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What is the price per share at which IWD represents a zero net present valueinvestment to ORG?

Question

What is the price per share at which IWD represents a zero net present value investment to ORG?

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Solution

To determine the price per share at which IWD represents a zero net present value (NPV) investment to ORG, we'll follow these steps:

1. Break Down the Problem

  • Identify the cash flows associated with the investment.
  • Determine the discount rate.
  • Calculate the present value of cash flows.
  • Set the NPV equation to zero and solve for the price per share.

2. Relevant Concepts

The NPV of an investment is calculated using the formula: NPV=Ct(1+r)tInitialInvestment NPV = \sum \frac{C_t}{(1 + r)^t} - Initial \, Investment where:

  • CtC_t = cash flow at time tt
  • rr = discount rate
  • tt = time period

For the NPV to equal zero: 0=Ct(1+r)tPN 0 = \sum \frac{C_t}{(1 + r)^t} - P \cdot N where PP is the price per share and NN is the number of shares.

3. Analysis and Detail

  • Determine cash flows CtC_t from IWD.
  • Choose an appropriate discount rate rr for ORG.
  • Calculate the present value of the cash flows.

Assuming we have the necessary cash flow data and the discount rate, we substitute the values into the NPV equation to solve for PP.

4. Verify and Summarize

  • After calculating PP, ensure it makes sense in the context of the investment’s cash flows.
  • Verify that the calculated present values add up to the initial investment amount.

Final Answer

The price per share PP can then be computed once we have the specific cash flows and appropriate discount rates. If you provide more details on the cash flows or discount rates, I can assist you further in deriving the exact price per share that results in zero NPV.

This problem has been solved

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