Answer:
The Present Worth of the machine if the real interest rate is 10% per year and the inflation rate is 5% per year, using:
(a) constant-value dollars
= $10,518.60
(b) then-current dollars
= $10,818.65
Explanation:
a) Data and Calculations:
Cost a certain machine six years from now = $25,000
Time period = 6 years
Real interest rate = 10%
Inflation rate = 5%
Nominal interest rate = 5% (10% - 5%)
Discount factor at 10% for 6 years = 0.564
Discount factor at 5% for 6 years = 0.746
PW using:
a) Constant-value dollars = $18,650 ($25,000 * 0.746)
PW = $10,518.60 ($18,650 * 0.564)
b) Then-current dollars:
The nominal rate = 0.1 + 0.05 + (0.1 * 0.05) = 0.155
$10,818.65 ($25,000 * 0.432746)
