please show me calculation/workings

try to solve as many as possible please

5. Your friend is considering investing $5,000 at the end of every quarter in a bank account

paying 8% per annum. The first contribution will be made at the end of the first quarter. If

interest is compounded monthly, the total amount she will have accumulated at the end of ten

years is closest to:

a) $228,338.

b) $289,731.

c) $302,010.

d) $302,886.

6. Banks A, B and C offer the following interest rates on one-year bank deposits.

Bank A: 7.9% p.a. compounded monthly.

Bank B: 8.0% p.a. compounded quarterly.

Bank C: 8.1% p.a. compounded semi-annually.

The best interest rate is offered by:

a) Bank A.

b) Bank B.

c) Bank C.

d) The three banks offer equally attractive interest rates.

7. You are thinking about buying a rare collectible that costs $50,000. The dealer is proposing

the following deal. She will lend you the money and you will repay the loan by making the

same payment every two years for the next 20 years. If the interest rate is 4% p.a.

compounded annually, the amount you will have to pay every two years is closest to:

a) $3,679.

b) $5,153.

c) $6,165.

d) $7,505.

8. BLB Ltd has just issued a coupon growth bond with the following terms. Each bonds face

value is $1,000 and the bonds will mature in 5 years time. Coupons will be paid on an annual

basis at the end of each year. The first years coupon will be $100 which will then grow at an

annual rate of 10% until the bonds mature. If the bonds yield to maturity is 8% per annum, its

price today should be closest to:

a) $972.

b) $1,080.

c) $1,161.

d) $1,275.

9. Consider a five-year bond with a face value of $1,000 paying annual coupons at a rate of 12%

which has a current yield to maturity of 10%. If all interest rates remain unchanged, one year

from today the price of this bond:

a) Will be higher.

b) Will be lower.

c) Will be the same.

d) Cannot be determined without additional information.

10. Your favorite aunty has finally agreed to contribute towards funding your retirement.

Specifically, she will start with a contribution of $6,000 today (that is, end of year 0) but this

amount will then decline at a constant rate of 3% p.a. over the foreseeable future. If the

interest rate appropriate for valuing your auntys contribution is 12% p.a. its present value

today is closest to:

a) $38,800.

b) $44,800.

c) $56,000.

d) $70,667.