Math, asked by kakashi2074, 4 months ago

Quarterly payments of P2,000 at the end of each term for 5 years with interest rate of 8% compounded
annually.​

Answers

Answered by amitnrw
7

Given : Quarterly payments of P2,000 at the end of each term for 5 years with interest rate of 8% compounded annually.​

To Find : Loan Amount

Solution:

Quarterly payments of P2,000  

=> Annual Payment = P 8000

As interest rate of 8% compounded annually.​  

R = 8 %

Annual inst allment = 8000

Time = n = 5 Years

EMI Formula = [P x (R/100) x (1+(R/100)ⁿ]/[(1+(R/100)ⁿ-1].

=> 8000 = [P x (8/100) x (1+(8/100)⁵]/[(1+(8/100)⁵-1].

=> 8000 = [P x (8/100) x (1.08)⁵]/[(1.08)⁵-1].

=> 100000 = P (1.08)⁵/[(1.08)⁵-1].

   => P  = 31,941.68

Loan Amount  = 31,941.68

if   interest rate of 8% compounded Quarterly.​  

Quarterly inst allments = 2000

R = 2 %

n = 20

2000 = [P x (2/100) x (1+(2/100)²⁰]/[(1+(2/100)²⁰-1].

100000 = [P  (1.02)²⁰]/[(1.02)²⁰-1]

=> P = 32,702.86

Loan Amount  = 32,702.86

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