document.write( "Question 982290: what is the present value of a loan that calls for the payment of $500 per year for six years if the discount rate is 10% and the first payment will be made one year from now? \n" ); document.write( "
Algebra.Com's Answer #603193 by Theo(13342) You can put this solution on YOUR website! you will be discounting the payments at 10% per year. \n" ); document.write( "the first payment is 1 yeqr from now. \n" ); document.write( "the second payment is 6 years from now. \n" ); document.write( "the present value of each of the payments are: \n" ); document.write( "first payment = 500 / 1.10 \n" ); document.write( "second payment = 500 / 1.10^2 \n" ); document.write( "third payment = 500 / 1.10^3 \n" ); document.write( "fourth payment = 500 / 1.10^4 \n" ); document.write( "fifth payment = 500 / 1.10^5 \n" ); document.write( "sixth payment = 500 / 1.10^6 \n" ); document.write( "add up all of the present values and you get: \n" ); document.write( "present value of the loan is equal to 2,177.63 \n" ); document.write( "if you put the right number in a financial calculator, it will tell you the same thing. \n" ); document.write( "here's a financial calculator that you can use. \n" ); document.write( "http://www.arachnoid.com/lutusp/finance.html \n" ); document.write( "you would make the following entries: \n" ); document.write( "present value = 0 \n" ); document.write( "future value = 0 \n" ); document.write( "number of payments = 6 \n" ); document.write( "payment = -500 \n" ); document.write( "interest rate per period, % = 10 \n" ); document.write( "payment at: end \n" ); document.write( "you would then click on PV and you would get the present value of 2,177.63\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |