Required information As an innovative way to pay for various software packages t
ID: 1104366 • Letter: R
Question
Required information As an innovative way to pay for various software packages that your company sells, a high-tech service company has offered to pay your company in any one of three ways: (1) pay $512,000 now; (2) pay $1.5 million 5 years from now; or (3) pay $200,000 now and $420,000 2 years from now. You want to earn a real return of 11% per year and the inflation rate is 4.5% per year in the specialized software market. Reference links 14.2 Present Worth Calculations Adjusted for Inflation Determine the market return rates at which all three methods have the same PW value. The rate for offer 2 is) The rate for offer 3 is J%.Explanation / Answer
Option 1 pays 512,000 now and so that it PW is 512,000.
We will have to take this as PW for option 2 and 3.
a) 1500000 / ( 1 + r ) ^ 5 = 512,000
1500000 / 512000 = ( 1+r ) ^ 5
( 2.9296875 ) ^ 1/5 = 1 + r
1.239836 -1 = 0.239836
Required market rate for option 2 is 23.9836%
b) Option 3 has 200000 payment now and 420000 after 2 years.
200000 + ( 420000 / (1+r ) ^ 2 ) = 512000
( 420000 / (1+r ) ^ 2 ) = 312000
420000 / 312000 = (1+r)^2
1.346853 = (1+r)^2
1+r = 1.160238
r = 0.160238
Required market rate should be 16.0238%
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