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Your firm is considering leasing a $50,000 copier. The copier has an estimated e

ID: 2384133 • Letter: Y

Question

Your firm is considering leasing a $50,000 copier. The copier has an estimated economic life of eight years. Suppose the appropriate discount rate is 9% APR with monthly compounding. Classify each lease below as a capital lease or operating lease:

A four-year fair market value lease with payments of $1150 per month

A six-year fair market value lease with payments of $790 per month

A five-year fair market value lease with payments of $925 per month

Afive-yearfairmarketvalueleasewithpaymentsof$1000permonthandanoption

to cancel after three years with a $9000 cancellation penalty

Explanation / Answer

Calculation of Present value of lease Payments

Present Value

Case

Monthly Payment

Years

Months

APR

Formula

Present Value

Cost of Copier

1

1150

4

48

9%

=PV(9%/12,48,-1150)

$46,212.50

$      50,000.00

2

790

6

72

9%

=PV(9%/12,72,-790)

$43,826.71

$      50,000.00

3

925

5

60

9%

=PV(9%/12,60,-925)

$44,560.37

$      50,000.00

4

1000

5

60

9%

=PV(9%/12,60,-1000)

$48,173.37

$      50,000.00

In case 4 Present value of the lease payments is arounf eaqual to the cost , hence t can be classified as Capital Lease.

In all other case , Lease is a operating lease

Calculation of Present value of lease Payments

Present Value

Case

Monthly Payment

Years

Months

APR

Formula

Present Value

Cost of Copier

1

1150

4

48

9%

=PV(9%/12,48,-1150)

$46,212.50

$      50,000.00

2

790

6

72

9%

=PV(9%/12,72,-790)

$43,826.71

$      50,000.00

3

925

5

60

9%

=PV(9%/12,60,-925)

$44,560.37

$      50,000.00

4

1000

5

60

9%

=PV(9%/12,60,-1000)

$48,173.37

$      50,000.00

In case 4 Present value of the lease payments is arounf eaqual to the cost , hence t can be classified as Capital Lease.

In all other case , Lease is a operating lease

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