Question

In: Finance

You want to buy a car, and a local bank will lend you $15,000. The loan...

You want to buy a car, and a local bank will lend you $15,000. The loan will be fully amortized over 5 years (60 months), and the nominal interest rate will be 8% with interest paid monthly. What will be the monthly loan payment? What will be the loan's EAR? Do not round intermediate calculations. Round your answer for the monthly loan payment to the nearest cent and for EAR to two decimal places. Monthly loan payment: $ EAR: %

Solutions

Expert Solution

Ans Monthly Payment : $ 304.15

P = Regular Payments
PV = Loan Amount
r = rate of interest
n = no of periods
P = r (PV)
1 - (1 + r )^-n
P = (8%/12)*15000
1 - (1 / (1 + 8%/12)^60))
P = 100
0.328789556
P = 304.15

Effective Interest : 8.30%

EAR = ( 1 + APR%)^n - 1
Compounded Monthly
EAR= ( 1 + 8%/12)^12 - 1
EAR= 8.30%

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