04 May Financial Valuation (Time-Value of Money)
Question 1
| Barry learned in an online investment course that he should start investing as soon | |
| as possible. He had always thought that it would be smart to start investing after he | |
| finishes college and when his salary is high enough to pay the bills and to have money | |
| left over. He projects that will be 5–10 years from now. Barry wants to compare the | |
| difference between investing now and investing later. A financial advisor who spoke | |
| to Barry suggested that a Roth IRA (Individual Retirement Account) would be a good | |
| investment for him to start. | |
| 1. If Barry purchases a $2,000 Roth IRA when he is 25 years old and expects to | |
| earn an average of 6% per year compounded annually over 35 years (until he is | |
| 60), how much will accumulate in the investment? | |
| Initial Investment (PV) | |
| Quoted Rate | |
| Compounding Frequency | Choose one |
| Number of compoundings (m) | For Quarterly, type 4; for semiannually, type 2; for annually, type 1; for monthly, type 12; for daily, type 365 |
| Quoted Rate divided by m = RATE | |
| Number of Years | |
| NPER (Num. of years * m) | |
| Ending Amount (FV) |
Question 2
| At 45 years of age, Seth figured he wanted to work only 10 more years. Being a full-time landlord had a lot | |||
| of advantages: cash flow, free time, being his own boss—but it was time to start thinking toward retirement. | |||
| The real estate investments that he had made over the last 15 years had paid off handsomely. After selling a | |||
| duplex and paying the associated taxes, Seth had $350,000 in the bank and was debt-free. With only 10 years | |||
| before retirement, Seth wanted to make solid financial decisions that would limit his risk exposure. Fortunately, | |||
| he had located another property that seemed to meet his needs— a well maintained four-unit apartment. The | |||
| price tag was $250,000, well within his range, and the apartment would require no remodeling. Seth figured he | |||
| could invest the other $100,000, and between the two hoped to have $1 million to retire on by age 55. | |||
| 2. Seth’s current bank offers a 1-year certificate of deposit account paying 2% compounded semiannually. | |||
| A competitor bank is also offering 2%, but compounded daily. If Seth invests the $100,000, how much more | |||
| money will he have in the second bank after one year, due to the daily compounding? | |||
| Current Bank | Competitor Bank | ||
| Semiannually | Daily | ||
| Initial Investment (PV) | |||
| Quoted Rate | |||
| Compounding Frequency | Semiannually | Daily | Choose one |
| Number of compoundings (m) | For Quarterly, type 4; for semiannually, type 2; for annually, type 1; for monthly, type 12; for daily, type 365 | ||
| Quoted Rate divided by m = RATE | |||
| Number of Years | 1 | 1 | |
| NPER (Num. of years * m) | |||
| Ending Amount (FV) | |||
| Difference in FV | =D36-C36 |
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