At the age of 30, Arash decided to create a financial plan to retire in 25 years. He had the following retirement objectives:

Home purchase objective: Own a home worth at least $1,200,000 with no mortgage.

Vacation objective: Have an amount of $45,000 for a European tour.

Monthly allowance objective: Receive a month-beginning allowance of $2000 for 20 years after retirement.

He created the following financial plans to achieve the above retirement objectives. Answer the questions related to each plan.

Plan to achieve his home purchase objective

Assuming that the value of a property in a Toronto suburb would double over 25 years, Arash would purchase a house worth

$600,000 by making a down-payment of $30,000 and obtaining a mortgage for the balance amount from a local bank at an

interest rate of 4% compounded semi-annually for 25 years.

1. If the interest rate is constant over the 25-year period, calculate the month-end payments for the mortgage. What would be his total investment in the house over the term?

Deposit $150 at the end of every month for ten years into a savings account that earns 3% compounded monthly. At the end of the ten years, transfer the accumulated money into an investment fund that earns 6% compounded quarterly and allows the money to grow in this fund until retirement.

2. How long (in years and months) will it take to accumulate the required amount of $45,000 to pay for his vacation?

3. To Ensure that the account accumulates to only $45,000 at the time of retirement, by how much should he change his monthly deposit?

He will save $500 at the beginning of every month until retirement in an RRSP that has an interest rate of 5.4% compounded monthly.

4. What would be the accumulated value of the RRSP at the time of retirement?

5. For Arash to be able to withdraw $2000 from the RRSP at the beginning off every month during his planned 20-year retirement period, what does the nominal interest rate, compounded monthly, need to change to, assuming the interest rate during the 25-year period remains unchanged at 5.4% compounded Monthly?