Suppose an investment that will pay your 2000 cash eventually of basic, next, and you will 3rd year to own an annual interest regarding several% compounded every quarter.
03 ) 4 ] + 2000 [ ( step 1 + 1 / 0.03 ) 8 ] + 2000 [ 1 / ( step 1 + 0.03 ) 12 ] = $ 4 , F = dos , 000 * ( F / P 3 % , ( 12 ? cuatro ) ) + 2 , 000 * ( F / P step three % , ( 12 ? 8 ) ) + 2 , 100000 * ( F / P step three % , ( a dozen ? a dozen ) ) = 2 , 100000 * ( F / P step 3 % , 8 ) + 2 , 100 * ( F / P step 3 % , cuatro ) + dos , 000 = 2000 * ( step one + 0.03 ) 8 + 2000 * ( 1 + 0.03 ) 4 + 2000 = $ six ,
Please note you to while the rate of interest try compounded every quarter, we need to construction the brand new data when you look at the a quarterly legs. Generally there might be several home (three years and cuatro house each every year) toward day range.
PRESENTER: Why don’t we manage an example. Assume there clearly was a financial investment one to will pay you $2,100 eventually of the year that, season one or two, and you may seasons three, having an annual interest regarding twelve% compounded every quarter. And we also need to assess the present worth at date zero and you will the next well worth in the long run of year around three out-of these money.
The first thing that we have to would is to try to draw the latest timeline and discover the brand new costs on the line. The smallest period in the schedule is going to be compounding several months, that’s one-fourth inside example. Your panels lifestyle is actually 3 years. Therefore we have to have a dozen quarters otherwise time interval toward schedule. Více