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. Sam Rothstein wants to borrow $15,500 to be repaid in quarterly installments over five years at 16% compounded quarterly. How much will his payment be

Sagot :

Answer:

$1,140.52 per Quarter

Explanation:

Loan Amount (P) = $15,500

Quarterly Interest Rate (n) = 4.00% [16.00% / 4]

Number of period (n) = 20 Periods [5 * 4]

Quarterly Loan Payment = [P * {r*(1+r)^n} ] / [(1+r)^n - 1]

= [$15,500 * {0.04 * (1+0.04)^20}] / [(1+0.04)^20 - 1]

= [$15,500 * {0.04 * 2.1911231}] / [2.1911231 - 1]

= [$15,500*0.0876449] / 1.1911231

= $1,358.50 / 1.1911231

= $1,140.52 per Quarter