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Seattle Hospital, a taxpaying entity, estimates that it can save $30,000 a year in cash operating costs for the next 10 yearsCalculate the following for the special-purpose eye-testing machine: a. Net present value b. Payback period c. Internal rate

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Answer #1

Intitial Invetment is $135000

Rate of return is 12%

Depreciation = $135000/10years =$13500

Particulars Yearly Cash Flows ($)
Cost Savings(A) 30000
Depreciation (B) 13500
Net Cost savings (C=A-B) 16500
Tax on Savings@34%(D) 5610
Net Cost savings after tax(F=C-D) 10890
Net Cash Inflow(G=F+B) 24390

Annual Profit = 10890

Average Investment =(Opening Investment+Closing Investment)/2

=(135000+0)/2=67500

a)Net Present Value(NPV) = Present Value of Cash inflows/Cost Savings after tax-Initial investment

=24390*(Present Value@12%,10Years)- 135000

=24390*5.65022-135000=2808.86=$2808.86

b)Payback Period =Initial Investment / Net Cash Flow per Period

=135000/24390=5.53Years =5 years 6 months 10 days

c)Internal Rate of Return = rate of return at which NPV is equal to "0"

=12.506%

d)Accrual accounting rate of return based on actual investment =Average Annual Profit/Initial investment

= 10890/135000=0.0806 =8.066%

f)Accrual accounting rate of return based on actual investment =Average Annual Profit/Average Investment

= 10890/67500=0.1613 =16.13%

The above all answers are changed if machine has a terminal disposal value is $11,000

Then NPV is increased,Net Payback period decreased,IRR is increased Accrual account rate of return is based on average investment is decreased.

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