Question

Greenfield, Inc. agrees to make lease payments of $220 at the end of each month for 48 months for the use of a machine. Assuming a borrowing rate of 12%, the present value of the lease payments is:

Answer 1

Answer:

The Present value of the lease payment is  $ 6,713.28

Explanation:

Given as :

The payment amount at the end of every months = $ 220

The total months = 48 months , i.e 4 years

The rate of compounded yearly = 12 %

Let The present principal value =  P

∵ $ 220 is the payment at the end of 48 months

∴ Total amount in 48 months = $ 220 × 48 = $ 10,560

Now , from compounded method

The Amount after 48 months = Present value × $(1+\frac{\textrm Rate}{100})^{\textrm Time}$

So , $ 10,560 = P × $(1+\frac{\textrm 12}{100})^{\textrm 4}$

Or,  $ 10,560 = P × $(1.12)^{4}$

So , $ 10,560 = P × 1.573

∴ P = $\frac{10560}{1.573}$ = $ 6,713.28

Hence The Present value of the lease payment is  $ 6,713.28  Answer