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	<updated>2026-09-29T21:37:02Z</updated>
	<subtitle>User contributions</subtitle>
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	<entry>
		<id>https://ideawaza.com/index.php?title=Gliese_581_d&amp;diff=45713</id>
		<title>Gliese 581 d</title>
		<link rel="alternate" type="text/html" href="https://ideawaza.com/index.php?title=Gliese_581_d&amp;diff=45713"/>
		<updated>2008-03-13T14:54:29Z</updated>

		<summary type="html">&lt;p&gt;24.196.77.26: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{{Planetbox begin &lt;br /&gt;
| name = Gliese 581 d&lt;br /&gt;
}}&lt;br /&gt;
{{Planetbox image&lt;br /&gt;
| image = [[Image:Gliese 581 d-v1.jpg|270px]]&lt;br /&gt;
| caption = Artistic representation of a panoramic view of &amp;lt;br&amp;gt;Gliese 581 d, showing speculative moons.&lt;br /&gt;
}}&lt;br /&gt;
{{Planetbox star &lt;br /&gt;
| star = [[Gliese 581]]&lt;br /&gt;
| constell = [[Libra (constellation)|Libra]]&lt;br /&gt;
| RA = {{RA|15|19|26}}  &lt;br /&gt;
| DEC = {{DEC|&amp;amp;minus;07|43|20}}&lt;br /&gt;
| dist_ly = 20.4&lt;br /&gt;
| dist_pc = 6.27  &lt;br /&gt;
| class = M2.5V&lt;br /&gt;
}} &lt;br /&gt;
{{Planetbox orbit &lt;br /&gt;
| period = 84.4&lt;br /&gt;
| semimajor = .25&lt;br /&gt;
| eccentricity = .2&lt;br /&gt;
| ang_dist = 39.936&lt;br /&gt;
| t_peri = 2452954.1&lt;br /&gt;
| semi-amp = 2.67&lt;br /&gt;
}}&lt;br /&gt;
{{Planetbox character&lt;br /&gt;
| mass_earth = &amp;gt;7.7&lt;br /&gt;
}} &lt;br /&gt;
{{Planetbox discovery &lt;br /&gt;
| discovery_date = [[2007-04-24]]&lt;br /&gt;
| discoverers = [[Stéphane Udry|Udry]] et al.&lt;br /&gt;
| discovery_method = Radial velocity&lt;br /&gt;
| discovery_status = unpublished&lt;br /&gt;
}} &lt;br /&gt;
{{Planetbox end}}&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Gliese 581 d&#039;&#039;&#039; ({{pronEng|ˈgliːzə}}), also known as &#039;&#039;&#039;Wolf 562 d&#039;&#039;&#039; and &#039;&#039;&#039;HIP 74995 d&#039;&#039;&#039;, is a &amp;quot;[[super-Earth]]&amp;quot; or large [[terrestrial planet| terrestrial]] [[extrasolar planet]] orbiting the [[red dwarf]] [[star]] [[Gliese 581]].&amp;lt;br /&amp;gt;&lt;br /&gt;
Gliese 581 d is near the outer edge of the habitable zone. &amp;lt;ref&amp;gt;{{cite web |url=http://arxiv.org/PS_cache/arxiv/pdf/0705/0705.3758v1.pdf  |title=The Habitability of Super-Earths in Gliese 581 |accessdate=2007-05-29 }}&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== Discovery ==&lt;br /&gt;
The planet was discovered by the team of [[Stéphane Udry]] of the Geneva Observatory in [[Switzerland]] using the [[HARPS]] instrument on the [[European Southern Observatory]] 3.6 meter telescope in [[La Silla]], [[Chile]] on [[April 24]], [[2007]]. Udry&#039;s team employed the [[radial velocity]] technique, in which the size and mass of a planet are determined based on the small perturbations it induces in its parent star’s orbit via gravity.&lt;br /&gt;
&lt;br /&gt;
The team is confident that the planet exists but recognizes that unlikely events could mimic its existence.  They believe the issue will be settled by upcoming studies.&lt;br /&gt;
&lt;br /&gt;
== Climate and habitability ==&lt;br /&gt;
Although Gliese 581 d orbits outside the theoretical [[habitable zone]] of its star, scientists surmise that conditions on the planet may be conducive to supporting life[http://www.space.com/scienceastronomy/070618_mm_gliese_581d.html]. Scientists originally believed that Gliese 581 d would in fact be too cold for liquid water to exist, and therefore could not support life as we understand it. However, due to a theorized [[greenhouse effect]], research now suggests that atmospheric conditions on the planet create temperatures at which water can exist, and therefore the planet may be capable of supporting life. However, these conditions are based on models of the planet, and have not been directly observed.&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&amp;lt;references /&amp;gt;&lt;br /&gt;
[http://obswww.unige.ch/~udry/udry_preprint.pdf Udry et al. (2007). &amp;quot;The HARPS search for southern extra-solar planets, XI. An habitable super-Earth (5 M⊕) in a 3-planet system&amp;quot;. Astronomy and Astrophysics preprint]&lt;br /&gt;
&lt;br /&gt;
== External links ==&lt;br /&gt;
*[http://vo.obspm.fr/exoplanetes/encyclo/planet.php?p1=Gl+581&amp;amp;p2=d &#039;&#039;&#039;Extrasolar Planets Encyclopaedia&#039;&#039;&#039;: Gl 581 d]&lt;br /&gt;
*[http://simbad.u-strasbg.fr/sim-id.pl?protocol=html&amp;amp;Ident=gl+581&amp;amp;NbIdent=1&amp;amp;Radius=10&amp;amp;Radius.unit=arcmin&amp;amp;CooFrame=FK5&amp;amp;CooEpoch=2000&amp;amp;CooEqui=2000&amp;amp;output.max=all&amp;amp;o.catall=on&amp;amp;output.mesdisp=N&amp;amp;Bibyear1=1983&amp;amp;Bibyear2=2005&amp;amp;Frame1=FK5&amp;amp;Frame2=FK4&amp;amp;Frame3=G&amp;amp;Equi1=200 &#039;&#039;&#039;SIMBAD&#039;&#039;&#039;:  V* HO Lib -- Variable Star]&lt;br /&gt;
&lt;br /&gt;
{{Gliese 581}}&lt;br /&gt;
&lt;br /&gt;
[[Category:Extrasolar planets]]&lt;br /&gt;
[[Category:Libra constellation]]&lt;br /&gt;
&lt;br /&gt;
[[es:Gliese 581 d]]&lt;br /&gt;
[[fr:Gliese 581 d]]&lt;br /&gt;
[[ko:글리제 581d]]&lt;br /&gt;
[[it:Gliese 581 d]]&lt;br /&gt;
[[nl:Gliese 581 d]]&lt;br /&gt;
[[pl:Gliese 581 d]]&lt;br /&gt;
[[fi:Gliese 581 d]]&lt;br /&gt;
[[sv:Gliese 581 d]]&lt;/div&gt;</summary>
		<author><name>24.196.77.26</name></author>
	</entry>
	<entry>
		<id>https://ideawaza.com/index.php?title=Archive:Business_finance&amp;diff=21124</id>
		<title>Archive:Business finance</title>
		<link rel="alternate" type="text/html" href="https://ideawaza.com/index.php?title=Archive:Business_finance&amp;diff=21124"/>
		<updated>2006-11-22T03:08:55Z</updated>

		<summary type="html">&lt;p&gt;24.196.6.224: Replacing page with &amp;#039;The Time Value of Money


Some Future Value Definitions

• Future Value (FV): The amount an
investment is worth after one or more
periods.
• Simple Interest: Interest earne...&amp;#039;&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;The Time Value of Money&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Some Future Value Definitions&lt;br /&gt;
&lt;br /&gt;
• Future Value (FV): The amount an&lt;br /&gt;
investment is worth after one or more&lt;br /&gt;
periods.&lt;br /&gt;
• Simple Interest: Interest earned only on&lt;br /&gt;
the original principal amount invested.&lt;br /&gt;
More Future Value Definitions&lt;br /&gt;
• Compound Interest: Interest earned on&lt;br /&gt;
both the initial principal and the interest&lt;br /&gt;
reinvested from prior periods.&lt;br /&gt;
• Compounding: The process of&lt;br /&gt;
accumulating interest on an investment&lt;br /&gt;
over time to earn more interest.&lt;/div&gt;</summary>
		<author><name>24.196.6.224</name></author>
	</entry>
	<entry>
		<id>https://ideawaza.com/index.php?title=Archive:Business_finance&amp;diff=21123</id>
		<title>Archive:Business finance</title>
		<link rel="alternate" type="text/html" href="https://ideawaza.com/index.php?title=Archive:Business_finance&amp;diff=21123"/>
		<updated>2006-11-22T03:08:25Z</updated>

		<summary type="html">&lt;p&gt;24.196.6.224: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;The Time Value of Money&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Some Future Value Definitions&lt;br /&gt;
&lt;br /&gt;
• Future Value (FV): The amount an&lt;br /&gt;
investment is worth after one or more&lt;br /&gt;
periods.&lt;br /&gt;
• Simple Interest: Interest earned only on&lt;br /&gt;
the original principal amount invested.&lt;br /&gt;
More Future Value Definitions&lt;br /&gt;
• Compound Interest: Interest earned on&lt;br /&gt;
both the initial principal and the interest&lt;br /&gt;
reinvested from prior periods.&lt;br /&gt;
• Compounding: The process of&lt;br /&gt;
accumulating interest on an investment&lt;br /&gt;
over time to earn more interest.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Calculating Future Value&lt;br /&gt;
• Future Value of $1:&lt;br /&gt;
FV =&lt;br /&gt;
• Future Value Factor: (1 + r)t&lt;br /&gt;
Future Value: Example #1&lt;br /&gt;
• You deposit $500 into a savings account.&lt;br /&gt;
You plan on withdrawing the money and&lt;br /&gt;
closing the account exactly two years from&lt;br /&gt;
today. Interest rates are 10%, compounded&lt;br /&gt;
annually, and will remain constant over the&lt;br /&gt;
two years.&lt;br /&gt;
Future Value: Example #1&lt;br /&gt;
• How much money will you have when you&lt;br /&gt;
close the account (Future Value)?&lt;br /&gt;
• How much simple interest did you&lt;br /&gt;
accumulate?&lt;br /&gt;
• How much compound interest did you&lt;br /&gt;
accumulate?&lt;br /&gt;
&lt;br /&gt;
The Effects of Compounding&lt;br /&gt;
• The effects/benefits of compounding:&lt;br /&gt;
– Increase with time.&lt;br /&gt;
– Increase with the frequency of compounding.&lt;br /&gt;
(more on the details of this later.)&lt;br /&gt;
Future Value: Example #2&lt;br /&gt;
• You are scheduled to receive $17,000 in&lt;br /&gt;
two years. When you receive it, you will&lt;br /&gt;
invest it for six more years at 6 percent per&lt;br /&gt;
year. How much will you have in eight&lt;br /&gt;
years?&lt;br /&gt;
Future Value: Example #3&lt;br /&gt;
• You are trying to save to buy a new&lt;br /&gt;
$60,000 Jaguar. You have $22,000 today&lt;br /&gt;
that can be invested at your bank. The&lt;br /&gt;
bank pays 4 percent annual interest on its&lt;br /&gt;
accounts. How long will it be before you&lt;br /&gt;
have enough to buy the car?&lt;br /&gt;
The Time Value of Money&lt;br /&gt;
&lt;br /&gt;
Future Value: Example #4&lt;br /&gt;
• Assume you are only willing to wait 15&lt;br /&gt;
years in the previous example. What rate&lt;br /&gt;
of return would you need to earn?&lt;br /&gt;
Some Present Value Definitions&lt;br /&gt;
• Present Value (PV): The current value of future&lt;br /&gt;
cash flows discounted at the appropriate discount&lt;br /&gt;
rate.&lt;br /&gt;
• Discount: Calculate the present value of some&lt;br /&gt;
future amount.&lt;br /&gt;
• Discount Rate: The rate used to calculate the&lt;br /&gt;
present value of future cash flows.&lt;br /&gt;
Calculating Present Value&lt;br /&gt;
• Present Value of $1 (i.e., $1 is the FV):&lt;br /&gt;
PV = =&lt;br /&gt;
• Present Value Factor:&lt;br /&gt;
1&lt;br /&gt;
----------------------------------------&lt;br /&gt;
(1 + r)t&lt;br /&gt;
&lt;br /&gt;
Present Value: Example #1&lt;br /&gt;
• You have five of the six Florida Lottery&lt;br /&gt;
numbers. Lottery officials offer you the&lt;br /&gt;
choice of the following alternative payouts:&lt;br /&gt;
– Alternative 1: $100,000 one year from now.&lt;br /&gt;
– Alternative 2: $200,000 five years from now.&lt;br /&gt;
Present Value: Still Example #1&lt;br /&gt;
• Which alternative would you choose if&lt;br /&gt;
interest rates are 12%?&lt;br /&gt;
• What rate makes the two alternatives&lt;br /&gt;
equally attractive?&lt;br /&gt;
Present Value: Example #2&lt;br /&gt;
• You have just received notification that&lt;br /&gt;
you have won the $1 million first prize in&lt;br /&gt;
the Centennial Lottery. However, the prize&lt;br /&gt;
will be awarded on your 100th birthday&lt;br /&gt;
(assuming you are around to collect), 80&lt;br /&gt;
years from now. What is the present value&lt;br /&gt;
of your windfall if the appropriate discount&lt;br /&gt;
rate is 15%?&lt;br /&gt;
&lt;br /&gt;
Present Value: Example #3&lt;br /&gt;
• Suppose you are still committed to owning&lt;br /&gt;
a $60,000 Jaguar. If you believe your&lt;br /&gt;
mutual fund can achieve a 9 percent annual&lt;br /&gt;
rate of return and you want to buy the car&lt;br /&gt;
in 10 years, how much must you invest&lt;br /&gt;
today?&lt;br /&gt;
Tips on Solving Present Value&lt;br /&gt;
and Future Value Problems&lt;br /&gt;
• Present value factor (PVF) is the reciprocal&lt;br /&gt;
of the future value factor (FVF).&lt;br /&gt;
• FVt = CF0 × (1 + r)t&lt;br /&gt;
• PV = CFt / (1 + r)t&lt;br /&gt;
• For multiple cash flows, just add up the&lt;br /&gt;
individual present (or future) values.&lt;br /&gt;
Tips on Solving Present Value&lt;br /&gt;
and Future Value Problems&lt;br /&gt;
• As t ↑, PV ↓ and FV ↑&lt;br /&gt;
• As r ↑, PV ↓ and FV ↑&lt;br /&gt;
• There are (currently) only 4 components:&lt;br /&gt;
PV, FV, t, and r&lt;br /&gt;
–With ANY 3 components, you can solve&lt;br /&gt;
for the 4th&lt;br /&gt;
The Time Value of Money&lt;br /&gt;
FINC 3610 -- Yost 7&lt;br /&gt;
Suggested Problems&lt;br /&gt;
• Critical Thinking and Concepts Review&lt;br /&gt;
– 1, 2, 3, 4, and 5&lt;br /&gt;
• Questions and Problems:&lt;br /&gt;
– 1, 6, 9, 13, 14, 15, 16, 18, 20, 22, 23, and 25&lt;br /&gt;
Additional Practice&lt;br /&gt;
$50,000 9 $25,000&lt;br /&gt;
$245,498 15% $15,000&lt;br /&gt;
$18,395 9% 13&lt;br /&gt;
5% 7 $40,000&lt;br /&gt;
Future&lt;br /&gt;
Value&lt;br /&gt;
Interest&lt;br /&gt;
Rate Years Present&lt;br /&gt;
Value&lt;br /&gt;
Additional Practice&lt;br /&gt;
• You are offered an investment that requires&lt;br /&gt;
you to put up $13,000 today in exchange&lt;br /&gt;
for $40,000 twelve years from now. What&lt;br /&gt;
is the average annual rate of return on this&lt;br /&gt;
investment?&lt;br /&gt;
• Would you accept it if the appropriate&lt;br /&gt;
discount rate was 8%?&lt;br /&gt;
&lt;br /&gt;
Additional Practice&lt;br /&gt;
• You have the opportunity to make an&lt;br /&gt;
investment that costs $900,000. If you&lt;br /&gt;
make this investment now, you will receive&lt;br /&gt;
$120,000 one year from today, $250,000&lt;br /&gt;
and $800,000 two and three years from&lt;br /&gt;
today, respectively. The appropriate&lt;br /&gt;
discount rate for this investment is 12%.&lt;br /&gt;
Additional Practice (continued)&lt;br /&gt;
• Should you make the investment? What is&lt;br /&gt;
the net present value?&lt;br /&gt;
• If the discount rate is 10%, should you&lt;br /&gt;
invest?&lt;br /&gt;
Calculator Tips&lt;br /&gt;
• Make sure you set the number of payments&lt;br /&gt;
per year to 1.&lt;br /&gt;
• Clear when necessary.&lt;br /&gt;
• Either PV or FV must be negative.&lt;br /&gt;
• Enter the interest rate as a whole number.&lt;/div&gt;</summary>
		<author><name>24.196.6.224</name></author>
	</entry>
	<entry>
		<id>https://ideawaza.com/index.php?title=Archive:Business_finance&amp;diff=21122</id>
		<title>Archive:Business finance</title>
		<link rel="alternate" type="text/html" href="https://ideawaza.com/index.php?title=Archive:Business_finance&amp;diff=21122"/>
		<updated>2006-11-22T03:07:18Z</updated>

		<summary type="html">&lt;p&gt;24.196.6.224: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;The Time Value of Money&lt;br /&gt;
&lt;br /&gt;
The Time Value of Money&lt;br /&gt;
Some Future Value Definitions&lt;br /&gt;
&lt;br /&gt;
• Future Value (FV): The amount an&lt;br /&gt;
investment is worth after one or more&lt;br /&gt;
periods.&lt;br /&gt;
• Simple Interest: Interest earned only on&lt;br /&gt;
the original principal amount invested.&lt;br /&gt;
More Future Value Definitions&lt;br /&gt;
• Compound Interest: Interest earned on&lt;br /&gt;
both the initial principal and the interest&lt;br /&gt;
reinvested from prior periods.&lt;br /&gt;
• Compounding: The process of&lt;br /&gt;
accumulating interest on an investment&lt;br /&gt;
over time to earn more interest.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Calculating Future Value&lt;br /&gt;
• Future Value of $1:&lt;br /&gt;
FV =&lt;br /&gt;
• Future Value Factor: (1 + r)t&lt;br /&gt;
Future Value: Example #1&lt;br /&gt;
• You deposit $500 into a savings account.&lt;br /&gt;
You plan on withdrawing the money and&lt;br /&gt;
closing the account exactly two years from&lt;br /&gt;
today. Interest rates are 10%, compounded&lt;br /&gt;
annually, and will remain constant over the&lt;br /&gt;
two years.&lt;br /&gt;
Future Value: Example #1&lt;br /&gt;
• How much money will you have when you&lt;br /&gt;
close the account (Future Value)?&lt;br /&gt;
• How much simple interest did you&lt;br /&gt;
accumulate?&lt;br /&gt;
• How much compound interest did you&lt;br /&gt;
accumulate?&lt;br /&gt;
&lt;br /&gt;
The Effects of Compounding&lt;br /&gt;
• The effects/benefits of compounding:&lt;br /&gt;
– Increase with time.&lt;br /&gt;
– Increase with the frequency of compounding.&lt;br /&gt;
(more on the details of this later.)&lt;br /&gt;
Future Value: Example #2&lt;br /&gt;
• You are scheduled to receive $17,000 in&lt;br /&gt;
two years. When you receive it, you will&lt;br /&gt;
invest it for six more years at 6 percent per&lt;br /&gt;
year. How much will you have in eight&lt;br /&gt;
years?&lt;br /&gt;
Future Value: Example #3&lt;br /&gt;
• You are trying to save to buy a new&lt;br /&gt;
$60,000 Jaguar. You have $22,000 today&lt;br /&gt;
that can be invested at your bank. The&lt;br /&gt;
bank pays 4 percent annual interest on its&lt;br /&gt;
accounts. How long will it be before you&lt;br /&gt;
have enough to buy the car?&lt;br /&gt;
The Time Value of Money&lt;br /&gt;
&lt;br /&gt;
Future Value: Example #4&lt;br /&gt;
• Assume you are only willing to wait 15&lt;br /&gt;
years in the previous example. What rate&lt;br /&gt;
of return would you need to earn?&lt;br /&gt;
Some Present Value Definitions&lt;br /&gt;
• Present Value (PV): The current value of future&lt;br /&gt;
cash flows discounted at the appropriate discount&lt;br /&gt;
rate.&lt;br /&gt;
• Discount: Calculate the present value of some&lt;br /&gt;
future amount.&lt;br /&gt;
• Discount Rate: The rate used to calculate the&lt;br /&gt;
present value of future cash flows.&lt;br /&gt;
Calculating Present Value&lt;br /&gt;
• Present Value of $1 (i.e., $1 is the FV):&lt;br /&gt;
PV = =&lt;br /&gt;
• Present Value Factor:&lt;br /&gt;
1&lt;br /&gt;
----------------------------------------&lt;br /&gt;
(1 + r)t&lt;br /&gt;
&lt;br /&gt;
Present Value: Example #1&lt;br /&gt;
• You have five of the six Florida Lottery&lt;br /&gt;
numbers. Lottery officials offer you the&lt;br /&gt;
choice of the following alternative payouts:&lt;br /&gt;
– Alternative 1: $100,000 one year from now.&lt;br /&gt;
– Alternative 2: $200,000 five years from now.&lt;br /&gt;
Present Value: Still Example #1&lt;br /&gt;
• Which alternative would you choose if&lt;br /&gt;
interest rates are 12%?&lt;br /&gt;
• What rate makes the two alternatives&lt;br /&gt;
equally attractive?&lt;br /&gt;
Present Value: Example #2&lt;br /&gt;
• You have just received notification that&lt;br /&gt;
you have won the $1 million first prize in&lt;br /&gt;
the Centennial Lottery. However, the prize&lt;br /&gt;
will be awarded on your 100th birthday&lt;br /&gt;
(assuming you are around to collect), 80&lt;br /&gt;
years from now. What is the present value&lt;br /&gt;
of your windfall if the appropriate discount&lt;br /&gt;
rate is 15%?&lt;br /&gt;
&lt;br /&gt;
Present Value: Example #3&lt;br /&gt;
• Suppose you are still committed to owning&lt;br /&gt;
a $60,000 Jaguar. If you believe your&lt;br /&gt;
mutual fund can achieve a 9 percent annual&lt;br /&gt;
rate of return and you want to buy the car&lt;br /&gt;
in 10 years, how much must you invest&lt;br /&gt;
today?&lt;br /&gt;
Tips on Solving Present Value&lt;br /&gt;
and Future Value Problems&lt;br /&gt;
• Present value factor (PVF) is the reciprocal&lt;br /&gt;
of the future value factor (FVF).&lt;br /&gt;
• FVt = CF0 × (1 + r)t&lt;br /&gt;
• PV = CFt / (1 + r)t&lt;br /&gt;
• For multiple cash flows, just add up the&lt;br /&gt;
individual present (or future) values.&lt;br /&gt;
Tips on Solving Present Value&lt;br /&gt;
and Future Value Problems&lt;br /&gt;
• As t ↑, PV ↓ and FV ↑&lt;br /&gt;
• As r ↑, PV ↓ and FV ↑&lt;br /&gt;
• There are (currently) only 4 components:&lt;br /&gt;
PV, FV, t, and r&lt;br /&gt;
–With ANY 3 components, you can solve&lt;br /&gt;
for the 4th&lt;br /&gt;
The Time Value of Money&lt;br /&gt;
FINC 3610 -- Yost 7&lt;br /&gt;
Suggested Problems&lt;br /&gt;
• Critical Thinking and Concepts Review&lt;br /&gt;
– 1, 2, 3, 4, and 5&lt;br /&gt;
• Questions and Problems:&lt;br /&gt;
– 1, 6, 9, 13, 14, 15, 16, 18, 20, 22, 23, and 25&lt;br /&gt;
Additional Practice&lt;br /&gt;
$50,000 9 $25,000&lt;br /&gt;
$245,498 15% $15,000&lt;br /&gt;
$18,395 9% 13&lt;br /&gt;
5% 7 $40,000&lt;br /&gt;
Future&lt;br /&gt;
Value&lt;br /&gt;
Interest&lt;br /&gt;
Rate Years Present&lt;br /&gt;
Value&lt;br /&gt;
Additional Practice&lt;br /&gt;
• You are offered an investment that requires&lt;br /&gt;
you to put up $13,000 today in exchange&lt;br /&gt;
for $40,000 twelve years from now. What&lt;br /&gt;
is the average annual rate of return on this&lt;br /&gt;
investment?&lt;br /&gt;
• Would you accept it if the appropriate&lt;br /&gt;
discount rate was 8%?&lt;br /&gt;
&lt;br /&gt;
Additional Practice&lt;br /&gt;
• You have the opportunity to make an&lt;br /&gt;
investment that costs $900,000. If you&lt;br /&gt;
make this investment now, you will receive&lt;br /&gt;
$120,000 one year from today, $250,000&lt;br /&gt;
and $800,000 two and three years from&lt;br /&gt;
today, respectively. The appropriate&lt;br /&gt;
discount rate for this investment is 12%.&lt;br /&gt;
Additional Practice (continued)&lt;br /&gt;
• Should you make the investment? What is&lt;br /&gt;
the net present value?&lt;br /&gt;
• If the discount rate is 10%, should you&lt;br /&gt;
invest?&lt;br /&gt;
Calculator Tips&lt;br /&gt;
• Make sure you set the number of payments&lt;br /&gt;
per year to 1.&lt;br /&gt;
• Clear when necessary.&lt;br /&gt;
• Either PV or FV must be negative.&lt;br /&gt;
• Enter the interest rate as a whole number.&lt;/div&gt;</summary>
		<author><name>24.196.6.224</name></author>
	</entry>
	<entry>
		<id>https://ideawaza.com/index.php?title=Archive:Business_finance&amp;diff=21121</id>
		<title>Archive:Business finance</title>
		<link rel="alternate" type="text/html" href="https://ideawaza.com/index.php?title=Archive:Business_finance&amp;diff=21121"/>
		<updated>2006-11-22T03:06:51Z</updated>

		<summary type="html">&lt;p&gt;24.196.6.224: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;The Time Value of Money&lt;br /&gt;
&lt;br /&gt;
The Time Value of Money&lt;br /&gt;
Some Future Value Definitions&lt;br /&gt;
• Future Value (FV): The amount an&lt;br /&gt;
investment is worth after one or more&lt;br /&gt;
periods.&lt;br /&gt;
• Simple Interest: Interest earned only on&lt;br /&gt;
the original principal amount invested.&lt;br /&gt;
More Future Value Definitions&lt;br /&gt;
• Compound Interest: Interest earned on&lt;br /&gt;
both the initial principal and the interest&lt;br /&gt;
reinvested from prior periods.&lt;br /&gt;
• Compounding: The process of&lt;br /&gt;
accumulating interest on an investment&lt;br /&gt;
over time to earn more interest.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Calculating Future Value&lt;br /&gt;
• Future Value of $1:&lt;br /&gt;
FV =&lt;br /&gt;
• Future Value Factor: (1 + r)t&lt;br /&gt;
Future Value: Example #1&lt;br /&gt;
• You deposit $500 into a savings account.&lt;br /&gt;
You plan on withdrawing the money and&lt;br /&gt;
closing the account exactly two years from&lt;br /&gt;
today. Interest rates are 10%, compounded&lt;br /&gt;
annually, and will remain constant over the&lt;br /&gt;
two years.&lt;br /&gt;
Future Value: Example #1&lt;br /&gt;
• How much money will you have when you&lt;br /&gt;
close the account (Future Value)?&lt;br /&gt;
• How much simple interest did you&lt;br /&gt;
accumulate?&lt;br /&gt;
• How much compound interest did you&lt;br /&gt;
accumulate?&lt;br /&gt;
&lt;br /&gt;
The Effects of Compounding&lt;br /&gt;
• The effects/benefits of compounding:&lt;br /&gt;
– Increase with time.&lt;br /&gt;
– Increase with the frequency of compounding.&lt;br /&gt;
(more on the details of this later.)&lt;br /&gt;
Future Value: Example #2&lt;br /&gt;
• You are scheduled to receive $17,000 in&lt;br /&gt;
two years. When you receive it, you will&lt;br /&gt;
invest it for six more years at 6 percent per&lt;br /&gt;
year. How much will you have in eight&lt;br /&gt;
years?&lt;br /&gt;
Future Value: Example #3&lt;br /&gt;
• You are trying to save to buy a new&lt;br /&gt;
$60,000 Jaguar. You have $22,000 today&lt;br /&gt;
that can be invested at your bank. The&lt;br /&gt;
bank pays 4 percent annual interest on its&lt;br /&gt;
accounts. How long will it be before you&lt;br /&gt;
have enough to buy the car?&lt;br /&gt;
The Time Value of Money&lt;br /&gt;
&lt;br /&gt;
Future Value: Example #4&lt;br /&gt;
• Assume you are only willing to wait 15&lt;br /&gt;
years in the previous example. What rate&lt;br /&gt;
of return would you need to earn?&lt;br /&gt;
Some Present Value Definitions&lt;br /&gt;
• Present Value (PV): The current value of future&lt;br /&gt;
cash flows discounted at the appropriate discount&lt;br /&gt;
rate.&lt;br /&gt;
• Discount: Calculate the present value of some&lt;br /&gt;
future amount.&lt;br /&gt;
• Discount Rate: The rate used to calculate the&lt;br /&gt;
present value of future cash flows.&lt;br /&gt;
Calculating Present Value&lt;br /&gt;
• Present Value of $1 (i.e., $1 is the FV):&lt;br /&gt;
PV = =&lt;br /&gt;
• Present Value Factor:&lt;br /&gt;
1&lt;br /&gt;
----------------------------------------&lt;br /&gt;
(1 + r)t&lt;br /&gt;
&lt;br /&gt;
Present Value: Example #1&lt;br /&gt;
• You have five of the six Florida Lottery&lt;br /&gt;
numbers. Lottery officials offer you the&lt;br /&gt;
choice of the following alternative payouts:&lt;br /&gt;
– Alternative 1: $100,000 one year from now.&lt;br /&gt;
– Alternative 2: $200,000 five years from now.&lt;br /&gt;
Present Value: Still Example #1&lt;br /&gt;
• Which alternative would you choose if&lt;br /&gt;
interest rates are 12%?&lt;br /&gt;
• What rate makes the two alternatives&lt;br /&gt;
equally attractive?&lt;br /&gt;
Present Value: Example #2&lt;br /&gt;
• You have just received notification that&lt;br /&gt;
you have won the $1 million first prize in&lt;br /&gt;
the Centennial Lottery. However, the prize&lt;br /&gt;
will be awarded on your 100th birthday&lt;br /&gt;
(assuming you are around to collect), 80&lt;br /&gt;
years from now. What is the present value&lt;br /&gt;
of your windfall if the appropriate discount&lt;br /&gt;
rate is 15%?&lt;br /&gt;
&lt;br /&gt;
Present Value: Example #3&lt;br /&gt;
• Suppose you are still committed to owning&lt;br /&gt;
a $60,000 Jaguar. If you believe your&lt;br /&gt;
mutual fund can achieve a 9 percent annual&lt;br /&gt;
rate of return and you want to buy the car&lt;br /&gt;
in 10 years, how much must you invest&lt;br /&gt;
today?&lt;br /&gt;
Tips on Solving Present Value&lt;br /&gt;
and Future Value Problems&lt;br /&gt;
• Present value factor (PVF) is the reciprocal&lt;br /&gt;
of the future value factor (FVF).&lt;br /&gt;
• FVt = CF0 × (1 + r)t&lt;br /&gt;
• PV = CFt / (1 + r)t&lt;br /&gt;
• For multiple cash flows, just add up the&lt;br /&gt;
individual present (or future) values.&lt;br /&gt;
Tips on Solving Present Value&lt;br /&gt;
and Future Value Problems&lt;br /&gt;
• As t ↑, PV ↓ and FV ↑&lt;br /&gt;
• As r ↑, PV ↓ and FV ↑&lt;br /&gt;
• There are (currently) only 4 components:&lt;br /&gt;
PV, FV, t, and r&lt;br /&gt;
–With ANY 3 components, you can solve&lt;br /&gt;
for the 4th&lt;br /&gt;
The Time Value of Money&lt;br /&gt;
FINC 3610 -- Yost 7&lt;br /&gt;
Suggested Problems&lt;br /&gt;
• Critical Thinking and Concepts Review&lt;br /&gt;
– 1, 2, 3, 4, and 5&lt;br /&gt;
• Questions and Problems:&lt;br /&gt;
– 1, 6, 9, 13, 14, 15, 16, 18, 20, 22, 23, and 25&lt;br /&gt;
Additional Practice&lt;br /&gt;
$50,000 9 $25,000&lt;br /&gt;
$245,498 15% $15,000&lt;br /&gt;
$18,395 9% 13&lt;br /&gt;
5% 7 $40,000&lt;br /&gt;
Future&lt;br /&gt;
Value&lt;br /&gt;
Interest&lt;br /&gt;
Rate Years Present&lt;br /&gt;
Value&lt;br /&gt;
Additional Practice&lt;br /&gt;
• You are offered an investment that requires&lt;br /&gt;
you to put up $13,000 today in exchange&lt;br /&gt;
for $40,000 twelve years from now. What&lt;br /&gt;
is the average annual rate of return on this&lt;br /&gt;
investment?&lt;br /&gt;
• Would you accept it if the appropriate&lt;br /&gt;
discount rate was 8%?&lt;br /&gt;
&lt;br /&gt;
Additional Practice&lt;br /&gt;
• You have the opportunity to make an&lt;br /&gt;
investment that costs $900,000. If you&lt;br /&gt;
make this investment now, you will receive&lt;br /&gt;
$120,000 one year from today, $250,000&lt;br /&gt;
and $800,000 two and three years from&lt;br /&gt;
today, respectively. The appropriate&lt;br /&gt;
discount rate for this investment is 12%.&lt;br /&gt;
Additional Practice (continued)&lt;br /&gt;
• Should you make the investment? What is&lt;br /&gt;
the net present value?&lt;br /&gt;
• If the discount rate is 10%, should you&lt;br /&gt;
invest?&lt;br /&gt;
Calculator Tips&lt;br /&gt;
• Make sure you set the number of payments&lt;br /&gt;
per year to 1.&lt;br /&gt;
• Clear when necessary.&lt;br /&gt;
• Either PV or FV must be negative.&lt;br /&gt;
• Enter the interest rate as a whole number.&lt;/div&gt;</summary>
		<author><name>24.196.6.224</name></author>
	</entry>
	<entry>
		<id>https://ideawaza.com/index.php?title=Archive:Business_finance&amp;diff=21120</id>
		<title>Archive:Business finance</title>
		<link rel="alternate" type="text/html" href="https://ideawaza.com/index.php?title=Archive:Business_finance&amp;diff=21120"/>
		<updated>2006-11-22T03:04:53Z</updated>

		<summary type="html">&lt;p&gt;24.196.6.224: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;The Time Value of Money&lt;br /&gt;
&lt;br /&gt;
The Time Value of Money&lt;br /&gt;
Some Future Value Definitions&lt;br /&gt;
• Future Value (FV): The amount an&lt;br /&gt;
investment is worth after one or more&lt;br /&gt;
periods.&lt;br /&gt;
• Simple Interest: Interest earned only on&lt;br /&gt;
the original principal amount invested.&lt;br /&gt;
More Future Value Definitions&lt;br /&gt;
• Compound Interest: Interest earned on&lt;br /&gt;
both the initial principal and the interest&lt;br /&gt;
reinvested from prior periods.&lt;br /&gt;
• Compounding: The process of&lt;br /&gt;
accumulating interest on an investment&lt;br /&gt;
over time to earn more interest.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Calculating Future Value&lt;br /&gt;
• Future Value of $1:&lt;br /&gt;
FV =&lt;br /&gt;
• Future Value Factor: (1 + r)t&lt;br /&gt;
Future Value: Example #1&lt;br /&gt;
• You deposit $500 into a savings account.&lt;br /&gt;
You plan on withdrawing the money and&lt;br /&gt;
closing the account exactly two years from&lt;br /&gt;
today. Interest rates are 10%, compounded&lt;br /&gt;
annually, and will remain constant over the&lt;br /&gt;
two years.&lt;br /&gt;
Future Value: Example #1&lt;br /&gt;
• How much money will you have when you&lt;br /&gt;
close the account (Future Value)?&lt;br /&gt;
• How much simple interest did you&lt;br /&gt;
accumulate?&lt;br /&gt;
• How much compound interest did you&lt;br /&gt;
accumulate?&lt;br /&gt;
The Time Value of Money&lt;br /&gt;
FINC 3610 -- Yost 3&lt;br /&gt;
The Effects of Compounding&lt;br /&gt;
• The effects/benefits of compounding:&lt;br /&gt;
– Increase with time.&lt;br /&gt;
– Increase with the frequency of compounding.&lt;br /&gt;
(more on the details of this later.)&lt;br /&gt;
Future Value: Example #2&lt;br /&gt;
• You are scheduled to receive $17,000 in&lt;br /&gt;
two years. When you receive it, you will&lt;br /&gt;
invest it for six more years at 6 percent per&lt;br /&gt;
year. How much will you have in eight&lt;br /&gt;
years?&lt;br /&gt;
Future Value: Example #3&lt;br /&gt;
• You are trying to save to buy a new&lt;br /&gt;
$60,000 Jaguar. You have $22,000 today&lt;br /&gt;
that can be invested at your bank. The&lt;br /&gt;
bank pays 4 percent annual interest on its&lt;br /&gt;
accounts. How long will it be before you&lt;br /&gt;
have enough to buy the car?&lt;br /&gt;
The Time Value of Money&lt;br /&gt;
&lt;br /&gt;
Future Value: Example #4&lt;br /&gt;
• Assume you are only willing to wait 15&lt;br /&gt;
years in the previous example. What rate&lt;br /&gt;
of return would you need to earn?&lt;br /&gt;
Some Present Value Definitions&lt;br /&gt;
• Present Value (PV): The current value of future&lt;br /&gt;
cash flows discounted at the appropriate discount&lt;br /&gt;
rate.&lt;br /&gt;
• Discount: Calculate the present value of some&lt;br /&gt;
future amount.&lt;br /&gt;
• Discount Rate: The rate used to calculate the&lt;br /&gt;
present value of future cash flows.&lt;br /&gt;
Calculating Present Value&lt;br /&gt;
• Present Value of $1 (i.e., $1 is the FV):&lt;br /&gt;
PV = =&lt;br /&gt;
• Present Value Factor:&lt;br /&gt;
1&lt;br /&gt;
----------------------------------------&lt;br /&gt;
(1 + r)t&lt;br /&gt;
The Time Value of Money&lt;br /&gt;
FINC 3610 -- Yost 5&lt;br /&gt;
Present Value: Example #1&lt;br /&gt;
• You have five of the six Florida Lottery&lt;br /&gt;
numbers. Lottery officials offer you the&lt;br /&gt;
choice of the following alternative payouts:&lt;br /&gt;
– Alternative 1: $100,000 one year from now.&lt;br /&gt;
– Alternative 2: $200,000 five years from now.&lt;br /&gt;
Present Value: Still Example #1&lt;br /&gt;
• Which alternative would you choose if&lt;br /&gt;
interest rates are 12%?&lt;br /&gt;
• What rate makes the two alternatives&lt;br /&gt;
equally attractive?&lt;br /&gt;
Present Value: Example #2&lt;br /&gt;
• You have just received notification that&lt;br /&gt;
you have won the $1 million first prize in&lt;br /&gt;
the Centennial Lottery. However, the prize&lt;br /&gt;
will be awarded on your 100th birthday&lt;br /&gt;
(assuming you are around to collect), 80&lt;br /&gt;
years from now. What is the present value&lt;br /&gt;
of your windfall if the appropriate discount&lt;br /&gt;
rate is 15%?&lt;br /&gt;
The Time Value of Money&lt;br /&gt;
FINC 3610 -- Yost 6&lt;br /&gt;
Present Value: Example #3&lt;br /&gt;
• Suppose you are still committed to owning&lt;br /&gt;
a $60,000 Jaguar. If you believe your&lt;br /&gt;
mutual fund can achieve a 9 percent annual&lt;br /&gt;
rate of return and you want to buy the car&lt;br /&gt;
in 10 years, how much must you invest&lt;br /&gt;
today?&lt;br /&gt;
Tips on Solving Present Value&lt;br /&gt;
and Future Value Problems&lt;br /&gt;
• Present value factor (PVF) is the reciprocal&lt;br /&gt;
of the future value factor (FVF).&lt;br /&gt;
• FVt = CF0 × (1 + r)t&lt;br /&gt;
• PV = CFt / (1 + r)t&lt;br /&gt;
• For multiple cash flows, just add up the&lt;br /&gt;
individual present (or future) values.&lt;br /&gt;
Tips on Solving Present Value&lt;br /&gt;
and Future Value Problems&lt;br /&gt;
• As t ↑, PV ↓ and FV ↑&lt;br /&gt;
• As r ↑, PV ↓ and FV ↑&lt;br /&gt;
• There are (currently) only 4 components:&lt;br /&gt;
PV, FV, t, and r&lt;br /&gt;
–With ANY 3 components, you can solve&lt;br /&gt;
for the 4th&lt;br /&gt;
The Time Value of Money&lt;br /&gt;
FINC 3610 -- Yost 7&lt;br /&gt;
Suggested Problems&lt;br /&gt;
• Critical Thinking and Concepts Review&lt;br /&gt;
– 1, 2, 3, 4, and 5&lt;br /&gt;
• Questions and Problems:&lt;br /&gt;
– 1, 6, 9, 13, 14, 15, 16, 18, 20, 22, 23, and 25&lt;br /&gt;
Additional Practice&lt;br /&gt;
$50,000 9 $25,000&lt;br /&gt;
$245,498 15% $15,000&lt;br /&gt;
$18,395 9% 13&lt;br /&gt;
5% 7 $40,000&lt;br /&gt;
Future&lt;br /&gt;
Value&lt;br /&gt;
Interest&lt;br /&gt;
Rate Years Present&lt;br /&gt;
Value&lt;br /&gt;
Additional Practice&lt;br /&gt;
• You are offered an investment that requires&lt;br /&gt;
you to put up $13,000 today in exchange&lt;br /&gt;
for $40,000 twelve years from now. What&lt;br /&gt;
is the average annual rate of return on this&lt;br /&gt;
investment?&lt;br /&gt;
• Would you accept it if the appropriate&lt;br /&gt;
discount rate was 8%?&lt;br /&gt;
The Time Value of Money&lt;br /&gt;
FINC 3610 -- Yost 8&lt;br /&gt;
Additional Practice&lt;br /&gt;
• You have the opportunity to make an&lt;br /&gt;
investment that costs $900,000. If you&lt;br /&gt;
make this investment now, you will receive&lt;br /&gt;
$120,000 one year from today, $250,000&lt;br /&gt;
and $800,000 two and three years from&lt;br /&gt;
today, respectively. The appropriate&lt;br /&gt;
discount rate for this investment is 12%.&lt;br /&gt;
Additional Practice (continued)&lt;br /&gt;
• Should you make the investment? What is&lt;br /&gt;
the net present value?&lt;br /&gt;
• If the discount rate is 10%, should you&lt;br /&gt;
invest?&lt;br /&gt;
Calculator Tips&lt;br /&gt;
• Make sure you set the number of payments&lt;br /&gt;
per year to 1.&lt;br /&gt;
• Clear when necessary.&lt;br /&gt;
• Either PV or FV must be negative.&lt;br /&gt;
• Enter the interest rate as a whole number.&lt;/div&gt;</summary>
		<author><name>24.196.6.224</name></author>
	</entry>
</feed>