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.  

answer: b) the us is the leading importer but not the leading exporter.

extra info:

the u.s is the largest importer but it is not the largest exporter as china sits on the top of the table when it comes to leading exporters.

but u.s is not far from first,

they rank in 2nd globally as the worlds largest exporter.

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