Question

Find the value of C, which makes the following two cash flow series equivalent. Assume that the market interest rate is 6% per year. Note: There are multiple approaches to solving this problem so be sure to consider the computational efficiencies of each approach before starting! $400 $400 $400 $400 $400 $125 $125 0 1 2 3 4 5 6 7 o 1 2 3 4 5 6 7 -$250 $250 $250

Answer 1

Answer:

Find attached complete question.

$ 750.10  

Explanation:

In order to ascertain the value of C ,we need to equate the present value of the two streams of cash flows to each other as follows:

first stream:

$400/(1+6%)^1+$400/(1+6%)^2+$125/(1+6%)^3+$400/(1+6%)^4+$400/(1+6%)^5+$125/(1+6%)^6+$400/(1+6%)^7=$1,808.19  

Second stream:

C/(1+6%)^1+C/(1+6%)^2-$250/(1+6%)^3-$250/(1+6%)^4-$250/(1+6%)^5+C/(1+6%)^6+C/(1+6%)^7

-$250/(1+6%)^3-$250/(1+6%)^4-$250/(1+6%)^5=-$594.74

C/(1+6%)^1+C/(1+6%)^2+C/(1+6%)^6+C/(1+6%)^7=C/0.9434+C/0.8900+C/ 0.7050+C/ 0.6651  

simplification

C/0.9434+C/0.8900+C/ 0.7050+C/ 0.6651=C/(0.9434+0.8900+0.7050+0.6651)= 0.31216C

All in all:

$1,808.19 =-$594.74+ 0.31216C

$1,808.19+$594.74= 0.31216C

$2402.93 = 0.31216C

C=$2402.93* 0.31216  =$ 750.10