**QRB 501 Week 5 Team Assignment Financial Valuation (Time-Value of Money) Cases NEW**

**Purpose of Assignment **

**The purpose of this assignment is to provide students an opportunity to apply the concepts of time value of money covered in Ch. 13 to integrated case studies. **

**Assignment Steps**

**Resources: Financial Valuation (Time-Value of Money) Cases Excel**^{®} Template

**Save the Financial Valuation (Time-Value of Money) Cases Excel**^{®} Template to your computer.

**Read the instructions on the first tab.**

**Complete the three cases located in the template.**

**Click the Assignment Files tab to submit your assignment.**

**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?

**2. If Barry doesn’t put the money in the IRA until he is 35 years old, how much money will accumulate in the account by the time he is 60 years old using the same return of 6%? How much less will he earn because he invested 10 years later?**

**3. Barry knows that the interest rate is critical to the speed at which your investment grows. For instance, if $1 is invested at 2% compounded annually, it takes approximately 34.9 years to double. If $1 is invested at 5% compounded annually, it takes approximately 14.2 years to double. Determine how many years it takes $1 to double if invested at 10% compounded annually; at 12% compounded annually.**

**4. At what interest rate would you need to invest to have your money double in 10 years if it is compounded annually?**

**AbdolAkhim has just come from a Personal Finance class where he learned that he can determine how much his savings will be worth in the future. Abdol is completing his two-year business administration degree this semester and has been repairing computers in his spare time to pay for his tuition and books. Abdol got out his savings records and decided to apply what he had learned. He has a balance of $1,000 in a money market account at First Savings Bank, and he considers this to be an emergency fund. His instructor says that he should have 3–6 months of his total bills in an emergency fund. His bills are currently $700 a month. He also has a checking account and a regular savings account at First Savings Bank, and he will shift some of his funds from those accounts into the emergency fund. One of Abdol’s future goals is to buy a house. He wants to start another account to save the $8,000 he needs for a down payment.**

**1. How much interest will Abdol receive on $1,000 in a 365-day year if he keeps it in the money market account earning 1.00% compounded daily?**

**2. How much money must Abdol shift from his other accounts to his emergency fund to have four times his monthly bills in the account by the end of the year?**

**3. Abdol realizes he needs to earn more interest than his current money market can provide. Using annual compounding on an account that pays 5.5% interest annually, find the amount Abdol needs to invest to have the $8,000 down payment for his house in 5 years.**

**4. Is 5.5% a realistic rate for Abdol to earn in a relatively short-term investment of 5 years, particularly at his bank?**

**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.**

**1. Seth read an article in the local newspaper stating the real estate in the area had appreciated by 5% per year over the last 30 years. Assuming the article is correct, what would the future value of the $250,000 apartment be in 10 years?**

**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?**

**3. After looking at the results from questions 1 and 2, Seth realizes that a 2% return in a certiﬁcate of deposit will never allow him to reach his goal of $1 million in 10 years. Presuming his apartment will indeed be worth $400,000 in 10 years, compute the future value of Seth’s $100,000 investment using a 10%, 15%, and 20% return compounded semiannually for 10 years. Will any of these rates of return allow him to accomplish his goal of reaching $1 million by age 55?**

**4. A friend of Seth’s who is a real estate developer needs to borrow $80,000 to ﬁnish a development project. He is desperate for cash and offers Seth 18%, compounded monthly, for 2.5 years. Find the future value of the loan.**

**5. After purchasing the apartment, Seth receives a street, sewer, and gutter assessment for $12,500 due in 2 years. How much would he have to invest today in a CD paying 2%, compounded semiannually, to fully pay the assessment in 2 years?**