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ADVANCED PROBLEMS FOR SPREADSHEET APPLICATION can you show the formula? thanks 1

ID: 2743709 • Letter: A

Question

ADVANCED PROBLEMS FOR SPREADSHEET APPLICATION

can you show the formula? thanks

1. Monthly amortization schedule. Sherry and Sam want to purchase a condo at the coast. They will spend $650,000 on the condo and are taking out a loan for the whole amount for the condo for twenty years at 7.0% interest.

a. What is the monthly payment on the mortgage? Construct the amortization of the loan for the twenty years in a spreadsheet to show the interest cost, the principal reduction, and the ending balance each month.

Explanation / Answer

Amount_Financed MB0 $ 6,50,000.00 Rate R 7.00% Monthly rate r=R/12 0.58% Term (years) T' 20 Term (months) T=T'*12 240 (Monthly Payment=MP=MB0*(r)/(1-(1/(1+r)^(T))) $       5,039.44 MP=650000*(7%/12)/(1-(1/(1+7%/12)^(240)) Simple Amortization Schedule Input Area Amount_Financed                                                         6,50,000.00 Rate 7.00% Term (years) 20.00 Monthly Payment $5,039.44 (=PMT(Rate/12,Term*12,-Amount_Financed)) $5,039.44 (=Amount_Financed*(Rate/12)/(1-(1/(1+Rate/12)^(Term*12)))) Loan Date 15-03-2010 Balance in a month=Balance in previous month-Principal paid in the month Total Principal paid till nth month=Initial Mortgage balance-Mortgage Balance in the month Date Payment Interest Cost Principal Balance Month# (=Monthly Payment) (=Balance in prevoius month*Rate/12) (=Payment-Interest) Totals $12,09,466.34 $5,59,466.34 $6,50,000.00 15-03-2010     6,50,000.00 0 15-04-2010                                                                  5,039.44                                                               3,791.67                             1,247.78     6,48,752.22 1 15-05-2010                                                                  5,039.44                                                               3,784.39                             1,255.06     6,47,497.17 2 15-06-2010                                                                  5,039.44                                                               3,777.07                             1,262.38     6,46,234.79 3 15-07-2010                                                                  5,039.44                                                               3,769.70                             1,269.74     6,44,965.05 4 15-08-2010                                                                  5,039.44                                                               3,762.30                             1,277.15     6,43,687.91 5 15-05-2014 5039.44                                                               3,380.19 1659.250476 577802.3391 50 15-08-2019                                                                  5,039.44                                                               2,645.84                             2,393.60     4,51,179.60 113 15-10-2019                                                                  5,039.44                                                               2,617.84                             2,421.61     4,46,350.44 115 15-11-2019                                                                  5,039.44                                                               2,603.71                             2,435.73     4,43,914.70 116 15-12-2019                                                                  5,039.44                                                               2,589.50                             2,449.94     4,41,464.76 117 15-11-2029                                                                  5,039.44                                                                   144.45                             4,895.00         19,867.20 236 15-12-2029                                                                  5,039.44                                                                   115.89                             4,923.55         14,943.65 237 15-01-2030                                                                  5,039.44                                                                     87.17                             4,952.27           9,991.38 238 15-02-2030                                                                  5,039.44                                                                     58.28                             4,981.16           5,010.22 239 15-03-2030                                                                  5,039.44                                                                     29.23                             5,010.22                  -0.00 240

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