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Pre and Post acquistion calculations

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I need to see intermediate steps and formulas.

Teddy Bear Planet, Inc., is considering the acquisition of Sesame Street Co. The professionals from Goldman Sachs hired by Teddy Bear figured out that under the proposed plan, the IRR for this acquisition project is 15%. Moreover, assume the basic IRR rule applies here. The T-bill rate is 5%, and the market risk premium is 10%. The tax rate for Sesame Street is 35%

Before acquisition: The Sesame Street equity Beta is 1.16, The Sesame Street also has the following market-value balance sheet:
Cash: $150,000
Non-cash assets: $50,000
Debt: $100,000
Equity: $100,000

After acquisition: The Teddy Bear will propose an immediate debt retirement plan under which $90,000 cash is used to reduce debt by $90,000.
(a) What is the Sesame Street's pre-acquisition cost of equity?
(b) What is Sesame Street's unlevered equity Beta?
(c) What is Sesame Street's equity Beta after acquisition?
(d) What is the Sesame Street's post-acquisition cost of equity?
(e) Under the proposed acquisition plan, is this acquisition a positive NPV project?

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Solution Summary

The solutione explains how to calculate the cost of equity before and after acquisition and if the acquisiton is NPV positive.

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(a) What is the Sesame Street's pre-acquisition cost of equity?

Using the CAPM equation, the cost of equity is
Cost of Equity = Rf + (Rm-Rf) X beta
Rf = T-Bill Rate = 5%
(Rm-Rf) = Market Risk Premium = 10%
Beta = 1.16
Cost of equity = 5% + 10%X1.16 = 16.6%

(b) What is Sesame Street's unlevered equity Beta?

The current equity beta is the levered beta based on the given debt-equity ...

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