Question

In: Finance

Hull wants to borrow a car. After making a cash payment for tax, title, and a...

Hull wants to borrow a car. After making a cash payment for tax, title, and a down payment, he will finance $32, 445. The interest rate is ½% per month and payments will be required for 5 years. a) How much will Hull’s monthly payment be? b) What is the effective annual rate of interest?

Solutions

Expert Solution

a)

EMI = [P x R x (1+R)^N]/[(1+R)^N-1]
Where,
EMI= Equal Monthly Payment
P= Loan Amount
R= Interest rate per period  
N= Number of periods =12*5 =60
= [ $32445x0.005 x (1+0.005)^60]/[(1+0.005)^60 -1]
= [ $162.225( 1.005 )^60] / [(1.005 )^60 -1
=$627.25

b)

Effective rate of interest = (1+r)^n -1
n= number of periods
r = interest rate
= (1+0.005) ^12 - 1
=6.17%

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