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Mathematics
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Mathematical Analysis
Quiz 6: Mathematics of Finance
Path 4
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Question 181
Essay
James amortizes a loan of $210,000 for a new home by obtaining a 40-year mortgage at the rate of 7.5% compounded monthly.Find (a)the monthly payment,(b)the total interest charges,and (c)the principal remaining after 15 years.
Question 182
Essay
A 20-year loan for $100,000 is to be amortized by equal semiannual payments.If interest is at the nominal rate of 10% compounded semiannually,find (a)the semiannual payment; (b)the interest in the first payment; (c)the principal repaid in the first payment.
Question 183
Short Answer
Find the future value of an annuity due with monthly payments of $250 for 26 years at 6% compounded monthly.
Question 184
Essay
The Krishnans amortize a loan of $150,000 for a new home by obtaining a 40-year mortgage at the rate of 10.2% compounded monthly.Find (a)the monthly payment,(b)the total interest charges,and (c)the principal remaining after 15 years.