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Question - You want to buy a house using a 15-year fixed-rate mortgage from the bank. Given your income, you are willing to pay up to $3,000 per month in monthly mortgage payments and want to borrow 70% of the house price from the bank. You have sufficient cash in your bank account to pay the remaining 30% of the house price. The monthly payments will start one month from receiving the loan and the interest rate is 4.8% per annum compounding monthly.
(a) What is the highest price that you can pay for a house?
(b) Assuming that you bought a house for the highest possible price, what is the principal left on your mortgage after 5 years?
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If you deposit $6,000 into your 401K plan every year for the next 40 years and your account yields, how much will you have at the end of 40 years
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