# 5) Determine the value of EUAw from the cash flow diagram shown below, i-9%. 6) Compute the rate of return represent flow.

47 0

Get full Expert solution in seconds

\$1.97 ONLY

5) IN ORDER TO FIND THE EQUIVALENT ANNUAL WORTH WE WILL USE THIS FORMULA:

P = R * PV / ( 1 – ( 1 + R) ^ – N )

AND BEFORE THAT WE WOULD NEED TO FIND THE PRESENT VALUE .

INITIAL INVESTMENT = \$7,500

ANNUAL CASH FLOW RECIEVED = \$2,000

PV = -7,500 + 2,000 (P/A,I,N)

WHERE I = 9%

AND N = 6

PV = -7,500 + 2,000(P/A,9%,6)

PV = -7,500 + 2,000 * 4.486

PV = -7,500 + 8,972

PV = \$1,472

NOW FOR FINDING THE EUAW WE WILL USE THE FORMULA:

P = R * PV / ( 1- ( 1+R) ^ – N)

P = 9% * 1,472 / ( 1 – ( 1 + 9% ) ^ -6)

P = 132.48 / ( 1 – (1.09) ^ -6 )

P = 132.48 / ( 1 – 0.5962)

P = 132.48 / 0.4037

P = \$328.13 (APPROX)

AND HENCE THE CORRECT OPTION IS A.

6) IN ORDER TO FIND THE RATE OF RETURN , WE WILL HAVE TO EQUATE THE PV TO ZERO OF THE CASH FLOWS.

PV = -14,000 + 5,000(P/A,I,N) + 5,500(P/A,I,N) + 6,000(P/A,I,N) + 6,500(P/A,I,N)

0 = -14,000 + 5,000(P/A,I,1) + 5,500(P/A,I,2) + 6,000(P/A,I,3) + 6,500(P/A,I,4)

14,000 =  5,000(P/A,I,1) + 5,500(P/A,I,2) + 6,000(P/A,I,3) + 6,500(P/A,I,4)

NOW, WE SOLVE FOR VARIOUS VALUES OF I , BY TRIAL AND WE GET I = 22.12% OR 22% APPROX.