How to Calculate Present Value Annuities

&NewLine;<&excl;-- WP QUADS Content Ad Plugin v&period; 2&period;0&period;95 -->&NewLine;<div class&equals;"quads-location quads-ad1" id&equals;"quads-ad1" style&equals;"float&colon;left&semi;margin&colon;0px 0px 0px 0&semi;">&NewLine;&NewLine;<&sol;div>&NewLine;<p align&equals;"justify">Calculation of annuities is an important topic of basic finance and requires simple calculation to find the present or future value of any amount&period; one can value an annuity with two ways&period; It is therefore a limited count of cash flows&comma; the slow or first way is to separately value each cash flow and add their present values&period; The quick or second way used the following formula to value the annuities&period; <&sol;p>&NewLine;<p align&equals;"justify">&NewLine;General formula for annuity that pays C&dollar; in a year for every t year is&colon;<&sol;p>&NewLine;<p align&equals;"justify">&&num;160&semi;<&sol;p>&NewLine;<p align&equals;"justify"><a href&equals;"http&colon;&sol;&sol;mba-lectures&period;com&sol;wp-content&sol;uploads&sol;2010&sol;12&sol;image4&period;png"><img style&equals;"border-right-width&colon; 0px&semi; display&colon; inline&semi; border-top-width&colon; 0px&semi; border-bottom-width&colon; 0px&semi; border-left-width&colon; 0px" title&equals;"image" border&equals;"0" alt&equals;"image" src&equals;"http&colon;&sol;&sol;mba-lectures&period;com&sol;wp-content&sol;uploads&sol;2010&sol;12&sol;image&lowbar;thumb4&period;png" width&equals;"400" height&equals;"26" &sol;><&sol;a> <&sol;p>&NewLine;<p align&equals;"justify">&&num;160&semi;<&sol;p>&NewLine;<p align&equals;"justify">This expression is generally known as the annuity factor for t year&comma; and it shows present value of time t year annuity of &dollar;1 per year&period; Second way to write its annuity value is&colon;<&sol;p>&NewLine;<&excl;-- WP QUADS Content Ad Plugin v&period; 2&period;0&period;95 -->&NewLine;<div class&equals;"quads-location quads-ad2" id&equals;"quads-ad2" style&equals;"float&colon;none&semi;margin&colon;0px 0 0px 0&semi;text-align&colon;center&semi;">&NewLine;&NewLine;<&sol;div>&NewLine;&NewLine;<p align&equals;"justify">&NewLine;Present value of t year annuity &equals; payment&&num;160&semi; multiply by annuity factor<&sol;p>&NewLine;<p align&equals;"justify">&NewLine;For example Bobby travelers offer an &&num;8220&semi;easy payment&&num;8221&semi; schedule of &dollar;8000 a year at the end of each year for the next 3 years&period; Lets first calculate the annuity with the slow way&comma; interest rate is 10&percnt;&period; Present value of 3 payments is <&sol;p>&NewLine;<p align&equals;"justify">&&num;160&semi;<&sol;p>&NewLine;<p align&equals;"justify"><a href&equals;"http&colon;&sol;&sol;mba-lectures&period;com&sol;wp-content&sol;uploads&sol;2010&sol;12&sol;image5&period;png"><img style&equals;"border-right-width&colon; 0px&semi; display&colon; inline&semi; border-top-width&colon; 0px&semi; border-bottom-width&colon; 0px&semi; border-left-width&colon; 0px" title&equals;"image" border&equals;"0" alt&equals;"image" src&equals;"http&colon;&sol;&sol;mba-lectures&period;com&sol;wp-content&sol;uploads&sol;2010&sol;12&sol;image&lowbar;thumb5&period;png" width&equals;"400" height&equals;"205" &sol;><&sol;a> <&sol;p>&NewLine;<p align&equals;"justify">&&num;160&semi;<&sol;p>&NewLine;<p> The above figure shows present value of each cash flow calculated and summed&period; But the same calculation could be done with the help of Annuity formula which is much quicker&period; The calculation with the help of annuity formula is given below&colon;<&sol;p>&NewLine;<p> &&num;160&semi;<&sol;p>&NewLine;<p> <a href&equals;"http&colon;&sol;&sol;mba-lectures&period;com&sol;wp-content&sol;uploads&sol;2010&sol;12&sol;image6&period;png"><img style&equals;"border-right-width&colon; 0px&semi; display&colon; inline&semi; border-top-width&colon; 0px&semi; border-bottom-width&colon; 0px&semi; border-left-width&colon; 0px" title&equals;"image" border&equals;"0" alt&equals;"image" src&equals;"http&colon;&sol;&sol;mba-lectures&period;com&sol;wp-content&sol;uploads&sol;2010&sol;12&sol;image&lowbar;thumb6&period;png" width&equals;"400" height&equals;"67" &sol;><&sol;a> &NewLine;<&excl;-- WP QUADS Content Ad Plugin v&period; 2&period;0&period;95 -->&NewLine;<div class&equals;"quads-location quads-ad3" id&equals;"quads-ad3" style&equals;"float&colon;none&semi;margin&colon;0px&semi;">&NewLine;&NewLine;<&sol;div>&NewLine;&NewLine;

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