Newship Inc. has borrowed from its bank at a rate of 8 percent and will repay the loan with interest over the next five years. Its scheduled payments, starting at the end of the year are as follows—$450,000, $560,000, $750,000, $875,000, and $1,000,000. What is the present value of these payments?

Respuesta :

Answer:

Present value is given as : [tex]\frac{1}{[1+i]^{n}}\times cash flow[/tex]

Therefore Present Value for year one is

=[tex]\frac{1}{[1+0.08]^{1}}\times 450,000[/tex]

=$416,666.6

Similarly Present Value for year two is

=[tex]\frac{1}{[1+0.08]^{2}}\times 560,000[/tex]

=$480,109.7

Present Value for year three is

=[tex]\frac{1}{[1+0.08]^{3}}\times 750,000[/tex]

=$595,374

Present Value for year four is

=[tex]\frac{1}{[1+0.08]^{4}}\times 875,000[/tex]

=$643,151

Present Value for year five is

=[tex]\frac{1}{[1+0.08]^{5}}\times 1,000,000[/tex]

=$680,583

Therefore the net present value is :

=$416,666.6+$480,109.7+$595,374+$643,151+$680,583

=$1,845,510.5