The Value of $100 Today Is Worth the Same Tomorrow
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(5 points) $100 today is worth the SAME as $100 tomorrow.
(5 points) At an interest rate of 10% it is better to have $100 today than $120 in 2 years.
(5 points) Megan wants to buy a designer handbag and plans to earn the money babysitting. Suppose the interest rate is 6% and she is willing to wait one year to purchase the bag. How much babysitting money (to the nearest whole dollar) will she need to earn today to buy the bag for $400 one year from now? (Enter just the number without the $ sign or a comma) Answer for Question 3
(10 points) Johnny and Darren both earn $100 working on their respective neighbors’ big farms. Johnny puts his $100 in the piggy bank that his parents gave him to encourage him to save. Darren puts his money in a savings account his parents set up for him. The savings account pays 3% interest. They both take their money out after 5 years. How much more money does Darren have than Johnny?
(10 points) Don has just received a cash gift of $50,000 from his rich eccentric uncle. He wants to set it aside to pay for his daughter Cynthia’s college education. Cynthia will begin college in 10 years and Don’s financial advisor says that she can earn 7% interest on an investment in a special college fund. How much will Don have in the fund when Cynthia begins college? (Enter just the number without the $ sign or a comma; round to the nearest whole dollar.) Answer for Question 5
(10 points) Bridgette’s grandparents opened a savings account for her and placed $500 in the account. The account pays 3.5% interest. Bridgette wants to be a singer and she has her heart set on a new karaoke machine. The machine costs $150. How much less will the account be worth in 8 years if she buys the karaoke machine now versus leaving the account untouched? (Enter just the number without the $ sign or a comma; round to the nearest whole dollar.) Answer for Question 6
(10 points) The Johnson family is worried about their ability to pay college tuition for their daughter Chloe. Tuition rates are currently $9,500 per year at the state college and have been increasing at a rate of 7% annually. Chloe will begin college in 7 years. The Johnson’s have $9,500 set aside now in a college plan that will earn 6% per year. They recently heard about a plan to pre-pay tuition at current rates, that is pay $9,500 per year of college. Should they pre-pay Chloe’s first year now or keep the money invested and pay the tuition 7 years from now? How much are they saving in FV terms with this decision?
Don’t Pre-pay; 781
Don’t Pre-pay; 685
Don’t Pre-pay; 970
(15 points) Ralph knows that he is going to have to replace his roof soon. If he has the roof replaced now, it will cost $10,000. He could wait 5 years, but it will then cost him $20,000. At what rate will these options cost the same. (Hint: This is also known as the break-even point. Exact calculation up to two decimals is not difficult. If stuck, trial and error will help. (No more than two decimals in the percentage interest rate but do not enter the % sign.) Answer for Question 8
(15 points) Rondo is in the market for a new car. He has narrowed his search down to 2 models. Model A costs $32,000 and Model B costs $28,000. With both cars he plans to pay cash and own them for 4 years before trading in for a new car. His research indicates that the trade in value for Model A after 4 years is 60% of the initial purchase price, while the trade in value for Model B is 45%. The interest rate is 5%. For simplicity assume that operating and maintenance costs for the models are identical. Which model is the better decision and how much “cheaper” is it than the alternative?
Model A; 1430
Model B; 1430
Model A; 4000
Model A; 1257
Model B; 1207
Model B; 4000
(15 points) Christine is a new homebuyer. She wants to make sure that she incorporates the cost of maintenance into her decision. She estimates that routine repairs and maintenance on the home she is considering will be $1,590 in the first year (one year from now). Due to the increasing age of the home, she expects that maintenance costs will increase 6% annually. The interest rate is 5%. If she plans to be in the home for 10 years, what is the present value of all future maintenance? (Note that maintenance costs will change annually, and starts one year from now and she plans to do the last one before selling her house.)