Problem Set 1

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University of Texas, Dallas *

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3320

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Finance

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May 5, 2024

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docx

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FIN 3320: Business Finance Problem Set 1 Group Members: Please list all group members and submit only one solution for the group. Please show all you work (write down initial formulas, not just what you typed into your calculator). 1. You are planning on buying a car and see that Toyota is advertising a promotional borrowing rate on a Toyota Prius. You can pay cash to purchase the Prius for $24,625 or pay $2,000 up front and the remaining balance in 2 years. You will be charged a monthly interest rate of 0.25%. Elsewhere (such as your bank account) borrowing and lending is done at a rate of .5% per month. a. What is the true economic cost of purchasing the Prius if you pay all cash upfront? b. If you were to accept the financing, how much money would you owe Toyota in 2 years? c. What is the true cost in today’s dollars if you accept Toyota’s financing? d. Should you borrow from Toyota to purchase the car?
2. You plan to buy the new iPhone when it is released 6 months from now. You believe it will sell for $999 dollars. You know that you will need to cut back on other expenditures to ensure you have the money ready upon release and decide to start skipping some of your daily Starbucks purchases to afford the new phone. Your usual Starbucks order costs $5. The money you save will earn an interest rate of .5% a month. How many Starbucks coffees each month do you need to sacrifice in order to have saved the $999 for your new phone?
3. You are considering installing new windows into your home which are more energy efficient. You estimate that the windows will save you $100 dollars a month in energy costs over the next 15 years. It will cost $15,000 to replace the windows. You can borrow or save at a monthly rate of .25%. a. If you were only considering the heating costs (not the environment or aesthetics), should you replace the windows? b. Now imagine you are able to borrow and save at a monthly rate of .1%. Should you replace the windows? c. Explain why the decision to buy the windows changes when the interest rate is lower.
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