What is the price of a 10-year coupon bond paying 6


Question 1A

i) What is the price of a 10-year coupon bond paying 6% annually with a current yield-to-maturity of 5 % and a face value of $1,000?

ii) How would your answer change if the yield was 6 %?

Question 1B

i) Calculate the present value of an investment product that promises to pay out a dividend of $500 next year. In the following years (up until, and including year 10) the dividends are expected to grow by 5 % annually. At the end of the 10th year the investment product will be liquidated and the proceeds are paid back to the investor. The liquidation value (in year 10) is expected to be $25,855.47. Assume a discount rate of 3 % per year.

ii) How would your answer change if, instead of liquidating in year 10, the investment product promises to pay a yearly dividend equal to that in year 10 forever?

Question 1C

In 2015 Starbucks Corp reported a dividend of 0.68 USD. The 14 analysts covering the company expect Starbucks to pay a dividend of $0.80 in 2016, and $0.94 in 2017. In 2018, 2019 and 2020 analysts expect the dividend growth to slow, with yearly dividends of $1.05, $1.14, and $1.18 in each of the three years respectively. In 2021 and beyond, the dividends are expected to remain constant at $1.18. Suppose that the discount rate for Starbucks is 5.31 %. What is the value of Starbucks?

Question 2: Starbucks valuation

The balance sheet and income statement for Starbucks is provided below. Assume that 2 % of cash and cash equivalents are used in operations. Based on this information,

A) Calculate the FCFF in the year 2014.

B) Calculate the FCFE in the year 2014.

Assume that growth in FCFE and FCFF is 2.0 % every year starting in 2015. Suppose that the cost of capital is 5 % and the cost of equity is 5.5 %. The number of shares outstanding is 1,480,000,000.

C) Calculate the value of the firm, the value of the equity, and the value of each share using the FCFF approach

D) Calculate the value of the equity using the FCFE approach.

Balance sheet for Starbucks (all numbers in 1000s)

Current Assets

2013

2014

Current Liabilities

2013

2014

Cash and cash equivalents

2,575,700

1,708,400

Accounts payables

1,939,500

2,244,200

 

Short-term investments

 

658,100

 

135,400

Interest bearing debt

 

0

 

0

Acct. receivables

838,700

948,400

Other current liab.

3,437,800

794,500

Inventory

1,111,200

1,090,900

 

 

 

Other assets

287,700

285,600

 

 

 

Non-Current Assets

 

 

Non-Current Liabilities

 

 

Long Term Investments

554,800

833,300

Long-term debt

1,299,400

2,048,300

Property Plant and Equipment

 

3,200,500

 

3,519,000

Other non-current liabilities

 

359,800

 

393,900

Goodwill

862,900

856,200

 

 

 

Intangible Assets

274,800

273,500

 

 

 

Accumulated Amortization

 

0

 

0

 

 

 

Other Assets

185,300

198,900

Common Equity

 

 

Deferred Long Term Asset Charges

 

967,000

 

903,300

 

Common stock

 

349,900

 

65,400

 

 

 

Retained earnings

4,130,300

5,206,600

 

Total Assets

 

11,516,700

 

10,752,900

Total Liabilities and Equity

 

11,516,700

 

10,752,900

Income statement (all numbers in 1000s)

OPERATING SECTION

        2013                            

2014             

+

Revenue

14,866,800

16,447,800

-

Cost of Sales

6,382,300

6,858,800

=

Gross Profit

8,484,500

9,589,000

-

Selling, General and Admin. Costs

5,655,800

6,086,800

-

Research and Development

0

0

-

Other expenses

3,154,100

421,100

=

Operating Profit (EBIT)

-325,400

3,081,100

NON-OPERATING SECTION

+

Investment Income

123,600

142,700

CREDITOR'S SECTION

-

Interest Expense

28,100

64,100

=

Profit/Earnings Before Tax (EBT)

-229,900

3,159,700

OWNER'S SECTION

-

Taxes, Current

-238,200

1,091,600

=

Net Income

8,300

2,068,100

Excerpt from the cash-flow statement (all numbers in 1000s)

 

2013

2014

Operating Activities, Cash Flows Provided By or Used In

Depreciation

655,600

748,400

Investing Activities, Cash Flows Provided By or Used In

Capital Expenditures

-1,151,200

-1,160,900

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