is anyone able to help me with these please and thank you
Module 4 Homework 100 Points Total Regarding answer format: Be sure you are using 4 decimals of precision in your calculator display: now it matters. ill if the question is asking for a dollar amount, answer to two decimals (ie Sx.co.jo) In no cose do you need to answer a question with a negative number: just input answers as normal (*) numbers. iv. if the question is asking for a %, answer to three decimals (ie.xx.00%). Easy Computations (7 points each) 1 You open a savings account that pays 4.000%. You invest $1,000. What is it worth at the end of 1 year? 2 You open a savings account that pays 4.000%. You invest $1,000. What is it worth at the end of 5 years? 3 UCCS tuition costs $10,000 per year. Nationwide tuition costs have been rising on average, about 6.000% per year. If that continues in the future, and if you expect your children to enter university in 25 years, what can we expect the annual tuition cost to be then? 4 You want to have saved $500,000 on the day you retire, which is exactly 45 years from today. If you could earn 5.500% interest per year on your savings account, what would you have to deposit today to have $500,000 in 45 years? 5 On the day of your child's birth, you open a savings account for their college education. Your goal is to give them $50,000 for college when they turn 18. The account earns 4.500% interest per year. What do you need to deposit today to meet your goal for the child? Intermediate Computations (5 points each) You graduate UCCS at age 22 and set the goal of saving $100,000 by the time you're 30. You have no savings today but figure you can save something every year. If you can earn 4.000% per year on your deposits, how much do you need to save each year to reach you goal in eight years? 7 You graduate UCCS at age 22 and set the goal of saving $100,000 by the time you're 30. You have $20,000 in savings today but figure you can also save something every year. If you can earn 4.000% per year on your deposits, how much do you need to save each year to reach you goal in eight years? 8 You realize that you can't afford to save up $100,000 by the time you're 30, but you're determined to save what you can. You have ne savings today and your budget allows you to save $6,000 per year. If you can earn 4.000% per year, then what should you have in eight years when you turn 307 9 You are considering buying a preferred stock that pays a $10 annual dividend. If you use a discount rate of 12%, what is the value of this preferred stock (e. what is the PV of the perpetuity)? 10 You are considering buying a preferred stock that pays a $10 annual dividend. If you use a discount rate of 6%, what is the value of this preferred stock (ie. what is the PV of the perpetuity)? Harder Computations (4 points each) Expert You deposited $10,000 into a savings account earning 6.000% and you let it sit for 10 years. How much did you earn in simple interest? 11 12 You deposited $10,000 into a savings account earning 6.000% and you let it sit for 10 years. Today the account is worth $17,908.48 How much did you earn due to compounding (ie, what did you earn above and beyond simple interest; what was the difference)? 13 You deposit $25,000 into a savings account that earns 6.000% for one year. At the end of year one, rates have changed, and now the account will earn 4.000%. What is the ending account balance at the end of year 2? 14 You make a $50,000 deposit into a saving account. It earns 3.000% the first year, 4.000% the second year, and 5.000% the third year. What is the ending account balance at the end of year 3? 15 You deposit $20,000 into a savings account that earns 5.500% for the first five years and then eams 7.500% for the next five years. What is the ending account value after 10 years? 16 You deposit $20,000 into a savings account that earns 2.500%, and each year for five years you also deposit $5,000. At the end of these five years you stop making deposits and leave the account alone for another ten years, during which time the interest rate paid on the account is 3.500%. What is the ending account value? 17 Your aunt Maude passes away and leaves you $25,000. You deposit the funds in a barik account earning 5.000% interest. You want to withdraw an annual amount each year, over 20 years, until the account falls to zero (ie, in this case your PV is $25,000 and your FV is SO). What is the annual payment they can pay you each year? 18 Your aunt Maude passes away and leaves you $25,000. You want to withdraw $2,500 each year, over 20 years, until the account falls to zero (ie. in this case your PV is $25,000 and your FV is $0). What rate of interest of you need to earn to achieve your goal? Hint: be careful to use the right signs (+4). 19 Tony Robbins Retirement Question #1: Today you deposit $10,000 and you save $6,000 every year for 40 years, in an account earning 4.000% interest. How much is the account worth at the end of year 40? 20 Tony Robbins Retirement Question #2: Today you deposit $10,000 and you save $6,000 every year for 40 years, in an account earning 4.000% interest. If your goal is to have $1,000,000 at the end of 40 years, what rate of interest must you earn? Hint: be careful to use the right signs (+/-)
