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Dave, age 30 and single, is concerned about his finances. He visits a
financial advisor to help him determine whether his finances are in good
order. The advisor requires the following information to prepare a Net
Worth Statement.
   He lives in a $100,000.00 home on which there is an outstanding
mortgage of $60,000.00. There is a car loan of $15,000.00 on a car that
is valued at $20,000.00. The loan is for three years. Dave has $3000.00
in the bank and a $4000.00 cash surrender value (near cash) on his life
insurance policy. He has $10,000.00 in mutual funds and $3000.00 in
Canada Savings Bonds. He also has RRSPs totaling $15,000.00. At the
present time, Dave has a credit card balance of $4000.00 and a small
loan of $2000.00 that must be paid this year.
   Prepare a Net Worth Statement for Dave. What is his debt/equity
ratio?
Answer

(1) Dave's net worth is $74,000, and his debt/equity ratio is
0.28, or 28%.
*       Bill is married and has a young family. He wants to borrow money to buy
    a travel trailer. The loan officer at the bank uses the following information to
    prepare a net worth statement.
        Bill and his family live in an $80,000.00 home on which there is an
    outstanding mortgage of $52,000.00. He owns a car valued at $20,000.00 and
    owes $12,000.00 on a loan he took to buy the car. He has $30 000.00 in an
    RPP (Registered Pension Plan). He also has RRSPs valued at $7000.00. Bill
    owes a credit card company $6000.00, and he has a personal loan for
    $2500.00 that must be paid in the next few months. The family has $1500.00
    in a chequing account and another $3000.00 in a savings account at the local
    bank. He owns a boat worth $5000.00.

       (a) What is the family's present net worth?
       (b) What is their debt/equity ratio?
       (c) The loan required to buy the travel trailer is $25,000.00. Will the loan
    increase their debt/equity ratio beyond 0.5?
       (d) Should Bill buy the travel trailer? Explain.
       (e) Suggest some ways the family could increase their net worth and/or
    decrease their debt/equity ratio.
Answers
(2)(a) Net worth is $74,000.      (b) Debt/equity ratio is 0.28, or 27.7%.

   (c) Their assets increase by $25,000, and the liabilities also increase
by $25,000. The debt/equity ratio increases to 0.62, or 62%.

   (d) Bill should probably postpone buying the travel trailer until he has
at least half of the money saved up for it. By doing this, he would keep
the debt/equity ratio below 50%. He should not cash in his RRSPs and
RPPs to pay for the trailer, because these funds are intended for
retirement.

   (e) The family could increase their net worth by:
   • limiting their consumer spending (which would likely decrease the
credit card and short-term loans debts)
   • increasing their savings (they have a reasonable amount in RRSPs
and RPPs, but very little in bank savings or other semi-liquid assets)
   • investing their money in accounts that pay more interest or returns
than a bank savings account
Who wants to be a millionaire?
                                     HOMEWORK
 You want to retire at age 55 with $1 000 000 in savings. You can
 invest regularly in an account that pays 8% interest compounded
 quarterly. If you are 17 years old now, what should you be paying
 as a monthly payment to attain your goal?




 How would this change if            How would this change if
 you started at age 25? 35?          you could get a 12% interest
                                     rate?
Alice invests $10 000.00 with the help of a financial advisor. Her
expected rate of return is 6% compounded annually. Her advisor
requires a management fee of $100.00 each year. HOMEWORK
 a) Determine the value of Alice’s investment at the end of 5
 years. Show your work.




 b) Alice would like to accumulate a total of $20 000.00 after 10 years.
 What minimum interest rate would allow Alice to achieve her goal if
 the management fees were eliminated?
Rick is entering the University of Winnipeg and needs a computer. He
wonders whether he should purchase or lease it.
                                                 HOMEWORK
 OPTION 1: Purchase                 OPTION 2: Lease
 • $1299 plus taxes to be financed   • Payment of $39.90 plus taxes a
 at 16.5% over 36 months            month for 36 months.
 compounded monthly (monthly        • The computer may be purchased at
 payments).                         the end of the lease for $850 plus
                                    taxes.
 a) Compare the costs of Option 1 and Option 2.




 b) State one advantage for each option. Justify your answer.

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Applied Math 40S May 20, 2008

  • 1. Finance Cat by flickr user o205billege
  • 2. Dave, age 30 and single, is concerned about his finances. He visits a financial advisor to help him determine whether his finances are in good order. The advisor requires the following information to prepare a Net Worth Statement. He lives in a $100,000.00 home on which there is an outstanding mortgage of $60,000.00. There is a car loan of $15,000.00 on a car that is valued at $20,000.00. The loan is for three years. Dave has $3000.00 in the bank and a $4000.00 cash surrender value (near cash) on his life insurance policy. He has $10,000.00 in mutual funds and $3000.00 in Canada Savings Bonds. He also has RRSPs totaling $15,000.00. At the present time, Dave has a credit card balance of $4000.00 and a small loan of $2000.00 that must be paid this year. Prepare a Net Worth Statement for Dave. What is his debt/equity ratio?
  • 3. Answer (1) Dave's net worth is $74,000, and his debt/equity ratio is 0.28, or 28%.
  • 4. * Bill is married and has a young family. He wants to borrow money to buy a travel trailer. The loan officer at the bank uses the following information to prepare a net worth statement. Bill and his family live in an $80,000.00 home on which there is an outstanding mortgage of $52,000.00. He owns a car valued at $20,000.00 and owes $12,000.00 on a loan he took to buy the car. He has $30 000.00 in an RPP (Registered Pension Plan). He also has RRSPs valued at $7000.00. Bill owes a credit card company $6000.00, and he has a personal loan for $2500.00 that must be paid in the next few months. The family has $1500.00 in a chequing account and another $3000.00 in a savings account at the local bank. He owns a boat worth $5000.00. (a) What is the family's present net worth? (b) What is their debt/equity ratio? (c) The loan required to buy the travel trailer is $25,000.00. Will the loan increase their debt/equity ratio beyond 0.5? (d) Should Bill buy the travel trailer? Explain. (e) Suggest some ways the family could increase their net worth and/or decrease their debt/equity ratio.
  • 5. Answers (2)(a) Net worth is $74,000. (b) Debt/equity ratio is 0.28, or 27.7%. (c) Their assets increase by $25,000, and the liabilities also increase by $25,000. The debt/equity ratio increases to 0.62, or 62%. (d) Bill should probably postpone buying the travel trailer until he has at least half of the money saved up for it. By doing this, he would keep the debt/equity ratio below 50%. He should not cash in his RRSPs and RPPs to pay for the trailer, because these funds are intended for retirement. (e) The family could increase their net worth by: • limiting their consumer spending (which would likely decrease the credit card and short-term loans debts) • increasing their savings (they have a reasonable amount in RRSPs and RPPs, but very little in bank savings or other semi-liquid assets) • investing their money in accounts that pay more interest or returns than a bank savings account
  • 6. Who wants to be a millionaire? HOMEWORK You want to retire at age 55 with $1 000 000 in savings. You can invest regularly in an account that pays 8% interest compounded quarterly. If you are 17 years old now, what should you be paying as a monthly payment to attain your goal? How would this change if How would this change if you started at age 25? 35? you could get a 12% interest rate?
  • 7. Alice invests $10 000.00 with the help of a financial advisor. Her expected rate of return is 6% compounded annually. Her advisor requires a management fee of $100.00 each year. HOMEWORK a) Determine the value of Alice’s investment at the end of 5 years. Show your work. b) Alice would like to accumulate a total of $20 000.00 after 10 years. What minimum interest rate would allow Alice to achieve her goal if the management fees were eliminated?
  • 8. Rick is entering the University of Winnipeg and needs a computer. He wonders whether he should purchase or lease it. HOMEWORK OPTION 1: Purchase OPTION 2: Lease • $1299 plus taxes to be financed • Payment of $39.90 plus taxes a at 16.5% over 36 months month for 36 months. compounded monthly (monthly • The computer may be purchased at payments). the end of the lease for $850 plus taxes. a) Compare the costs of Option 1 and Option 2. b) State one advantage for each option. Justify your answer.