Question

Problems with IRR Suppose you are offered $£ 5,000$ today but must make the following payments: $$ \begin{array}{|l|r|} \hline \text { Year } & \text { Cash Flows (£) } \\ \hline 0 & 5,000 \\ 1 & -2,500 \\ \hline 2 & -2,000 \\ \hline 3 & -1,000 \\ \hline 4 & -1,000 \\ \hline \end{array} $$ (a) What is the IRR of this offer? (b) If the appropriate discount rate is 10 per cent, should you accept this offer? (c) If the appropriate discount rate is 20 per cent, should you accept this offer? (d) What is the NPV of the offer if the appropriate discount rate is 10 per cent? 20 per cent? (e) Are the decisions under the NPV rule in part (d) consistent with those of the IRR rule?

   Problems with IRR Suppose you are offered $£ 5,000$ today but must make the following payments:
$$
\begin{array}{|l|r|}
\hline \text { Year } & \text { Cash Flows (£) } \\
\hline 0 & 5,000 \\
1 & -2,500 \\
\hline 2 & -2,000 \\
\hline 3 & -1,000 \\
\hline 4 & -1,000 \\
\hline
\end{array}
$$
(a) What is the IRR of this offer?
(b) If the appropriate discount rate is 10 per cent, should you accept this offer?
(c) If the appropriate discount rate is 20 per cent, should you accept this offer?
(d) What is the NPV of the offer if the appropriate discount rate is 10 per cent? 20 per cent?
(e) Are the decisions under the NPV rule in part (d) consistent with those of the IRR rule?
Show more…
Corporate Finance, 4e
Corporate Finance, 4e
David Hillier;… 4th Edition
Chapter 6, Problem 21 ↓

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Step 1

To calculate the IRR, we need to find the discount rate that makes the present value of the cash flows equal to the initial investment. We can use a financial calculator or spreadsheet to find the IRR, which in this case is approximately 15.6%.  Show more…

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Problems with IRR Suppose you are offered $£ 5,000$ today but must make the following payments: $$ \begin{array}{|l|r|} \hline \text { Year } & \text { Cash Flows (£) } \\ \hline 0 & 5,000 \\ 1 & -2,500 \\ \hline 2 & -2,000 \\ \hline 3 & -1,000 \\ \hline 4 & -1,000 \\ \hline \end{array} $$ (a) What is the IRR of this offer? (b) If the appropriate discount rate is 10 per cent, should you accept this offer? (c) If the appropriate discount rate is 20 per cent, should you accept this offer? (d) What is the NPV of the offer if the appropriate discount rate is 10 per cent? 20 per cent? (e) Are the decisions under the NPV rule in part (d) consistent with those of the IRR rule?
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