Question 1

When Johan received his share of a company, he invested RM24940. 56 at a rate of k% compounded monthly. Twenty years later, the amount accumulated was 150100. Find the value of k.

Question 2

Jessie wants to buy a home theater set in cash in two years time. It is estimated that the price of a home theatre set is RM7500. She opens an account that pays 6% compounded every 6 months. How much should Jessie put into this account so that she will have RM7500 at the end of two years?

Question 3

A debt of RM4500 was due 3 months ago and another debt of RM1000 will be due in ten months. These debts are to be settled by two equal payments, one at the end of four months and another at the end of 8 months. What is the values of the payment if:

1. The present is used as the focal date?
2. The focal date is the end of six months?

Question 4

A finance company offered an annuity with 3.5%interest rate compounded monthly for the first five years and additional 1% interest rate compounded monthly thereafter. Given Henry decided to deposit RM500 every month for 8 years, find:

1. The total amount he would receive at the end of this investment term.
2. The total interest earned.

Question 5

Lawrence bought a new house for RM388 000. He needed to pay a 5% down payment. The balance was borrowed from a finance company that charged interest at 7.23% compounded monthly. The period of the payment was 20 years.

1. Find the amount he needed to borrow from the finance company.
2. Find the monthly installment payment made to the finance company.
3. After paying for 13 years, he decided to settle all the unsettled loan in one single payment, find:

1. The amount of this single payment.
2. The total interest paid.
3. The amount of rebate from the finance company.

I need help in doing these questions. Hope you can give me clear working, TQ!