# financial management

Assume that you are nearing graduation and have applied for a job with a local bank. As part of the bank’s evaluation process, you have been asked to take an examination that covers several financial analysis techniques. The first section of the test addresses discounted cash flow analysis. See how you would do by answering the following questions.

• a. Draw time lines for (1) a \$100 lump sum cash flow at the end of Year 2, (2) an ordinary annuity of \$100 per year for 3 years, and (3) an uneven cash flow stream of –\$50, \$100, \$75, and \$50 at the end of Years 0 through 3.
• b. 1.
• c. We sometimes need to find out how long it will take a sum of money (or anything else) to grow to some specified amount. For example, if a company’s sales are growing at a rate of 20% per year, how long will it take sales to double?
• d. If you want an investment to double in 3 years, what interest rate must it earn?
• e. What’s the difference between an ordinary annuity and an annuity due? What type of annuity is shown below? How would you change the time line to show the other type of annuity?
• f. 1.
• g. What is the present value of the following uneven cash flow stream? The appropriate interest rate is 10%, compounded annually.
• h. 1.
• i. Will the effective annual rate ever be equal to the nominal (quoted) rate?
• j. 1.
• k. Suppose that on January 1 you deposit \$100 in an account that pays a nominal (or quoted) interest rate of 11.33463%, with interest added (compounded) daily. How much will you have in your account on October 1, or 9 months later?
• l. 1.
• m. Suppose someone offered to sell you a note calling for the payment of \$1,000 in 15 months. They offer to sell it to you for \$850. You have \$850 in a bank time deposit that pays a 6.76649% nominal rate with daily compounding, which is a 7% effective annual interest rate, and you plan to leave the money in the bank unless you buy the note. The note is not risky—you are sure it will be paid on schedule. Should you buy the note? Check the decision in three ways: (1) by comparing your future value if you buy the note versus leaving your money in the bank; (2) by comparing the PV of the note with your current bank account; and (3) by comparing the EFF% on the note with that of the bank account.
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