Foutz corporation has entered into a 8 year lease for a piece of equipment. the annual payment under the lease will be $3,600, with payments being made at the beginning of each year. if the discount rate is 17%, the present value of the lease payments is closest to: (round to nearest dollar)

$17,721

Explanation:

The computation of the Net present value is shown below

The discount factor should be computed by

= 1 ÷ (1 + rate) ^ years

where,  

rate is 17%  

Year = 0,1,2,3,4 and so on

Discount Factor:

For Year 1 = 1 ÷ 1.17^0 = 1

For Year 1 = 1 ÷ 1.17^1 = 0.8547

For Year 2 = 1 ÷ 1.17^2 = 0.7305

For Year 3 = 1 ÷ 1.17^3 = 0.6244

For Year 4 = 1 ÷ 1.17^4 = 0.5377

For Year 5 = 1 ÷ 1.17^5 = 0.4561

For Year 6 = 1 ÷ 1.17^6 = 0.3898

For Year 7 = 1 ÷ 1.17^7 = 0.3332

So, the calculation of a Present value of all yearly cash inflows are shown below

= Year 0 cash inflow × Present Factor of Year 0 + Year 1 cash inflow × Present Factor of Year 1 + Year 2 cash inflow × Present Factor of Year 2 + Year 2 cash inflow × Present Factor of Year 2 + Year 3 cash inflow × Present Factor of Year 3 + Year 4 cash inflow × Present Factor of Year 4 + Year 5 cash inflow × Present Factor of Year 5 + Year 6 cash inflow × Present Factor of Year 6 + Year 7 cash inflow × Present Factor of Year 7

= $3,600 × 1 + $3,600 × 0.8547 + $3,600 × 0.7305 + $3,600 × 0.6244 + $3,600 × 0.5377 + $3,600 × 0.4561 + $3,600 × 0.3898 + $3,600 × 0.3332

= $3,600 + $3,077 + $2,630 + $2,248 + $1,921 + $1,642 + $1,403 + $1,200

= $17,721

We take the first four digits of the discount factor.  

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