Finance future and present value

  1. What is the future value of $20,000 received today if it is invested at 7.5% compounded annually for 4 years?

2 Marks

  1. Your father placed $4,000 in a Registered Education Savings plan for you. in 12 years,

the funds will be worth $30,000. What is the rate of return on the RESP? 2 Marks

  1. Aunty Laura puts $50,000 into a bank account earning 10%. You cannot withdraw the money until it doubles. How long will you have to leave the money in the account?

2 Marks

  1. In 4 years you are going to need $25,000 for a down payment on a house. If you invest at 6%, how much do you need right now?

2 Marks

  1. What is the total present value of $1,000 received in one year, $2,000 received in two

years, $3,000 received in three years and $7,000 received in 7 years if the discount rate is 8%?

4 Marks

  1. What is the total future value in 7 years from now of $1,000 received in one year,

$2,000 received in two years, $3,000 received in three years and $7,000 received in the seventh year if the rate is 8%?

4 Marks

  1. You win the lottery and are given the option of receiving $100,000 now or an annuity of

$10,000 at the end of each year for 10 years. Which option is most beneficial if the interest rate is 5% for the annuity payment? Show all calculations and ignore any tax implications.

2 Marks

  1. If the appropriate discount rate of the following cash flows is 9% compounded monthly, what is the present value of the cash flows?

3 Marks

Year

Cash Flow $ 1,000

750

4

1,500

SON

2 adet

9.

Your friend buys you a lottery ticket to will receive $100,000 per year forever, beginning one year present value of your winnings at a 5% discount rate!

Name:

day and you win. You and your heirs beginning one year from now. What is the

2 Marks

  1. What is the present value of 20 vears’ worth of $1,000 paymem

beginning of each year? Assume an interest rate of 4.23

‘s worth of $1,000 payments received at the

2 Marks

  1. Michael Corleone will loan you money on a”

“loan you money on a “five-for-six” arrangement; i.e. for every $5 Mes you today, you give him $6 one week from now. What is the EAR OT this be What is the APR of this loan?

3 Marks

  1. For each of the following, calculate the effect

Tollowing, calculate the effective annual rate (keep your answers to three decimal places in percentage form):

2 Marks

Stated Rate

12% 25%

Number of Times Compounded

Daily Continuously

  1. beginning three months from now, you want to be able to withdraw $500 each quarter

from your bank account to cover college expenses over the next three years. If the account pays 1% interest per quarter, how much do you need to have in your bank account today to meet your expense needs over the next three years? 3 Marks

  1. What is the future value of $15,000 in 15 years assuming an interest rate of 15%

compounded semi-annually?

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