EMI & Annuity calculation

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Discount  rate (1+r)^-n   0.7513148009016 (1+0.10)^-3    
Annuity rate 1-(Discount Rate)/r 2.4868519909842 1-(0.7513148009016)/0.10  
EMI   {P [r / (1- (1+r)^(-n)]} 0.402114804 0.10/1-(0.7513148009016)  
P=Loan   10,000          
Years= n   3          
r=interest rate 0.10          
Annual payment $4,021          
Monthly payment (EMI) $4,021     10000*(0.402114804)  
               
  Balance Interest Payment Closing      
  10,000 1000 4021 5,979      
  5,979 598 4021 1,958      
  1,958 196 4021 0      
               
Modified EMI formula            
Modified r= r/12   0.008333333 0.10/12    
Discount rate (1+r/12)^-n 0.741739703 (1+(0.10/12))^-36  
EMI   {P [(r/12) / (1- (1+(r/12))^(-n)]} 0.032267187 0.008333333/(1-0.741739703)
Monthly payment $323     10000*0.032267187  
               
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