Answer:
The equivalent uniform annual worth of the maintenance costs at an interest rate of 10% per year, compounded semiannually is $127,432
Explanation:
In order to calculate the equivalent uniform annual worth of the maintenance costs at an interest rate of 10% per year, compounded semiannually we would have to calculate the following formula:
equivalent uniform annual worth of the maintenance costs= P(i(1+i)∧n/(1+i)∧n-1
The rate of interest i would be as follows:
rate of interest i=(1+10%/2)-1
rate of interest i=0.1025*100
rate of interest i=10.25%
The present value P would be calculated as follows:
present value P=$125,000(1-(1+1/100)∧5 (1+10.25/100)∧-5/(10.25/100-1/100)
present value P=$125,000*3.84
present value P=$480,000
Therefore,
equivalent uniform annual worth of the maintenance costs=$480,000*(10.25/100 (1+10.25/100)∧5/(1+10.25/100)∧5-1)
equivalent uniform annual worth of the maintenance costs=$480,000*0.2654
equivalent uniform annual worth of the maintenance costs=$127,432
The equivalent uniform annual worth of the maintenance costs at an interest rate of 10% per year, compounded semiannually is $127,432
