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This content is now here! >>>Click Here<<< https://EditaPaper.com Dominican Sisters of Blauvelt â&#x20AC;&#x2039;present value is how much you've got right now and future value is how much you've got right now grows too when compounded at a given rate so say for example I give you $100 and you take it to the bank and they give you 10% interest per year for two years okay the present value is easy it's just a hundred dollars it's how much you've got right now but the future value is a little bit more difficult but not that bad the future value is 121 dollars the way you get that is first year you take 10% of $100 it gets 110 dollars and then the second year you take 10% of 110 dollars which is 11 dollars which brings you to 121 dollars total so the present value is 100 dollars the future value is 121 dollars now here's the equation for figuring future value future value equals present value and
then you can see the rest there I is the interest rate per period and n is the number of compounding periods when I say period or compounding it periods I'm talking about the same thing now period or compounding period could be years or months or quarters or even days but it's got to be the same for both I and n so if the interest rate is an annual interest rate then the N would be per year if the interest rate is like a quarterly interest rate then the N would be per quarter okay so let's do an example what's the future value of $34 in five years if the interest rate is 5% well you just plug in the numbers here and what you get is the future value is $34 times 1.05 to the power of five one point zero five to the power of five equals one point two seven six to eight one five multiply that by $34 and you get the future value is forty three dollars and thirty nine cents okay now you can also go backwards let's say for example I will give you $1,000 in five years how much money should you give me now to make it fair to me okay and you think that a good interest rate would be say 6% and you just made that number up don't really worry about why it's six percent or not five percent you just have to pick a number and it's more important at this point to learn how to do the process than worry about what the number is okay so you think that a good interest rate will be six percent okay you just plug in the numbers again this time though you put thousand dollars as the future value and you're solving for PV the present value so one thousand dollars equals present value times one point zero six to the power of five one point zero six to the power of five equals one point three three eight and then you do basic algebra right you divide both sides by one point three three eight remember that okay so present value eight of x one point three three eight divided by one point three three eight on the right-hand side of the equation you just get PV or present value on the left hand side of equation you get one thousand dollars divided by one point three three eight put that in your calculator you get seven hundred and forty seven dollars and 38 cents equals the present value okay so you give me seven hundred and forty seven dollars and 38 cents a day and then in five years I'll give you a thousand dollars okay that may sound fair or not either way you will be getting six percent interest on your money copyright 2008 by teach me finance comm all rights reserved Bronx campus.
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