In: Finance
Tom wishes to purchase a property that has been valued at $300,000. He has 25% of this amount available as a cash deposit, and will require a mortgage for the remaining amount. The bank offers him a 25-year mortgage at 2% interest. Calculate his monthly repayments. Give your answer in dollars and cents.
Loan amount = 300000* .75 = 225000
Time = 25* 12 = 300 month
Interest rate = 2/12 = 0.16666% per month
If the loan amount is P, rate on interest (monthly is r, and loan term is n the EMI will be
EMI = P*r[(1 +r)^n]/ [(1+ r)^n- 1]
Where,
Loan amount (P) = $225000
Time (n) = 300
Interest rate [r] = 0.166667% /period
Let's put all the values in the formula to calculate EMI
EMI = 225000*0.00166667[(1 +0.00166667)^300]/ [(1+ 0.00166667)^300- 1]
= 375.00075[(1.00166667)^300]/ [(1.00166667)^300- 1]
= 375.00075[1.6480368539]/ [1.6480368539- 1]
= 375.00075[1.6480368539]/ [0.6480368539]
= 375.00075[2.54312211409247]
= 953.67
So EMI will be $953.67
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