document.write( "Question 1201866: Reggie has just taken over management of a family business. He wants to make sure that it makes financial sense to keep the business going. He could sell the building today for $610,000. Keeping the business going will require a $60,000 renovation now and will yield an annual profit of $72,000 for the next 25 years (for simplicity assume these occur at year end, beginning one year from now). The discount/interest rate is 6%. What are the NPV and IRR of this decision? \n" ); document.write( "
Algebra.Com's Answer #836411 by Theo(13342) You can put this solution on YOUR website! he could sell the building tody for 610,000. \n" ); document.write( "to keep the business runing, he would have to spend 60,000 now and will yield an annual profit of 72,000 for the next 25 years. \n" ); document.write( "the discount interest rate if 6%. \n" ); document.write( "all profit is assumed to occur at the end of each year.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "i used excel to create the cash flow and the NPV (net present value) and the IRR (internal rate of return).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the results are shown below:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "plan A was keeping the business going. \n" ); document.write( "plan B wass to sell the building (and presumably leaving the business) for $610,000.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "at 6% discount rate, the results showed that keeping the business for 25 years gave a higher NPV than selling the building and getting out of the business.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the internal rate of return of plan A, by itself, was 120% over the 25 year period.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the internl rate of return of plan A minus plan B was 9.68%, rounded to 2 decimal places.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "since plan A NPV was greater than plan B at 6%, it is reasonable that the internal rate of return of plan A minus plan B was greater than 6%.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if you are looking at the results of the decision, you are probably looking at the results of plan A minus plan B comparison.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "NPV plan A minus plan B comparison is $250,401.64 in favor of plan A. \n" ); document.write( "the internal rate of return of that decision is 9.68%, rounded to two decimal places.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "plan A (keeping the business going) is the winner, as far as i can tell. \n" ); document.write( " \n" ); document.write( " |