1. You have $10k that you can deposit into a savings account for five years. Bank A pays compounds interest twice a year, Bank B quarterly, and Bank C continuously. Each bank has a stated interest rate of 4 percent. Which bank would you choose if you leave all the interest paid on the deposit in each bank?
2. You want to open a coffee shop in 3 years, and you need the initial capital of $20k. You invest your money in Robinhood and If you can earn an annual rate of 6.5%, compounded daily, on your investment, what should you pay for this investment today? What amount you need to pay if the interest rate is compounded continuously or monthly?
3. Your biography sold 500 copies in its first year. The publishing company expects the sales to grow at a rate of 20 percent each year for the next three years and by 10 percent in the fourth year. Calculate the total number of copies that the publisher expects to sell in years 3 and 4.
4. You decide to take advantage of the current online dating craze and start your own web site. You now have 1000 people signed up. If the membership can grow by 6 percent annually, how long will it be before the number of customers doubles? Use the rule of 72.
5. You are an NFL star as famous as Patrick Mahomes. Your agent is evaluating two contract options. Each option offers a signing bonus and a series of payments over the life of the contract. You use a 10 percent rate of return to evaluate the contracts. Given the cash flows for each option, which one should you choose?
Year
0 1 2 3
Cash Flow Type
Option A
Option B
Signing Bonus
Annual Salary
Annual Salary
Annual Salary
to save up for a trip to Mount Everest in 5 years, and you need $10k
6. You are planning
when you are ready to make the trip. You plan to invest the same amount at the end of each of the next 5 years in an account paying 6 percent. What is the amount you will have to save every year to reach your goal of $10k in 5 years? What is the amount you have to save if you invest at the beginning of each year?
7. You plan for the wonderful post-retirement life. You would like to ensure that you will receive payments of $10,000 a year forever, starting when you retire. If you can earn 6 percent annually, how much do you need to invest to produce the desired cash flow? How much you need to invest if the subsequent payments after the first one will grow at a rate of 3.4 percent annually?
8. You bought a Tesla Model S for $105,000. You put down $50,000 and financed the rest through the dealer at an APR of 4.9 percent for 3 years. What is the effective annual interest rate (EAR) if the loan payments are made monthly? What is the monthly payment?
$3,500,000 $ 950,000 $ 850,000 $ 750,000
$3,800,000 $ 650,000 $ 750,000 $ 850,000
1. You have $10k that you can deposit into a savings account for five years. Ban
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