Sample Practical Questions 1 - Solutions

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Sample Practical Questions Your Mid-Session Exam will have 40 Multiple Choice Questions and you will be required to choose ONE most correct answer from 4 options. As you will have to do calculations on a paper using pen/pencils and calculator, I suggest you practice doing calculations by hand-writing. 1. Amit Patel is planning to invest $10000 in a bank term deposit for 5 years. The term deposit will pay interest of 9 per cent. What is the future value of Amit’s investment? FV 10000 1.09 $15386.24 2. Megan Watts expects to need $50000 as a deposit on a house in 6 years. How much does she need to invest today in an account paying 7.25 per cent? PV 50000 1 0.0725 $32853.84 3. Mun has $10000 that he can deposit into a savings account for 5 years. Bank A pays compounds interest annually, Bank B twice a year, and Bank C quarterly. Each bank has a stated interest rate of 6 per cent. What amount would Mun have at the end of the fifth year if he left all the interest paid on the deposit in each bank? Bank A: FV 10000 1.06 $13382.26 Bank B: FV 10000 1 0.06/2 ହ௫ଶ $13439.16 Bank C: FV 10000 1 0.06/4 ହ௫ସ $13468.55 4. You have an opportunity to invest $2500 today and receive $3000 in 3 years. What will be the rate of return on your investment? 3000 2500 1 ൅ 𝑟ሻ 3000/2500 ൌ ሺ 1 ൅ 𝑟ሻ 3000/2500 / ൌ ሺ 1 ൅ 𝑟ሻ 3000/2500 / 1 ൌ 𝑟 6.27% ൌ 𝑟 5. Thang needs to decide whether to accept a bonus of $1900 today or wait 2 years and receive $2100 then. She can invest at 6 per cent. What should she do? PV 2100 1 0.06 $1868.99 Since the amount to be received today ($1900) is greater than the present value of the $2100 to be received in 2 years, Thang should choose to receive the amount of $1900 today.
6. Kylie wants to invest some money so she can collect $5500 at the end of 3 years. Which investment should she make given the following choices: a. 4.2% compounded daily PV 5500 1 0.042/365 ଷ௫ଷ଺ହ $4848.92 Kylie should invest $4848.92 today to reach her target of $5500 in 3 years. b. 4.9% compounded monthly PV 5500 1 0.049/12 ଷ௫ଵଶ $4749.54 Kylie should invest $4749.54 today to reach her target of $5500 in 3 years. c. 5.2% compounded quarterly PV 5500 1 0.052/4 ଷ௫ସ $4710.31 Kylie should invest $4710.31 today to reach her target of $5500 in 3 years. d. 5.4% compounded annually PV 5500 1 0.054/1 ଷ௫ଵ $4697.22 Kylie should invest $4697.22 today to reach her target of $5500 in 3 years. Kylie should invest in choice D as it is the cheapest price for the FV of $5500. 7. If interest is paid at a rate of 6% per year, compounded quarterly, what is the a) Annual percentage rate (APR)? APR = 6% b) Effective annual rate (EAR)? 𝐸𝐴𝑅 ൌ ሺ 1 0.06 4 1 0.06136 𝑜𝑟 6.136%
8. How long will it take $50,000 placed in a term deposit at 10% interest to grow into $75,000? 9. Faisal has $15,000 in his savings account and can save an additional $5000 per year. If interest rates are 12%, how long will it take his savings to grow to $50,000? 10. You invest $150 in an investment fund today that pays 9 per cent interest. How long will it take to double your money?
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11. You are able to deposit $850 into a bank term deposit today, and you will withdraw the money once the balance is $1000. If the bank pays 5 per cent interest, how long will it take you to attain your goal? 12. One of your customers is delinquent on their accounts payable balance. You have mutually agreed to a repayment schedule of $500 per month. You will charge 1% per month interest on the overdue balance. If the current balance is $13,000, how long will it take for the account to be paid off?
13. Laruen has just won the lottery and must choose one of the following guaranteed payoffs. Which one would you choose? The interest rate is 7% per annum. a. $100,000 paid today b. $150,000 paid six years from today. c. $50,000 paid one year from today and $68,000 paid four years from today d. $15,000 paid per year for ten years (greatest PV!) a. PV =100,000 c. PV = 4 50 000 68 000 98 605 85 1 07 1 07 , , , . . ( . ) b. PV= 6 150 000 99 951 33 1 07 , $ , . ( . ) d. PV = 10 15 000 1 1 105 353 7 0 07 1 07 , , . . ( . )