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Calculating the future values and WACC

by | Dec 2, 2023 | Posted Questions

Calculating the future values and WACC

Please supply the formulas for the solution only.

1. Future Value and Annuity Payments Christy and Michael are
trying to decide if they will have enough money to retire early in 15 years, at
age 60. Their current assets include $250,000 in retirement plans and $100,000
in other investments. Together, they contribute $30,000 per year to their
retirement plans and another $6,000 to other investments.

a. If their assets already in their retirement plans and
other investments grow at 9 percent per year, how much money will they have
when they turn 60?

b. After they retire, they will invest their wealth more
conservatively and it will earn 6 percent per year. What will be the amount of
money that they will be able to withdraw annually if they expect to live for 30
years in retirement?

2. Cost of Capital (WACC). Suppose your company has decided
to use a divisional WACC approach to analyze projects. The firm currently has 2
divisions, A and B, with betas for each division of 0.5 and 1.5, respectively.
If all current and future projects will be financed with half debt and half
equity, and if the current cost of equity (based on an average firm beta of 1.0
and a current risk-free rate of 5%) is 18% and the after-tax yield on the
company’s bonds is 6%, what are the WACCs for divisions A and B?

Hint: First Solve for Market Risk Premium (MRP) using the
avg. firm beta. MRP = (Km-Rf) Then plug this MRP into the other equations as
needed to figure the following:

a. Division A WACC?

b. Division B WACC?

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