# FIN 300 Study Guide - Final Guide: Standard Deviation, Profit Margin, Weighted Arithmetic Mean

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Assume that you have $1,000 to invest, so insert 1000 as your Present Value in the following table. Assume that you want to invest your money for 5 years (insert 5 for Number of Periods). Assume an annual interest rate of 3.00% (insert 3 for Interest Rate per Period). The table will determine the Future Value of your investment. If you input the numbers correctly, your Future Value is computed to be $1.159, which is what your investment will be worth in 5 years. Now revise the input to reflect your actual savings and the prevailing interest rate so that you can see how your savings will grow in 5 years. Even if you have no savings now, you can at least see how the interest rate affects the future value of savings by revising your input in the Interest Rate per Period and then observing the change in the Future Value. Future Value of a Present Amount Present Value $1,500 Number of Periods 5 Interest Rate per Period 3.0% FV = PV*(1+R)^N Future Value $1,739 2. Assume that you have $1,000 to invest at the end of each of the next 5 years, so insert 1000 as your Payment per Period in the following table. Assume that you want to invest your money for 5 years (insert 5 for Number of Periods). Assume an annual interest rate of 3.00% (insert 3 for Interest Rate per Period). The following table will determine the Future Value of your investment. If you input the numbers correctly, your Future Value is computed to be $5,309, which is what your investments will be worth in 5 years. Now revise the input to reflect your actual expected savings per year over the next 5 years, and existing interest rate quotations so that you can estimate how your savings will grow in 5 years. You can now revise the table to fit your own desired level of saving. Future Value of an Annuity Payment per Period $1,500 Number of Periods 5 Interest Rate per Period 3.0% FV = FV(R, N, PMT, (PV), beginning=1, end=0) Future Value $7,964 3. Assume that you want to deposit savings that will be worth $10,000 in 5 years, so insert 10000 as the Future Amount and 5 as the Number of Periods in the following table. Assume an annual interest rate of 3.00% (insert 3 for Interest Rate per Period). The following table will determine the Present Value, which represents the amount of savings you need today that would accumulate to be worth $10,000 in 5 years. If you input the numbers correctly, the Present Value is estimated in the table to be $8,606. Now revise the input to reflect your own desired savings amount in 5 years so that you can estimate how much you need now to achieve your savings goal in 5 years. Present Value of a Future Amount Future Amount $20,000 Number of Periods 5 Interest Rate per Period 3.0% PV = FV / (1+R)^N Present Value $17,252 4. Assume that you want to deposit savings at the end of each of the next 5 years so that you will have $10,000 in 5 years. So insert 10000 as the Future Amount and 5 for Number of Periods. Assume an annual interest rate of 3.00% (insert 3 for Interest Rate per Period). The following table will determine the Annual Payment, which represents the annual payments that will accumulate to your future desired investment. If you input the numbers correctly, your Annual Payment is computed to be $1,884. Now revise the input to reflect your own desired savings amount in 5 years so that you can estimate how much you need to save per year to achieve your savings goal in 5 years. Compute Payment Needed to Achieve Future Amount Future Amount $20,000.00 Number of Periods 5.00 Interest Rate per Period 3.00% PMT = FV / [FV(R, N, -1)] Annual Payment $3,767

Decisions 1. Using the above formulas and understanding of the impact of interest rates and time on your savings, report on how much you must save per year and the return you must earn to meet your savings goal for graduation, and your savings goal in your first three years of post-graduation life.

I need a report on how much to save per year and the return to earn to meet savings goal for graduation, and savings goal in the first three years of post graduation. Can you please use the numbers above that are already calculated in the formula. I have had an answer on this below. I don't understand why the periods don't stay the same for 5 years. The annuity is 7964 I took that divided b y 60 = 132.7 per month and multiplied it by 12 for a year and got 1592.4. Is that the savings for the answer to saving for a year. IF not I need help figuring out the calculation for the return to meet after gradutaion and the next three years post graduation.

Goal 1 | Savings Goal for graduation, FV | $ 20,000 | |||||

Time till graduation (Number of periods) | 5 | ||||||

Present value of savings | $ - | ||||||

Expected interest rates | 3% | ||||||

Savings needed per year, PMT | $3,767.09 | =PMT(3%,5,0,20000,) | |||||

Goal 2 | Savings Goal for 1st year of post graduation, FV | $ 15,000 | |||||

Time till post graduation year 1 (Number of periods) | 6 | ||||||

Present value of savings | $ - | ||||||

Expected interest rates | 3% | ||||||

Savings needed per year, PMT | $2,318.96 | =PMT(3%,6,0,15000,) | |||||

Goal 3 | Savings Goal for 2nd year of post graduation, FV | $ 15,300 | |||||

Time till post graduation year 1 (Number of periods) | 7 | ||||||

Present value of savings | $ - | ||||||

Expected interest rates | 3% | ||||||

Savings needed per year, PMT | $1,996.75 | =PMT(3%,7,0,15300,) | |||||

Goal 4 | Savings Goal for 3rd year of post graduation, FV | $ 15,606 | |||||

Time till post graduation year 1 (Number of periods) | 8 | ||||||

Present value of savings | $ - | ||||||

Expected interest rates | 3% | ||||||

Savings needed per year, PMT | $1,754.99 | =PMT(3%,8,0,15606,) |

You are proposing a new venture, to branch out into animals and cartoon characters but this will require some new equipment and a capital outlay. Pertinent financial information is given below.

BALANCE SHEET

Cash | 2,000,000 | Accounts Payable and Accruals | 18,000,000 |

Accounts Receivable | 28,000,000 | Notes Payable | 40,000,000 |

Inventories | 42,000,000 | Long-Term Debt | 60,000,000 |

Preferred Stock | 10,000,000 | ||

Net Fixed Assets | 133,000,000 | Common Equity | 77,000,000 |

Total Assets | 205,000,000 | Total Claims | 205,000,000 |

ï¿½ Last yearï¿½s sales were $225,000,000.

ï¿½ The company has 60,000 bonds with a 30-year life outstanding, with 15 years until maturity. The bonds carry a 10 percent annual coupon, and are currently selling for $874.78.

ï¿½ You also have 100,000 shares of $100 par, 9% dividend perpetual preferred stock outstanding. The current market price is $90.00. Any new issues of preferred stock would incur a $3.00 per share flotation cost.

ï¿½ The company has 10 million shares of common stock outstanding with a currently price of $14.00 per share. The stock exhibits a constant growth rate of 10 percent. The last dividend (D_{0}) was $.80. New stock could be sold with 15% flotation costs.

ï¿½ The risk-free rate is currently 6 percent, and the rate of return on the stock market as a whole is 14 percent. Your stockï¿½s beta is 1.22.

ï¿½ Stockholders require a risk premium of 5 percent above the return on the firms bonds.

ï¿½ The firm expects to have additional retained earnings of $10 million in the coming year, and expects depreciation expenses of $35 million.

ï¿½ Your firm does not use notes payable for long-term financing.

ï¿½ The firm considers its current **market value** capital structure to be optimal, and wishes to maintain that structure. (Hint: Examine the market value of the firmï¿½s capital structure, rather than its book value.)

ï¿½ The firm is currently using its assets at capacity.

ï¿½ The firmï¿½s management requires a 2 percent adjustment to the cost of capital for risky projects.

ï¿½ Your firmï¿½s federal + state marginal tax rate is 40%.

ï¿½ Your firmï¿½s dividend payout ratio is 50 percent, and net profit margin was 8.89 percent.

ï¿½ The firm has the following investment opportunities currently available in addition to the expansion you are proposing:

Project | Cost | IRR |

A | 10,000,000 | 20% |

B | 20,000,000 | 18% |

C | 15,000,000 | 14% |

D | 30,000,000 | 12% |

E | 25,000,000 | 10% |

Your expansion would consist of a new product introduction (You should label your venture as Project I, for ï¿½introductionï¿½). You estimate that your product will have a six-year life span (after all how many people will really buy this stuff), and the equipment used to manufacture the project falls into the MACRS 5-year class. Your venture would require a capital investment of $15,000,000 in equipment, plus $2,000,000 in installation costs. The venture would also result in an increase in accounts receivable and inventories of $4,000,000. At the end of the six-year life span of the venture, you estimate that the equipment could be sold at a $4,000,000 salvage value.

Your venture, which management considers fairly risky, would increase fixed costs by a constant $1,000,000 per year, while the variable costs of the venture would equal 30 percent of revenues. You are projecting that revenues generated by the project would equal $5,000,000 in year 1, $10,000,000 in year 2, $14,000,000 in year 3, $16,000,000 in year 4, $12,000,000 in year 5, and $8,000,000 in year 6.

The following list of steps provides a structure that you should use in analyzing your new venture.

**Note: Carry all final calculations to two decimal places.**

Find the WACC:

**1. ** Find the costs (rate of return under current market conditions) of the individual capital components:

a. long-term debt (**Hint:** PV=-$874.78, FV = $1000, PMT=$100, n=15 solve for i)

b. preferred stock

c. retained earnings (avg. of CAPM and bond yield + risk premium approaches)

d. new common stock

**2. ** Compute the value of the long-term elements of the capital structure, and determine the target percentages for the optimal capital structure. (Carry weights to four decimal places. For example: 0.2973 or 29.73%)

Find the Cash Flow from the project:

**3. ** Compute the Year 0 investment for Project I.

**4. ** Compute the annual operating cash flows for years 1-6 of the project.

**5. ** Compute the additional non-operating cash flow at the end of year 6.

Find alternative capital budgeting measures:

**6. ** Compute the IRR and payback period for Project I.

**7. ** Determine your firmï¿½s cost of capital. **(Hint** this is the WACC plus an adjustment from the write up**)**

Make Some Decisions:

**8. ** Compute the NPV for Project I. Should management adopt this project based on your analysis? Explain. Would your answer be different if the project were determined to be of average risk? Explain.

**9. ** Indicate which of the other projects (A through E) should be accepted and why.