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1a Bonds Book Value Book Value Weight 1. $3 B 2. $1 B 3. $2 B 4. $2 B Weighted A

ID: 2787503 • Letter: 1

Question

1a

Bonds

Book Value

Book Value Weight

1.

$3 B

2.

$1 B

3.

$2 B

4.

$2 B

Weighted Average Cost of Debt (based on book values)

Weighted Average Cost of Debt (based on market values)

Which is more appropriate?

1b

Weighted Average Cost of Capital (based on book values of debt and equity) – show calculations

Weighted Average Cost of Capital (based on Market values of debt and equity) – show calculations

Which is more relevant?

1c

Any potential problems with this pure play approach?

What improvements do you suggest to better reflect the WACC of SMI?

Book Value of Equity

                   $4,711,480

Stock Price

310.11

Market Value of Equity (market Capitalization)

52.119B

Number of Shares Outstanding

168.07M

Stock Beta

0.73

3-month T-bill rate

1.06

Cost of Equity

6.17%

Debt

1a

Bonds

Book Value

Book Value Weight

1.

$3 B

2.

$1 B

3.

$2 B

4.

$2 B

Weighted Average Cost of Debt (based on book values)

Weighted Average Cost of Debt (based on market values)

Which is more appropriate?

1b

Weighted Average Cost of Capital (based on book values of debt and equity) – show calculations

Weighted Average Cost of Capital (based on Market values of debt and equity) – show calculations

Which is more relevant?

1c

Any potential problems with this pure play approach?

What improvements do you suggest to better reflect the WACC of SMI?

Explanation / Answer

In order to calculate weights, we need to sum up the values and different each value by the total

For Book Value, Total = 3 + 1 + 2 + 2 = $8 B

Book Weight of Bond 1 = 3 / 8 = 37.50% and so on for other bonds

For Market Value, Total = 2.6 + 0.92 + 2.14 + 1.86 = 7.52

Market Weight of Bond 1 = 2.6 / 7.52 = 34.57% and so on..

Weighted average cost of debt using book value

= 37.50% x 4.35% + 12.50% x 3.92% + 25% x 2.25% + 25% x 2.86%

= 3.40%

Weighted average cost of debt using market value

= 34.57% x 4.35% + 12.23% x 3.92% + 28.46% x 2.25% + 24.73% x 2.86%

= 3.33%

The market values are more appropriate than the book values.

Bonds Book Value Weight Market Value Weight YTM 1 3 37.50% 2.6 34.57% 4.35% 2 1 12.50% 0.92 12.23% 3.92% 3 2 25.00% 2.14 28.46% 2.25% 4 2 25.00% 1.86 24.73% 2.86% Total 8 3.40% 7.52 3.33%
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