1) The time value of money concept refers to the difference between the present and future values of a cash flow due to interest. Interest earned allows $100 today to be worth $110 in one year at a 10% interest rate.
2) Formulas are provided to calculate the future and present values of single amounts and annuities. An annuity is a series of constant cash flows over periods of time.
3) Examples demonstrate calculating future and present values for ordinary annuities and annuities due using formulas and tables.
http://www.fdivoicebusiness.com877-257-6390
This is a presentation of the FDI business opportunity. For more info visit Facebook and search for FDI - A Better Way
http://www.fdivoicebusiness.com877-257-6390
This is a presentation of the FDI business opportunity. For more info visit Facebook and search for FDI - A Better Way
CFA LEVEL 1- Time Value of Money_compressed (1).pdfAlison Tutors
This document focuses on End of Chapter questions and commonly asked questions under Quantitative methods (Time Value of Money ) . The mainly asked questions include :
-calculation and interpretation of Future Value and Present Value of a single sum of money , an ordinary annuity, annuity due, a perpetuity (PV only) and a series of unequal cash flows.
-demonstration of the use of timelines in modeling and solving time value of money
This is a very interesting topic!
CHAPTER 9Time Value of MoneyFuture valuePresent valueAnn.docxtiffanyd4
CHAPTER 9
Time Value of Money
Future value
Present value
Annuities
Rates of return
Amortization
9-‹#›
1
Time lines
Show the timing of cash flows.
Tick marks occur at the end of periods, so Time 0 is today; Time 1 is the end of the first period (year, month, etc.) or the beginning of the second period.
CF0
CF1
CF3
CF2
0
1
2
3
I%
9-‹#›
2
Drawing time lines
100
100
100
0
1
2
3
I%
3 year $100 ordinary annuity
100
0
1
2
I%
$100 lump sum due in 2 years
9-‹#›
3
Future Value of Money
If you deposit $1,000 today at 10%, how much will you have after 15 years?
Interest($) = Principal ∙ Interest Rate(%)
Simple Interest
The original principal stays the same.
There is no interest on interest. The interest is only on the original principal.
Compound Interest
The principal changes through time.
There is “interest on interest”. The interest is on the new principal.
9-‹#›
9-‹#›
9-‹#›
Simple Interest
Interest($) = Principal($) ∙ Interest Rate(%) = V0 ∙ I
V1 = V0 + Interest = V0 + V0 ∙ I = V0(1 + I)
V2 = V1 + Interest = V1 + V0 ∙ I = V0(1 + I) + V0 ∙ I
= V0(1 + I + I) = V0(1 + 2I)
V3 = V2 + Interest = V2 + V0 ∙ I = V0(1 + 2I) + V0 ∙ I
= V0(1 + 2I + I) = V0(1 + 3I)
.
.
Vn = V0(1 + nI)
FVn = PV(1 + nI)
9-‹#›
Compound Interest
Interest ($) = Principal ($) ∙ Interest Rate (%) = V ∙ I
V1 = V0 + Interest = V0 + V0 ∙ I = V0(1 + I)
V2 = V1 + Interest = V1 + V1 ∙ I = V1(1 + I)
V3 = V2 + Interest = V2 + V2 ∙ I = V2(1 + I)
V2 = V1(1 + I) = V0(1 + I)(1 + I) = V0(1 + I)2
V3 = V2(1 + I) = V0(1 + I)2(1 + I) = V0(1 + I)3
Vn = V0 (1 + I)n
FVn = PV(1 + I)n = PV∙FVIF
V2 = V1 + Interest = V1 + (V0 + Interest) ∙ I
9-‹#›
Example
What is the future value of $20 invested for 2 years at 10%?
Simple: FV = PV(1+nI)
= 20(1+2I) = 20(1+0.2) = $24
Compound: FV = PV(1+I)n
= 20(1+I)2 = 20(1+0.1)2 = $24.2
What is the future value of $20 invested for 100 years at 10%?
Simple: FV = 20(1+ ) =
Compound : FV = 20(1.1)100 = 275,612.25
9-‹#›
The Power of Compounding
The Value of Manhattan
In 1626, the land was bought from American Indians at $24.
In 2018, value = $24(1+I)392
9-‹#›
Solving for FV:
The formula method
Solve the general FV equation:
FVN = PV∙(1 + I)N = PV ∙ FVIF
FV15 = PV∙(1 + I)15 = $1,000∙(1.10)15 = $4,177.25
= $1,000∙4.177 = $4,177
(Table A)
9-‹#›
Present Value of Money
If you want to have $4,177.25 after 15 years, how much do you have to deposit today at 10%?
9-‹#›
PV = ?
4,177.25
Present Value of Money
Finding the PV of a cash flow or series of cash flows is called discounting (the reverse of compounding).
0
1
2 …
15
10%
9-‹#›
13
Solving for PV:
The formula method
Solve the general FV equat.
Understanding the Time Value of MoneyCongratulations!!! You have.docxouldparis
Understanding the Time Value of Money
Congratulations!!! You have won a cash prize! You have two payment options: A: Receive $10,000 now or B: Receive $10,000 in three years. Which option would you choose?
What Is the Time Value of Money?
If you're like most people, you would choose to receive the $10,000 now. After all, three years is a long time to wait. Why would any rational person defer payment into the future when he or she could have the same amount of money now? For most of us, taking the money in the present is just plain instinctive. So at the most basic level, the time value of money demonstrates that all things being equal, it seems better to have money now rather than later.
But why is this? A $100 bill has the same value as a $100 bill one year from now, doesn't it? Actually, although the bill is the same, you can do much more with the money if you have it now because over time you can earn more interest on your money.
Back to our example: By receiving $10,000 today, you are poised to increase the future value of your money by investing and gaining interest over a period of time. For Option B, you don't have time on your side, and the payment received in three years would be your future value. To illustrate, we have provided a timeline:
If you are choosing Option A, your future value will be $10,000 plus any interest acquired over the three years. The future value for Option B, on the other hand, would only be $10,000. So how can you calculate exactly how much more Option A is worth, compared to Option B? Let's take a look.
Future Value Basics
If you choose Option A and invest the total amount at a simple annual rate of 4.5%, the future value of your investment at the end of the first year is $10,450. We arrive at this sum by multiplying the principal amount of $10,000 by the interest rate of 4.5% and then adding the interest gained to the principal amount:
$10,000×0.045=$450\begin{aligned} &\$10,000 \times 0.045 = \$450 \\ \end{aligned}$10,000×0.045=$450
$450+$10,000=$10,450\begin{aligned} &\$450 + \$10,000 = \$10,450 \\ \end{aligned}$450+$10,000=$10,450
You can also calculate the total amount of a one-year investment with a simple manipulation of the above equation:
OE=($10,000×0.045)+$10,000=$10,450where:OE=Original equation\begin{aligned} &\text{OE} = ( \$10,000 \times 0.045 ) + \$10,000 = \$10,450 \\ &\textbf{where:} \\ &\text{OE} = \text{Original equation} \\ \end{aligned}OE=($10,000×0.045)+$10,000=$10,450where:OE=Original equation
Manipulation=$10,000×[(1×0.045)+1]=$10,450\begin{aligned} &\text{Manipulation} = \$10,000 \times [ ( 1 \times 0.045 ) + 1 ] = \$10,450 \\ \end{aligned}Manipulation=$10,000×[(1×0.045)+1]=$10,450
Final Equation=$10,000×(0.045+1)=$10,450\begin{aligned} &\text{Final Equation} = \$10,000 \times ( 0.045 + 1 ) = \$10,450 \\ \end{aligned}Final Equation=$10,000×(0.045+1)=$10,450
The manipulated equation above is simply a removal of the like-variable $10,000 (the principal amount) by divi ...
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
when will pi network coin be available on crypto exchange.DOT TECH
There is no set date for when Pi coins will enter the market.
However, the developers are working hard to get them released as soon as possible.
Once they are available, users will be able to exchange other cryptocurrencies for Pi coins on designated exchanges.
But for now the only way to sell your pi coins is through verified pi vendor.
Here is the telegram contact of my personal pi vendor
@Pi_vendor_247
CFA LEVEL 1- Time Value of Money_compressed (1).pdfAlison Tutors
This document focuses on End of Chapter questions and commonly asked questions under Quantitative methods (Time Value of Money ) . The mainly asked questions include :
-calculation and interpretation of Future Value and Present Value of a single sum of money , an ordinary annuity, annuity due, a perpetuity (PV only) and a series of unequal cash flows.
-demonstration of the use of timelines in modeling and solving time value of money
This is a very interesting topic!
CHAPTER 9Time Value of MoneyFuture valuePresent valueAnn.docxtiffanyd4
CHAPTER 9
Time Value of Money
Future value
Present value
Annuities
Rates of return
Amortization
9-‹#›
1
Time lines
Show the timing of cash flows.
Tick marks occur at the end of periods, so Time 0 is today; Time 1 is the end of the first period (year, month, etc.) or the beginning of the second period.
CF0
CF1
CF3
CF2
0
1
2
3
I%
9-‹#›
2
Drawing time lines
100
100
100
0
1
2
3
I%
3 year $100 ordinary annuity
100
0
1
2
I%
$100 lump sum due in 2 years
9-‹#›
3
Future Value of Money
If you deposit $1,000 today at 10%, how much will you have after 15 years?
Interest($) = Principal ∙ Interest Rate(%)
Simple Interest
The original principal stays the same.
There is no interest on interest. The interest is only on the original principal.
Compound Interest
The principal changes through time.
There is “interest on interest”. The interest is on the new principal.
9-‹#›
9-‹#›
9-‹#›
Simple Interest
Interest($) = Principal($) ∙ Interest Rate(%) = V0 ∙ I
V1 = V0 + Interest = V0 + V0 ∙ I = V0(1 + I)
V2 = V1 + Interest = V1 + V0 ∙ I = V0(1 + I) + V0 ∙ I
= V0(1 + I + I) = V0(1 + 2I)
V3 = V2 + Interest = V2 + V0 ∙ I = V0(1 + 2I) + V0 ∙ I
= V0(1 + 2I + I) = V0(1 + 3I)
.
.
Vn = V0(1 + nI)
FVn = PV(1 + nI)
9-‹#›
Compound Interest
Interest ($) = Principal ($) ∙ Interest Rate (%) = V ∙ I
V1 = V0 + Interest = V0 + V0 ∙ I = V0(1 + I)
V2 = V1 + Interest = V1 + V1 ∙ I = V1(1 + I)
V3 = V2 + Interest = V2 + V2 ∙ I = V2(1 + I)
V2 = V1(1 + I) = V0(1 + I)(1 + I) = V0(1 + I)2
V3 = V2(1 + I) = V0(1 + I)2(1 + I) = V0(1 + I)3
Vn = V0 (1 + I)n
FVn = PV(1 + I)n = PV∙FVIF
V2 = V1 + Interest = V1 + (V0 + Interest) ∙ I
9-‹#›
Example
What is the future value of $20 invested for 2 years at 10%?
Simple: FV = PV(1+nI)
= 20(1+2I) = 20(1+0.2) = $24
Compound: FV = PV(1+I)n
= 20(1+I)2 = 20(1+0.1)2 = $24.2
What is the future value of $20 invested for 100 years at 10%?
Simple: FV = 20(1+ ) =
Compound : FV = 20(1.1)100 = 275,612.25
9-‹#›
The Power of Compounding
The Value of Manhattan
In 1626, the land was bought from American Indians at $24.
In 2018, value = $24(1+I)392
9-‹#›
Solving for FV:
The formula method
Solve the general FV equation:
FVN = PV∙(1 + I)N = PV ∙ FVIF
FV15 = PV∙(1 + I)15 = $1,000∙(1.10)15 = $4,177.25
= $1,000∙4.177 = $4,177
(Table A)
9-‹#›
Present Value of Money
If you want to have $4,177.25 after 15 years, how much do you have to deposit today at 10%?
9-‹#›
PV = ?
4,177.25
Present Value of Money
Finding the PV of a cash flow or series of cash flows is called discounting (the reverse of compounding).
0
1
2 …
15
10%
9-‹#›
13
Solving for PV:
The formula method
Solve the general FV equat.
Understanding the Time Value of MoneyCongratulations!!! You have.docxouldparis
Understanding the Time Value of Money
Congratulations!!! You have won a cash prize! You have two payment options: A: Receive $10,000 now or B: Receive $10,000 in three years. Which option would you choose?
What Is the Time Value of Money?
If you're like most people, you would choose to receive the $10,000 now. After all, three years is a long time to wait. Why would any rational person defer payment into the future when he or she could have the same amount of money now? For most of us, taking the money in the present is just plain instinctive. So at the most basic level, the time value of money demonstrates that all things being equal, it seems better to have money now rather than later.
But why is this? A $100 bill has the same value as a $100 bill one year from now, doesn't it? Actually, although the bill is the same, you can do much more with the money if you have it now because over time you can earn more interest on your money.
Back to our example: By receiving $10,000 today, you are poised to increase the future value of your money by investing and gaining interest over a period of time. For Option B, you don't have time on your side, and the payment received in three years would be your future value. To illustrate, we have provided a timeline:
If you are choosing Option A, your future value will be $10,000 plus any interest acquired over the three years. The future value for Option B, on the other hand, would only be $10,000. So how can you calculate exactly how much more Option A is worth, compared to Option B? Let's take a look.
Future Value Basics
If you choose Option A and invest the total amount at a simple annual rate of 4.5%, the future value of your investment at the end of the first year is $10,450. We arrive at this sum by multiplying the principal amount of $10,000 by the interest rate of 4.5% and then adding the interest gained to the principal amount:
$10,000×0.045=$450\begin{aligned} &\$10,000 \times 0.045 = \$450 \\ \end{aligned}$10,000×0.045=$450
$450+$10,000=$10,450\begin{aligned} &\$450 + \$10,000 = \$10,450 \\ \end{aligned}$450+$10,000=$10,450
You can also calculate the total amount of a one-year investment with a simple manipulation of the above equation:
OE=($10,000×0.045)+$10,000=$10,450where:OE=Original equation\begin{aligned} &\text{OE} = ( \$10,000 \times 0.045 ) + \$10,000 = \$10,450 \\ &\textbf{where:} \\ &\text{OE} = \text{Original equation} \\ \end{aligned}OE=($10,000×0.045)+$10,000=$10,450where:OE=Original equation
Manipulation=$10,000×[(1×0.045)+1]=$10,450\begin{aligned} &\text{Manipulation} = \$10,000 \times [ ( 1 \times 0.045 ) + 1 ] = \$10,450 \\ \end{aligned}Manipulation=$10,000×[(1×0.045)+1]=$10,450
Final Equation=$10,000×(0.045+1)=$10,450\begin{aligned} &\text{Final Equation} = \$10,000 \times ( 0.045 + 1 ) = \$10,450 \\ \end{aligned}Final Equation=$10,000×(0.045+1)=$10,450
The manipulated equation above is simply a removal of the like-variable $10,000 (the principal amount) by divi ...
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
when will pi network coin be available on crypto exchange.DOT TECH
There is no set date for when Pi coins will enter the market.
However, the developers are working hard to get them released as soon as possible.
Once they are available, users will be able to exchange other cryptocurrencies for Pi coins on designated exchanges.
But for now the only way to sell your pi coins is through verified pi vendor.
Here is the telegram contact of my personal pi vendor
@Pi_vendor_247
US Economic Outlook - Being Decided - M Capital Group August 2021.pdfpchutichetpong
The U.S. economy is continuing its impressive recovery from the COVID-19 pandemic and not slowing down despite re-occurring bumps. The U.S. savings rate reached its highest ever recorded level at 34% in April 2020 and Americans seem ready to spend. The sectors that had been hurt the most by the pandemic specifically reduced consumer spending, like retail, leisure, hospitality, and travel, are now experiencing massive growth in revenue and job openings.
Could this growth lead to a “Roaring Twenties”? As quickly as the U.S. economy contracted, experiencing a 9.1% drop in economic output relative to the business cycle in Q2 2020, the largest in recorded history, it has rebounded beyond expectations. This surprising growth seems to be fueled by the U.S. government’s aggressive fiscal and monetary policies, and an increase in consumer spending as mobility restrictions are lifted. Unemployment rates between June 2020 and June 2021 decreased by 5.2%, while the demand for labor is increasing, coupled with increasing wages to incentivize Americans to rejoin the labor force. Schools and businesses are expected to fully reopen soon. In parallel, vaccination rates across the country and the world continue to rise, with full vaccination rates of 50% and 14.8% respectively.
However, it is not completely smooth sailing from here. According to M Capital Group, the main risks that threaten the continued growth of the U.S. economy are inflation, unsettled trade relations, and another wave of Covid-19 mutations that could shut down the world again. Have we learned from the past year of COVID-19 and adapted our economy accordingly?
“In order for the U.S. economy to continue growing, whether there is another wave or not, the U.S. needs to focus on diversifying supply chains, supporting business investment, and maintaining consumer spending,” says Grace Feeley, a research analyst at M Capital Group.
While the economic indicators are positive, the risks are coming closer to manifesting and threatening such growth. The new variants spreading throughout the world, Delta, Lambda, and Gamma, are vaccine-resistant and muddy the predictions made about the economy and health of the country. These variants bring back the feeling of uncertainty that has wreaked havoc not only on the stock market but the mindset of people around the world. MCG provides unique insight on how to mitigate these risks to possibly ensure a bright economic future.
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
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 price will pi network be listed on exchangesDOT TECH
The rate at which pi will be listed is practically unknown. But due to speculations surrounding it the predicted rate is tends to be from 30$ — 50$.
So if you are interested in selling your pi network coins at a high rate tho. Or you can't wait till the mainnet launch in 2026. You can easily trade your pi coins with a merchant.
A merchant is someone who buys pi coins from miners and resell them to Investors looking forward to hold massive quantities till mainnet launch.
I will leave the telegram contact of my personal pi vendor to trade with.
@Pi_vendor_247
Falcon stands out as a top-tier P2P Invoice Discounting platform in India, bridging esteemed blue-chip companies and eager investors. Our goal is to transform the investment landscape in India by establishing a comprehensive destination for borrowers and investors with diverse profiles and needs, all while minimizing risk. What sets Falcon apart is the elimination of intermediaries such as commercial banks and depository institutions, allowing investors to enjoy higher yields.
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
how to sell pi coins on Bitmart crypto exchangeDOT TECH
Yes. Pi network coins can be exchanged but not on bitmart exchange. Because pi network is still in the enclosed mainnet. The only way pioneers are able to trade pi coins is by reselling the pi coins to pi verified merchants.
A verified merchant is someone who buys pi network coins and resell it to exchanges looking forward to hold till mainnet launch.
I will leave the telegram contact of my personal pi merchant to trade with.
@Pi_vendor_247
The secret way to sell pi coins effortlessly.DOT TECH
Well as we all know pi isn't launched yet. But you can still sell your pi coins effortlessly because some whales in China are interested in holding massive pi coins. And they are willing to pay good money for it. If you are interested in selling I will leave a contact for you. Just telegram this number below. I sold about 3000 pi coins to him and he paid me immediately.
Telegram: @Pi_vendor_247
how to sell pi coins at high rate quickly.DOT TECH
Where can I sell my pi coins at a high rate.
Pi is not launched yet on any exchange. But one can easily sell his or her pi coins to investors who want to hold pi till mainnet launch.
This means crypto whales want to hold pi. And you can get a good rate for selling pi to them. I will leave the telegram contact of my personal pi vendor below.
A vendor is someone who buys from a miner and resell it to a holder or crypto whale.
Here is the telegram contact of my vendor:
@Pi_vendor_247
Latino Buying Power - May 2024 Presentation for Latino CaucusDanay Escanaverino
Unlock the potential of Latino Buying Power with this in-depth SlideShare presentation. Explore how the Latino consumer market is transforming the American economy, driven by their significant buying power, entrepreneurial contributions, and growing influence across various sectors.
**Key Sections Covered:**
1. **Economic Impact:** Understand the profound economic impact of Latino consumers on the U.S. economy. Discover how their increasing purchasing power is fueling growth in key industries and contributing to national economic prosperity.
2. **Buying Power:** Dive into detailed analyses of Latino buying power, including its growth trends, key drivers, and projections for the future. Learn how this influential group’s spending habits are shaping market dynamics and creating opportunities for businesses.
3. **Entrepreneurial Contributions:** Explore the entrepreneurial spirit within the Latino community. Examine how Latino-owned businesses are thriving and contributing to job creation, innovation, and economic diversification.
4. **Workforce Statistics:** Gain insights into the role of Latino workers in the American labor market. Review statistics on employment rates, occupational distribution, and the economic contributions of Latino professionals across various industries.
5. **Media Consumption:** Understand the media consumption habits of Latino audiences. Discover their preferences for digital platforms, television, radio, and social media. Learn how these consumption patterns are influencing advertising strategies and media content.
6. **Education:** Examine the educational achievements and challenges within the Latino community. Review statistics on enrollment, graduation rates, and fields of study. Understand the implications of education on economic mobility and workforce readiness.
7. **Home Ownership:** Explore trends in Latino home ownership. Understand the factors driving home buying decisions, the challenges faced by Latino homeowners, and the impact of home ownership on community stability and economic growth.
This SlideShare provides valuable insights for marketers, business owners, policymakers, and anyone interested in the economic influence of the Latino community. By understanding the various facets of Latino buying power, you can effectively engage with this dynamic and growing market segment.
Equip yourself with the knowledge to leverage Latino buying power, tap into their entrepreneurial spirit, and connect with their unique cultural and consumer preferences. Drive your business success by embracing the economic potential of Latino consumers.
**Keywords:** Latino buying power, economic impact, entrepreneurial contributions, workforce statistics, media consumption, education, home ownership, Latino market, Hispanic buying power, Latino purchasing power.
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
2. Time Value of Money Concepts 2
Time Value of Money
The dollar amount cash flows difference between
the present value of an amount and its future
value. The difference is also referred to as the
interest.
Example:
The time value of $100 for one year at i = 10%.
Present value=$100
Future value=$100 x (1+10%)=$110
The time value of one year for this $100
=$110-$100=$10
3. Time Value of Money Concepts 3
A.Future Value of A Single Amount
FV= I x ( 1 + i)n
Where:FV = Future value of the invested amount;
i = Amount invested at the beginning of the
period;
n = the number of compounding periods.
Example: The future value of $10,000 invested on
1/1/x1, at the end of year 2 (i.e.;12/31/x2)
with i=10%.
$10,000 x (1+i)2
= $12,100
4. Time Value of Money Concepts 4
B.Present Value of A Single Amount
FV = I x (1 + i)n
I = FV / (1 + i)n
Where: I = Present value of a single amount.
Example: The present value of $12,100 to be
received two years from now with i =10%
$12,100 / (1+10%)2
= $10,000
5. Time Value of Money Concepts 5
C. Annuity
The cash flows of a constant amount to be
received or paid each period.
Case 1: Future value of an ordinary annuity
FVA: Annuity amount x future value annuity factor
Example:The future value of paying $10,000 every year
for the following three years at i= 10%. The first
$10,000 is to be paid one year from today (n=0).
Diagram of these payments
0
End of
Year 1
End of
Year 2
End of
Year 3
First payment
$10,000
2nd payment
$10,000
3rd payment
$10,000
6. Time Value of Money Concepts 6
C.Annuity (contd.)
Case 1 (contd.)
The future value of these payments (an ordinary
annuity) is:
Payment FV of $1,
i=10%
Future Value
(at the end of year 3) n
First Payment $10,000 x 1.12a = $12,100 2
Second
Payment
$10,000 x 1.10b
= $11,000
1
Third Payment $10,000 x 1.00 = $10,000 0
Total 3.31 = $33,100
The future value
annuity factor
The future value
7. Time Value of Money Concepts 7
C.Annuity (contd.)
Case 1 (contd.)
A short cut:
FVA = $10,000 x 3.31
the future value annuity factor
(Table 6A-3 under 10%, n=3)
a=(1+10%)2
=1.21
b=(1+10%)1
=1.10
8. Time Value of Money Concepts 8
C.Annuity (contd.)
Case 2: Future Value of An Annuity Due
Diagram of this annuity
0
End of
Year 1
End of
Year 2
End of
Year 3
2nd payment
$10,000
3rd payment
$10,000
future valueFirst
payment
$10,000
Note:
This annuity is similar to that of Case 1
except that the first payment was made at
the beginning of year 1.
9. Time Value of Money Concepts 9
C.Annuity (contd.)
Case 2: (contd.)
Future value of these payments:
Payment FV of $1,
i=10%
Future Value
(at the end of year 3) n
First Payment $10,000 x
(1+10%)3
=1.331
= $13,310
3
Second
Payment
$10,000 x
(1+10%)2
=1.21
= $12,100
2
Third Payment $10,000 x (1+10%) = $11,000 1
Total 3.641 = $36,410
A short cut: $10,000x3.641=36,410
(Table 6A-3, the factor under 10%, 4 period minus one.
or Table 6A-5, under 10%, n=3)
10. Time Value of Money Concepts 10
C.Annuity (contd.)
Case 3:Pre. Val. of An Ordinary Annuity
PVA=annuity amount x present value annuity
factor
Example: The present value of paying $10,000
every year for the following three years at
i=10%. The first $10,000 is to be paid
one year from today (n=0).
Diagram of these payments
0
End of
Year 1
End of
Year 2
End of
Year 3
First
payment
$10,000
2nd
payment
$10,000
3rd
payment
$10,000
Present
Value
?
11. Time Value of Money Concepts 11
C.Annuity (Contd.)
Case 3: (contd.)
The Present value of these payments (an ordinary
annuity) is: Payment PV of $1,
i=10%
Present Value
(at the end of year) n
First Payment $10,000 x 0.90909a = $9,091 1
Second
Payment
$10,000 x 0.82645b
= $8,264
2
Third Payment $10,000 x 0.75131 = $7,513 3
Total 2.48685 = $24,868
a=1/(1+10%)=0.90909
b=1/(1+10%)2
=0.82645
A short cut: $10,000 x 2.48685=24,868
The present value annuity factor(Table 6A-4,under 10%, n=3)
12. Time Value of Money Concepts 12
C.Annuity (contd.)
Case 4: Pre. Value of An Annuity Due
Diagram of this annuity
Note:
This annuity is similar to that of Case 3
except that the first payment was made at
the beginning of year 1.
0
End of
Year 1
End of
Year 2
End of
Year 3
First
payment
$10,000
2nd
payment
$10,000
3rd
payment
$10,000
Present Value ?
13. Time Value of Money Concepts 13
C.Annuity (contd.)
Case 4 : (contd.)
The present value of these payments:
Payment PV of $1,
i=10%
Present Value
(at the beg.of year 1) n
First Payment $10,000 x 1.000 = $10,000 0
Second
Payment
$10,000 x
0.90909
= $9,091
1
Third Payment $10,000 x 0.82645 = $8,264 2
Total 2.73554 = $27,355
A short cut: $10,000 x 2.73554=$27,355
(Table 6A-4, the factor under i=10%, n=2 plus one.
Or Table 6A-6, factor under i= 10%, n=3)