Hi tutor

i ' m not really sure how to do these problem.

thank you :)

1.A company has an investment portfolio that earns them 4.4% per annum compounded quarterly.

(i)What interest rate r% compounded continuously would be equivalent to the company's portfolio rate?

3.The Chang family buys a holiday apartment for $154,000 with a downpayment of $66,000. They take out a mortgage for the outstanding amount at an interest rate of 4.8% per annum compounded monthly.

(i)Calculate the total amount of interest paid in amortising the loan.

(ii)Determine the unpaid balance of the loan after 10 years.

4.An endowment of $40,000 has been given to the University to support one graduate student per year to travel overseas to attend a conference. At the beginning of each year the successful applicant will receive $4,000. However the first such payment can only be made in two years' time. Assume the interest rate on the endowment is 4.5% per annum (compounded annually).

(i)How many full payments can be made before the endowment has insufficient funds for another payment?