Question

g Toyota has announced that it will offer free financing for 36-month loans on selected new models. How much is the zero-interest offer worth to you on a 36-month $25,000 loan if the market rate on loans of this type is 8%

Answer 1

$2,839.02

Explanation:

The computation of zero-interest offer is shown below:-

monthly payment = $25,000 ÷ 36

= $694.44

PV of loan = PMT × [1 - (1 + i) ^-n)] ÷ i

$25,000 = PMT × [1 - (1 + 0.67%) ^-36] ÷ 0.67%

PMT = $783.41

Now, the difference in monthly payment with and without interest is

= $783.41 - $694.44

= $88.96

PV of saving = $88.96 × [1 - (1 + 0.67%) ^-36] ÷ 0.67%

= $2,839.02