document.write( "Question 1077224: What is the present value of a single cash flow of $25,000 received at the end of 10 years, if we assume a discount rate of 5% annually? With a discount rate of 7% \n" ); document.write( "
Algebra.Com's Answer #691796 by Theo(13342) You can put this solution on YOUR website! interest rates are 5% and 7%.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "time period is 10 years.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "interest is compounded annually.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "formula is f = p * (1 + r) ^ n\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "r is the interest rate per time period \n" ); document.write( "n is the number of time periods. \n" ); document.write( "f is the future value \n" ); document.write( "p is the present value\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "at 5%, your problem formula becomes 25000 = p * (1.05) ^ 10\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "at 7%, your problem formula becomes 25000 = p * (1.07) ^ 10\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solve for p in both equations and you get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "p = 25000 / 1.05 ^ 10 at 5% per year.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "p = 25000 / 1.07 ^ 10 at 7% per year.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "results are:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "p = 15347.83 at 5% per year.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "p = 12708.73 at 7% per year.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |