005
Chap005Chap005
Chap005
 
Time Value Of Money
Time Value Of MoneyTime Value Of Money
Time Value Of Money
 
Iii A Time Value Of Money
Iii  A Time Value Of MoneyIii  A Time Value Of Money
Iii A Time Value Of Money
 
Compoundinterestle
CompoundinterestleCompoundinterestle
Compoundinterestle
 
Ross7e ch04
Ross7e ch04Ross7e ch04
Ross7e ch04
 
ACCA F9 Investment appraisal-Discounted Cash Flow Techniques
ACCA F9 Investment appraisal-Discounted Cash Flow TechniquesACCA F9 Investment appraisal-Discounted Cash Flow Techniques
ACCA F9 Investment appraisal-Discounted Cash Flow Techniques
 
Time volue of money
Time volue of moneyTime volue of money
Time volue of money
 
Chapter 4
Chapter 4Chapter 4
Chapter 4
 
Discounted cash flow valuation
Discounted cash flow valuationDiscounted cash flow valuation
Discounted cash flow valuation
 
Time value of money.pptx
Time value of money.pptxTime value of money.pptx
Time value of money.pptx
 
Time Value of Money
Time Value of MoneyTime Value of Money
Time Value of Money
 
GSB711-Lecture-Note-03-The-Time-Value-of-Money
GSB711-Lecture-Note-03-The-Time-Value-of-MoneyGSB711-Lecture-Note-03-The-Time-Value-of-Money
GSB711-Lecture-Note-03-The-Time-Value-of-Money
 
FM_Chapter6.pdf
FM_Chapter6.pdfFM_Chapter6.pdf
FM_Chapter6.pdf
 
Time value of money unit 2
Time value of money   unit 2Time value of money   unit 2
Time value of money unit 2
 
Basics of financial management & time value of money
Basics of financial management & time value of moneyBasics of financial management & time value of money
Basics of financial management & time value of money
 
02 time-value-of-money
02 time-value-of-money02 time-value-of-money
02 time-value-of-money
 

Recently uploaded

High Class Call Girls Nashik Maya 7001305949 Independent Escort Service Nashik
High Class Call Girls Nashik Maya 7001305949 Independent Escort Service NashikHigh Class Call Girls Nashik Maya 7001305949 Independent Escort Service Nashik
High Class Call Girls Nashik Maya 7001305949 Independent Escort Service NashikCall Girls in Nagpur High Profile
 
The Economic History of the U.S. Lecture 20.pdf
The Economic History of the U.S. Lecture 20.pdfThe Economic History of the U.S. Lecture 20.pdf
The Economic History of the U.S. Lecture 20.pdfGale Pooley
 
(DIYA) Bhumkar Chowk Call Girls Just Call 7001035870 [ Cash on Delivery ] Pun...
(DIYA) Bhumkar Chowk Call Girls Just Call 7001035870 [ Cash on Delivery ] Pun...(DIYA) Bhumkar Chowk Call Girls Just Call 7001035870 [ Cash on Delivery ] Pun...
(DIYA) Bhumkar Chowk Call Girls Just Call 7001035870 [ Cash on Delivery ] Pun...ranjana rawat
 
The Economic History of the U.S. Lecture 25.pdf
The Economic History of the U.S. Lecture 25.pdfThe Economic History of the U.S. Lecture 25.pdf
The Economic History of the U.S. Lecture 25.pdfGale Pooley
 
High Class Call Girls Nagpur Grishma Call 7001035870 Meet With Nagpur Escorts
High Class Call Girls Nagpur Grishma Call 7001035870 Meet With Nagpur EscortsHigh Class Call Girls Nagpur Grishma Call 7001035870 Meet With Nagpur Escorts
High Class Call Girls Nagpur Grishma Call 7001035870 Meet With Nagpur Escortsranjana rawat
 
TEST BANK For Corporate Finance, 13th Edition By Stephen Ross, Randolph Weste...
TEST BANK For Corporate Finance, 13th Edition By Stephen Ross, Randolph Weste...TEST BANK For Corporate Finance, 13th Edition By Stephen Ross, Randolph Weste...
TEST BANK For Corporate Finance, 13th Edition By Stephen Ross, Randolph Weste...ssifa0344
 
Stock Market Brief Deck (Under Pressure).pdf
Stock Market Brief Deck (Under Pressure).pdfStock Market Brief Deck (Under Pressure).pdf
Stock Market Brief Deck (Under Pressure).pdfMichael Silva
 
Log your LOA pain with Pension Lab's brilliant campaign
Log your LOA pain with Pension Lab's brilliant campaignLog your LOA pain with Pension Lab's brilliant campaign
Log your LOA pain with Pension Lab's brilliant campaignHenry Tapper
 
02_Fabio Colombo_Accenture_MeetupDora&Cybersecurity.pptx
02_Fabio Colombo_Accenture_MeetupDora&Cybersecurity.pptx02_Fabio Colombo_Accenture_MeetupDora&Cybersecurity.pptx
02_Fabio Colombo_Accenture_MeetupDora&Cybersecurity.pptxFinTech Belgium
 
Gurley shaw Theory of Monetary Economics.
Gurley shaw Theory of Monetary Economics.Gurley shaw Theory of Monetary Economics.
Gurley shaw Theory of Monetary Economics.Vinodha Devi
 
20240429 Calibre April 2024 Investor Presentation.pdf
20240429 Calibre April 2024 Investor Presentation.pdf20240429 Calibre April 2024 Investor Presentation.pdf
20240429 Calibre April 2024 Investor Presentation.pdfAdnet Communications
 
05_Annelore Lenoir_Docbyte_MeetupDora&Cybersecurity.pptx
05_Annelore Lenoir_Docbyte_MeetupDora&Cybersecurity.pptx05_Annelore Lenoir_Docbyte_MeetupDora&Cybersecurity.pptx
05_Annelore Lenoir_Docbyte_MeetupDora&Cybersecurity.pptxFinTech Belgium
 
CALL ON ➥8923113531 🔝Call Girls Gomti Nagar Lucknow best sexual service
CALL ON ➥8923113531 🔝Call Girls Gomti Nagar Lucknow best sexual serviceCALL ON ➥8923113531 🔝Call Girls Gomti Nagar Lucknow best sexual service
CALL ON ➥8923113531 🔝Call Girls Gomti Nagar Lucknow best sexual serviceanilsa9823
 
Basic concepts related to Financial modelling
Basic concepts related to Financial modellingBasic concepts related to Financial modelling
Basic concepts related to Financial modellingbaijup5
 
Top Rated Pune Call Girls Viman Nagar ⟟ 6297143586 ⟟ Call Me For Genuine Sex...
Top Rated  Pune Call Girls Viman Nagar ⟟ 6297143586 ⟟ Call Me For Genuine Sex...Top Rated  Pune Call Girls Viman Nagar ⟟ 6297143586 ⟟ Call Me For Genuine Sex...
Top Rated Pune Call Girls Viman Nagar ⟟ 6297143586 ⟟ Call Me For Genuine Sex...Call Girls in Nagpur High Profile
 

Recently uploaded (20)

High Class Call Girls Nashik Maya 7001305949 Independent Escort Service Nashik
High Class Call Girls Nashik Maya 7001305949 Independent Escort Service NashikHigh Class Call Girls Nashik Maya 7001305949 Independent Escort Service Nashik
High Class Call Girls Nashik Maya 7001305949 Independent Escort Service Nashik
 
The Economic History of the U.S. Lecture 20.pdf
The Economic History of the U.S. Lecture 20.pdfThe Economic History of the U.S. Lecture 20.pdf
The Economic History of the U.S. Lecture 20.pdf
 
(DIYA) Bhumkar Chowk Call Girls Just Call 7001035870 [ Cash on Delivery ] Pun...
(DIYA) Bhumkar Chowk Call Girls Just Call 7001035870 [ Cash on Delivery ] Pun...(DIYA) Bhumkar Chowk Call Girls Just Call 7001035870 [ Cash on Delivery ] Pun...
(DIYA) Bhumkar Chowk Call Girls Just Call 7001035870 [ Cash on Delivery ] Pun...
 
The Economic History of the U.S. Lecture 25.pdf
The Economic History of the U.S. Lecture 25.pdfThe Economic History of the U.S. Lecture 25.pdf
The Economic History of the U.S. Lecture 25.pdf
 
High Class Call Girls Nagpur Grishma Call 7001035870 Meet With Nagpur Escorts
High Class Call Girls Nagpur Grishma Call 7001035870 Meet With Nagpur EscortsHigh Class Call Girls Nagpur Grishma Call 7001035870 Meet With Nagpur Escorts
High Class Call Girls Nagpur Grishma Call 7001035870 Meet With Nagpur Escorts
 
TEST BANK For Corporate Finance, 13th Edition By Stephen Ross, Randolph Weste...
TEST BANK For Corporate Finance, 13th Edition By Stephen Ross, Randolph Weste...TEST BANK For Corporate Finance, 13th Edition By Stephen Ross, Randolph Weste...
TEST BANK For Corporate Finance, 13th Edition By Stephen Ross, Randolph Weste...
 
Stock Market Brief Deck (Under Pressure).pdf
Stock Market Brief Deck (Under Pressure).pdfStock Market Brief Deck (Under Pressure).pdf
Stock Market Brief Deck (Under Pressure).pdf
 
Veritas Interim Report 1 January–31 March 2024
Veritas Interim Report 1 January–31 March 2024Veritas Interim Report 1 January–31 March 2024
Veritas Interim Report 1 January–31 March 2024
 
Log your LOA pain with Pension Lab's brilliant campaign
Log your LOA pain with Pension Lab's brilliant campaignLog your LOA pain with Pension Lab's brilliant campaign
Log your LOA pain with Pension Lab's brilliant campaign
 
(Vedika) Low Rate Call Girls in Pune Call Now 8250077686 Pune Escorts 24x7
(Vedika) Low Rate Call Girls in Pune Call Now 8250077686 Pune Escorts 24x7(Vedika) Low Rate Call Girls in Pune Call Now 8250077686 Pune Escorts 24x7
(Vedika) Low Rate Call Girls in Pune Call Now 8250077686 Pune Escorts 24x7
 
02_Fabio Colombo_Accenture_MeetupDora&Cybersecurity.pptx
02_Fabio Colombo_Accenture_MeetupDora&Cybersecurity.pptx02_Fabio Colombo_Accenture_MeetupDora&Cybersecurity.pptx
02_Fabio Colombo_Accenture_MeetupDora&Cybersecurity.pptx
 
Gurley shaw Theory of Monetary Economics.
Gurley shaw Theory of Monetary Economics.Gurley shaw Theory of Monetary Economics.
Gurley shaw Theory of Monetary Economics.
 
20240429 Calibre April 2024 Investor Presentation.pdf
20240429 Calibre April 2024 Investor Presentation.pdf20240429 Calibre April 2024 Investor Presentation.pdf
20240429 Calibre April 2024 Investor Presentation.pdf
 
05_Annelore Lenoir_Docbyte_MeetupDora&Cybersecurity.pptx
05_Annelore Lenoir_Docbyte_MeetupDora&Cybersecurity.pptx05_Annelore Lenoir_Docbyte_MeetupDora&Cybersecurity.pptx
05_Annelore Lenoir_Docbyte_MeetupDora&Cybersecurity.pptx
 
VIP Call Girl in Mira Road 💧 9920725232 ( Call Me ) Get A New Crush Everyday ...
VIP Call Girl in Mira Road 💧 9920725232 ( Call Me ) Get A New Crush Everyday ...VIP Call Girl in Mira Road 💧 9920725232 ( Call Me ) Get A New Crush Everyday ...
VIP Call Girl in Mira Road 💧 9920725232 ( Call Me ) Get A New Crush Everyday ...
 
VIP Call Girl Service Andheri West ⚡ 9920725232 What It Takes To Be The Best ...
VIP Call Girl Service Andheri West ⚡ 9920725232 What It Takes To Be The Best ...VIP Call Girl Service Andheri West ⚡ 9920725232 What It Takes To Be The Best ...
VIP Call Girl Service Andheri West ⚡ 9920725232 What It Takes To Be The Best ...
 
VIP Independent Call Girls in Bandra West 🌹 9920725232 ( Call Me ) Mumbai Esc...
VIP Independent Call Girls in Bandra West 🌹 9920725232 ( Call Me ) Mumbai Esc...VIP Independent Call Girls in Bandra West 🌹 9920725232 ( Call Me ) Mumbai Esc...
VIP Independent Call Girls in Bandra West 🌹 9920725232 ( Call Me ) Mumbai Esc...
 
CALL ON ➥8923113531 🔝Call Girls Gomti Nagar Lucknow best sexual service
CALL ON ➥8923113531 🔝Call Girls Gomti Nagar Lucknow best sexual serviceCALL ON ➥8923113531 🔝Call Girls Gomti Nagar Lucknow best sexual service
CALL ON ➥8923113531 🔝Call Girls Gomti Nagar Lucknow best sexual service
 
Basic concepts related to Financial modelling
Basic concepts related to Financial modellingBasic concepts related to Financial modelling
Basic concepts related to Financial modelling
 
Top Rated Pune Call Girls Viman Nagar ⟟ 6297143586 ⟟ Call Me For Genuine Sex...
Top Rated  Pune Call Girls Viman Nagar ⟟ 6297143586 ⟟ Call Me For Genuine Sex...Top Rated  Pune Call Girls Viman Nagar ⟟ 6297143586 ⟟ Call Me For Genuine Sex...
Top Rated Pune Call Girls Viman Nagar ⟟ 6297143586 ⟟ Call Me For Genuine Sex...
 

Finance_Management_Time_ValueOfMoney.pptx

  • 1. Financial Management Notes from Regular Lectures-Chapter 1 & 2 (From Akash Sir Lectures)
  • 2. Chapter 1-Introduction to Financial Management  Why Finance?-News discussion from the day  What is Finance? Different Instances when Financial Management harmed or uplifted a company  What works at Individual level usually goes good at higher level, Discussion on Personal Finance against Corporate Finance  Different Approaches-Traditional and Modern Approach  Objective of Financial Management-Profit Maximisation/Wealth Maximisation  Significance of Financial Management , Roles and Responsibilities of Manager  Task given-1 Collect SIP Related Brochure possible from nearby and understand it 2 Read ET/any other standard business newspaper
  • 3. Chapter 2- Time value of Money  Newspaper and Current related Discussion  Task 1 completed or not?  Discussion on usual reaction of time and money correlation  How SIPs give a growth and how can they be used for making a certain goal completed in future? Example discuss  Two methods-Future Cashflow & Discounted Cashflow model  Four types under Future Cashflow-  Single Cashflow  Uneven Cashflow  Equal Cashflow  Multiple Cashflow
  • 4. Sums  Future Cashflow of Single Cashflow  Find Future Cashflow of 5 years at Simple interest of 12% (amount 10000) Answer: FV=PV(1+N*r) =10000(1+5*12/100) =10000(1+5*0.12) =10000(1+0.60) =10000(1.60)=16000 Calculate following:  Find future cashflow of 10 years at Simple interest of 10% ( amount 5000)  Find future cashflow of 5 years at Simple interest of 12% ( amount 15000)
  • 5. Sums  Future Cashflow of Single Cashflow  Here , There will be Single cashflow each year however interest rate remains same but interest is compounding one. (not simple)  Find future cashflow when interest rate 8% and there are 8 years,amount- 10000 Answer: F.V=P.V*(1+R/100)n =10000(1+8/100)8 =10000(1+0.08)8 =10000(1.08)8 =10000(1.8509) =18509 Calculate following:  Find future cashflow of 8 years at Compound interest of 9% (amount 10000)  Find future cashflow of 5 years at Compound interest of 12% (amount 15000)
  • 6. Sums  Future Cashflow of Uneven Cashflow  Here , There will be different cashflow each year however interest rate remains same and interest Compounds every year.  Here, Important assumption is that deposit is at end of the year  Find future cashflow if following are cashflows for four years-Interest rate 10% 1st year 1500, 2nd year 2000,3rd year 2500, 4th year 3000 Answer: F.V=A1 (1+r)n-1 +A2(1+r)n-2+A3(1+r)n-3+A4(1+r)n-4 =1500(1+10%)4-1+2000(1+10%)4-2+2500(1+10%)4-3+3000(1+10%)4-4 =1500(1.10)3+2000(1.10)2+2500(1.10)1+3000 =1500(1.331)+2000(1.21)+2500(1.10)+3000 =1996.50+2420+2750+3000 = 10166.50 Calculate following:  Find future cashflow if 1st year 3000, 2nd year 2500, 3rd year 2000, 4th year 1500, interest rate 11%
  • 7. Sums  Future cashflow of equal cashflow  Here , There will be equal cashflow each year however interest rate remains same & interest is compounding one.  Find future cashflow if cashflow is rs 5000 for four years-Interest rate 10% Answer: F.V=A[(1+r)n-1/ r] =5000 [(1+0.10)4 -1/0.10] =5000 [ (1.10)4-1/0.10] =5000 [ 1.4641-1/0.10] =5000 [ 0.4641/0.10] =5000 [4.641] =23205 So interest =23205-20000 =3205 Calculate following:  Find future cashflow of 4 years if there is sip of 5000 rs each year. Interest rate 8%  Find future cashflow of 5 years if there is SIP of 2000 rs each year. Interest rate 10%
  • 8. Sums  Growing Annuity Question  Cashflow remains same but increases every year  Here , One need to consider a certain % of salary and then substract rate of return from growth of salary to reach at future value  Find future cashflow if Annual Salary-10 lakh, Investment at 10%, increases by 7% each year and investment is for 12 years. Rate of return- 10% Answer: F.V=A*(1+i)n-(1+g)n/I-G = 100000*(1+0.10)12-(1+0.07)12/0.10-0.07 =100000*(1.12)12-(1.07)12/0.03 =100000*(3.8959-2.2037)/0.03 =100000*(56.4066) =5640660  Calculate following:  Find future cashflow of 10 years if there is investment of 20% of yearly salary of 600000 which increases at rate of 9% each year Rate of return is 11%.
  • 9. Sums  Future Value of Multiple flows  Find Future Cashflow if Cashflows is at end of each year for 3 years, cash flows are different, interest rate 7% compounded annually.  First year cashflow 1000, Second year 2000, Third year 3000.  Answer:1000*FVF(7,2)+2000*FVF(7,1)+3000*FVF(7,0) =1000*1.112+2000*1.064+3000 =1112+2128+3000 =6240  Calculate following:  Find future cashflow if Cashflows is at end of each year for 3 years, cash flows are different, interest rate 7% compounded annually.  First year 3000, Second year 2000, Third year 1000
  • 10. Discounted Cashflow  Four types in this: 1. Single Cashflow 2. Uneven Cashflow 3. Equal Cashflow 4. Perpetuity  Single Cashflow Sum: If a person receives 3000 rs after 8 years and Discount rate is 10%,Find PV Answer: PV=FV(1/1+r)n = 3000(1/1+0.10)8 =3000 (1/1.08)8 =3000 (0.4665)=1399.50