EBK INVESTMENTS
EBK INVESTMENTS
11th Edition
ISBN: 9781259357480
Author: Bodie
Publisher: MCGRAW HILL BOOK COMPANY
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Chapter 24, Problem 11CP
Summary Introduction

To calculate: Time-weighted and dollar-weighted return rates.

Introduction: The weighted return is as the internal return. The IRR is defined at rate in which all cash flow is zero.

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1. A pension fund portfolio begins with $500,000 and earns 15% the first year and 10% the second year. At the beginning of the second year, the sponsor contributes another $500,000. What were the time-weighted and dollar-weighted rates of return?
What is the equivalent average annual effective rate of interest over 5-year period if the fund earns d^{(4)} = 4% for the initial 1 year, d^{(12)} = 6% for the next 2 years, and i^{(6)} = 9% in the last 2 years?
A pension fund is expected to produce a cash flow of $1,000 at the end of the upcoming year. This cash flow will grow at a rate of 10% for five years and then at the rate of 7% indefinitely. Assume the annual interest rate for pension-related investments is 12%. 1) What is the value of the pension fund?
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