Question

A local government awards a landscaping company a contract worth $1.5 million per year for five years for maintaining public parks. The landscaping company will need to buy some new machinery before they can take on the contract. If the cost of capital is 6%, what is the most that this equipment could cost if the contract is to be worthwhile for the landscaping company

Answer 1

The equipment should not cost more than $6,318,545.68

Step-by-step explanation:

The most that the land scrapping equipment could cost is the present of the 1.5 million annuity discounted at 6% p.a.

Present Value of Annuity = A × ( 1- (1+r)^(-n))/r

A- 1,500,000, n- 5, r- 6%

=1, 500,000 × ((1.06)^(-5))/0.06

= $6,318,545.68

The equipment should not cost more than $6,318,545.68