document.write( "Question 1138919: Antonio is buying a house for N$960,000. He has to pay a 10% deposit and can secure a bond
\n" );
document.write( "from his bank repayable over 20 years at 12% p.a. interest.
\n" );
document.write( "(a) What is his monthly instalment? (4 marks)
\n" );
document.write( "(b) Another bank is now giving him two better options i.e. to increase the payback period to 30
\n" );
document.write( "years or to reduce the rate by 1.5% p.a. Find the monthly instalment for each option.
\n" );
document.write( "(i) 30 year payback period (4 marks)
\n" );
document.write( "(ii) Reduced interest rate (4 marks)
\n" );
document.write( "(c) How much money will he save per month using the cheapest option? \n" );
document.write( "
Algebra.Com's Answer #756730 by Theo(13342)![]() ![]() You can put this solution on YOUR website! the cost of the house is 960,000.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "he has to pay a 10% deposit and can secure a mortgage from his bank repayable over 20 years at 12% per year interest compounded monthly.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the amount that has to be mortgaged is 90% of 960,000 = 864,000.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "i used the financial calculator that can be found at https://arachnoid.com/finance/\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that calculator tells me that the monthly payment is $9,513.38.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "another bank give him two other options.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the first option is a 30 year mortgage rather than a 20 year mortgage.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "using this option, his payment will be $8,887.21, but that will be for 360 payments rather than 240 payments.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the second optiom is to keep the 20 year mortgagee but reduce the interest rate by 1.5 percent per year.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that would make the interest rate equal to 10.5% per year rather than 12% per year.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "divide that by 12 and you get .875 percent per month.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the payment for that option would be $8,626.00 per month.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the cheapest option is 20 year mortgage at 10.5% interest rate per year rather than 12% interest rate per year.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "with that option, he would save $9513.38 minus $8,626.0 = $887.38.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the calculations for each of these options using the referenced financial calculator are shown below.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " ![]() \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " ![]() \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " ![]() \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "any questions about what i did and why i did it, let me know.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |