Question: Consider a project with free cash flows in one year of $90,000 in a weak economy or $117,000 in a strong economy, with each outcome

Consider a project with free cash flows in one year of $90,000 in a weak economy or $117,000 in a strong economy, with each outcome being equally likely. The initial investment required for the project is $80,000, and the project's cost of capital is 15%. The risk-free interest rate is 5%.

12) Two separate firms are considering investing in this project. Firm Unlevered plans to fund the entire $80,000 investment using equity, while Firm Levered plans to borrow $45,000 at the risk-free rate of 5% and use equity to finance the remainder of the initial investment. Construct a table detailing the percentage returns to the equity holders of both the levered and unlevered firms for both the weak and strong economy.

Answer:

Initial Value

C/F Strong Economy

C/F Weak Economy

Returns Strong Economy

Returns Weak Economy

Debt

$45,000

$ 47,250

$47,250

Levered Equity

$45,000

$ 69,750

$42,750

Unlevered Equity

$90,000

$117,000

$90,000

PV(equity cash flows) =

C/F (weak economy) =

C/F (strong economy) =

Returns =

Expected Return

13) Two separate firms are considering investing in this project. Firm Unlevered plans to fund the entire $80,000 investment using equity, while Firm Levered plans to borrow $45,000 at the risk-free rate and use equity to finance the remainder of the initial investment. Calculate the expected returns for both the levered and unlevered firm.

Answer:

Initial Value

C/F Strong Economy

C/F Weak Economy

Returns Strong Economy

Returns Weak Economy

Expected Return

Debt

$45,000

$ 47,250

$47,250

Levered Equity

$45,000

$ 69,750

$42,750

Unlevered Equity

$90,000

$117,000

$90,000

PV(equity cash flows) =

C/F (weak economy) =

C/F (strong economy) =

Returns =

Expected return =

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