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Fundamentals of Financial Manageme...

14th Edition
Eugene F. Brigham + 1 other
ISBN: 9781285867977

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BuyFindarrow_forward

Fundamentals of Financial Manageme...

14th Edition
Eugene F. Brigham + 1 other
ISBN: 9781285867977
Textbook Problem

MIRR A project has the following cash flows:

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This project requires two outflows at Years 0 and 2, but the remaining cash flows are positive. Its WACC is 10%, and its MIRR is 14.14%. What is the Year 2 cash outflow?

Summary Introduction

To compute: The Year 2 cash outflow.

Introduction:

Modified Internal Rate of Return (MIRR): It refers to the rate of return that is computed by the company to make a decision of selection and ranking of a project for investment. This is a modified version of IRR with reinvestment of cash flows at the cost of capital.

Explanation

Given information:

Initial investment of project is $500.

Cash inflow at the end of year 1 is $202.

Cash inflow at the end of year 3 is $196.

Cash inflow at the end of year 4 is $350.

Cash flow at the end of year 5 is $451.

WACC of the project is 10%.

MIRR of the project is 14.14%.

Terminal value is $1,369 (working note).

The formula to calculate MIRR is,

MIRR=(TerminalValuePresentValue Costs)1N1

Where,

  • N is the number of years.

Substitute $1,369 for terminal value, 14.14% for MIRR, ($500+$X) for present value costs and 5 for N in the above formula.

0.1414=($1,369($500+$X))151(1.1414)5=($1,369$500+$X)1.9373=$1,369$500+$X$500+$X=$706

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