Carrie grandfather owns a farm. The farm earned $270,000 this year. The profits are expected to grow at 5.5% per year forever. What is the value of the farm if the discount rate is 9% ?
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- Your mother wants to buy a car which will cost $15,000 five years from today. She would like save $2,450 at the end of each year (for the next five years) in an account, so as to have the amount she needs. What interest (to the closest percent) must she earn in this account to achieve this financial objective?Sandra needs to save $46000 over the next 5 years. If she can save $6400 per year and earn an 12% rate of return on an annualized basis, by how much (approximately) will she exceed or fall short of her goal?Aunt Zelda’s son starts college in 5 years for which she will need $15,000 payable at the end of each of the 4 years. Suppose she can buy an annuity in 5 yrs. that will enable her to make the four $15,000 annual payments. Draw a timeline for all cash flows. What will be the cost of the annuity 5 years from today? What is the most she should be willing to pay for it if purchased today? Assume an interest (discount) rate of 6% during these 9 years.
- You are contributing money to an investment account so that you can purchase a small piece of agricultural land in 5 years. You plan to contribute 6 payments of 30,000 a year. The first payment will be made today and the final payment will be made 5 years from now. If you earn 11% in investment account, how much money will you have in the account 5 years from now?Your favorite uncle wants to give each of his favorite nieces and nephews $30,000 now while he is still alive so he can appreciate the benefit of the gratitude. Your goal is to save the money he gives you so when you get older you'll have money to start a business. What will be the value of your investment if the rate you can earn on your investment is 10% compounded semi annually for 7 years?Clarissa wants to fund a growing perpetuity that will pay $10,000 per year to a local museum, starting next year. She wants the annual amount paid to the museum to gro by 5% per year. Given that the interest rate is 9%, how much does she need to fund this perpetuity?
- Colin has inherited $6,000 from the death of Grandma Anna. He would like to use this money to buy his mom Hayley a new scooter costing $7,000 two years from now. Will Colin have enough money to buy the gift if he deposits his money in an account paying 8 percent compounded semi-annually?Gina aims to renovate her house 6 years from now at a cost of $128,000. How much money should she save at the beginning of each 3 months to achiever her goal if her savings earn interest at 10% compounded quarterly?Susan Orman wants to pay $1,500 semiannually to her granddaughter for 10 years for helping her around the house. If Susan can invest money at 6% compounded semiannually, how much must she invest today to meet this goal?
- How much do you need to save each year for 30 years in order to have $775,000, assuming you are investing the money in an account that earns 8%? How much of the $775,000 comes from contributions (your out of pocket costs)?If you put $10,000 into an investment to fund your child's college education in 18 years, how much would you accumulate if you earned 10.24% per year?Margaret has $650 000 in her RRSP and wishes to retire.She is thinking of using the funds to purchase an annuity that earn 5% compounded annually and pays her $3 700 at the end of each month.If she buys the annuity for how long in years and months will she receive the payments?
