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Mathematics
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Contemporary Business Mathematics Study Set 2
Quiz 11: Ordinary Simple Annuities
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Question 41
Essay
How many monthly payments will it take for $1000.00 deposited at the end of each month to amount to $50 000.00 at 9% compounded monthly?
Question 42
Essay
How many quarterly payments will it take for $400.00 deposited at the end of each quarter to amount to $11 453.40 at 6% compounded quarterly?
Question 43
Essay
A $5000.00 loan requires payments at the end of each quarter for five years.If the interest rate on the loan is 8% compounded quarterly,calculate the size of each payment.
Question 44
Essay
A $15 000.00 loan requires payments at the end of each month for five years.If the interest rate on the loan is 12% compounded monthly,calculate the size of each payment.
Question 45
Essay
In what period of time could you pay back a loan of $13 900.00 by making monthly payments of $296.00 if interest is 6.5% compounded monthly?
Question 46
Essay
A loan of $19 850.00 is to be repaid in quarterly payments of $620.00.How many payments are required to repay the loan at 6.5% compounded quarterly?
Question 47
Essay
What is the term of a mortgage of $235 000.00 repaid by monthly payments of $2475.00 if interest is 7.55% compounded monthly?
Question 48
Essay
What nominal rate of interest is earned by monthly deposits of $560.00 made for 6 years if the balance just after the last deposit is $52 700.00?
Question 49
Essay
How many yearly payments will it take for $25 000.00 deposited at the end of each year to amount to $1 000 000.00 at 9% compounded yearly?
Question 50
Essay
Compute the nominal annual rate of interest (compounded monthly)at which $200.00 deposited at the end of each month for ten years will amount to $30 000.00
Question 51
Essay
How many semi-annually payments will it take for $500.00 deposited at the end of each half year to amount to $10 000.00 at 6% compounded semi-annually?
Question 52
Essay
What deposit made at the end of each quarter will accumulate to $20 000.00 in four years at 4% compounded quarterly?
Question 53
Essay
Bonny converted an RRSP balance of $176 875.67 into an RRIF that will pay her $2720.00 at the end of every month for 8 years.What is the nominal rate of interest?
Question 54
Essay
Note: The calculations for this question were done using Excel's RATE function. A property worth $191 000.00 can be purchased for 15% down and quarterly mortgage payments of $1972.00 for 30 years.What effective rate of interest is charged?
Question 55
Essay
Suppose $726.56 is deposited at the end of every six months into an account earning 6.45% compounded semi-annually.If the balance in the account four years after the last deposit is to be $31 300.00,how many deposits are needed?