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Question 1:

Find the amount to which semi-annual deposits of $200.00 will grow in five years at 9.0% p.a. compounded semi-annually.

=200x2(semi)x5years=2000 depositedFV=3105.94

Question 2:

Leanne Simon made ordinary annuity payments of $96.00 per month for twenty-two years earning 10.2% compounded monthly. How much interest is included in the future value of the annuity?

=236762.78-25344=$211,418.78

Question 3:

Find the present value of ordinary semi-annual payments of $800.00 for eight years at 5.45% p.a., compounded semi-annually.

P=$8325.14

Question 4:

If a loan was repaid by ordinary monthly payments of $610.00 in nine years at 8.82%, compounded monthly, how much interest was paid?

=610x12x9=65880P=29872.4965880-29872.49=36007.51

Question 5:

The Bronff's bought an investment property valued at $220,000.00 by paying 22% down and mortgaging the balance over 25 years through equal monthly payments at 6% compounded monthly. What was the size of the monthly payments?

$1105.62/monthly

Question 6:

A $19200.00 loan requires payments at the end of each month for six years. If the interest rate on the loan is 12% compounded monthly, calculate the size of each payment.

$375.35/monthly

Question 7:

Suppose $693 is deposited at the end of every six months into an account earning 6.05% compounded semi-annually. If the balance in the account four years after the last deposit is to be $30 600.00, how many deposits are needed?

P=24109.07/693=34.78/2=17.3=17 deposits rounded down

Question 8:

A loan is repaid by making payments of $5000.00 at the end of every six months for fourteen years. If interest on the loan is 8% compounded quarterly, what was the principal of the loan? Note: Different periods of compounding and repayments.

5000x2x14=140000(1+0.02)'56=$424363.13

Question 9:

What is the accumulated value of deposits of $1600.00 made at the end of every six months for five years if interest is 8.2% compounded quarterly?

1600x2x5=16000(1+0.0205)'20=24009.34

Question 10:

Ralph Bogita saves $85.00 at the end of each month and deposits the money in an account, paying 2.5% compounded semi-annually.

a) How much will he accumulate in 24 years? =85x12x24=24480(1.0125)'48=44439.89

b) How much of the accumulated amount is interest? =44439.90-24480=19959.90

Question 11:

What deposit made at the end of each quarter will accumulate to $28 000.00 in four years at 4% compounded quarterly?

632.20x4years=2528.80

Question 12:

A student bought a rental property for $60 000.00 down and monthly payments of $1500.00 for 5 years. What is the equivalent cash price if money is worth 5.75% compounded semi-annually?

1500x12x5=90000(1.02875)'10=119492.6+60000=179492.60