INVESTMENTS-CONNECT PLUS ACCESS
11th Edition
ISBN: 2810022611546
Author: Bodie
Publisher: MCG
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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
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Using a discount rate of 5.5% compounded annually, a pension fund estimates that the present value of its assets and liabilities are $7 million and $4
million, respectively. The duration of the assets is 11 years and the duration of the liabilities is 27 years.
(a) Suppose that the interest rate decreases to 5.45%. Estimate the relative changes in the fund's assets and liabilities. Express yours answers as
percentages, to the nearest basis point.
Relative Change in Assets
%
Relative Change in Liabilities
%
(b) Using your rounded answers from (a), estimate the absolute changes in the fund's assets and liabilities. Express your answers in millions of dollars, to
the nearest thousand.
Absolute Change in Assets $
million
Absolute Change in Liabilities s $
million
(c) The fund's net worth is defined as the difference between its assets and liabilities. Using your answers from (b), estimate the relative change in the
fund's net worth. Express your answer as a percent, to the nearest basis…
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?
7. Impacts of Costs on Returns. A mutual fund has a 1.69% expense ratio and begins with a $124.655 NAV. It experiences the annual returns shown below. What are the end-of-year NAVs after fees for each year? What are the after-fee returns each year?
Chapter 24 Solutions
INVESTMENTS-CONNECT PLUS ACCESS
Ch. 24 - Prob. 1PSCh. 24 - Prob. 2PSCh. 24 - Prob. 3PSCh. 24 - Prob. 4PSCh. 24 - Prob. 5PSCh. 24 - Prob. 6PSCh. 24 - Prob. 7PSCh. 24 - Prob. 8PSCh. 24 - Prob. 9PSCh. 24 - Prob. 10PS
Ch. 24 - Prob. 11PSCh. 24 - Prob. 12PSCh. 24 - Prob. 13PSCh. 24 - Prob. 14PSCh. 24 - Prob. 15PSCh. 24 - Prob. 16PSCh. 24 - Prob. 17PSCh. 24 - Prob. 18PSCh. 24 - Prob. 19PSCh. 24 - Prob. 20PSCh. 24 - Prob. 21PSCh. 24 - Prob. 22PSCh. 24 - Prob. 1CPCh. 24 - Prob. 2CPCh. 24 - Prob. 3CPCh. 24 - Prob. 4CPCh. 24 - Prob. 5CPCh. 24 - Prob. 6CPCh. 24 - Prob. 7CPCh. 24 - Prob. 8CPCh. 24 - Prob. 9CPCh. 24 - Prob. 10CPCh. 24 - Prob. 11CPCh. 24 - Prob. 12CPCh. 24 - Prob. 13CPCh. 24 - Prob. 14CP
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- 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?arrow_forwardCorporate Fund started the year with a net asset value of $12.50. By year-end, its NAV equaled $12.10. The fund paid year-end distributions of income and capital gains of $1.50. What was the (pretax) rate of return to an investor in the fund?arrow_forwardCorporate Fund started the year with a net asset value of $17.80. By year - end, its NAV equaled $16.30. The fund paid year - end distributions of income and capital gains of $2.20. What was the (pretax) rate of return to an investor in the fund?arrow_forward
- Only c) is incorrect. Please explain itarrow_forwardA closed-end fund starts the year with a net asset value of $12. By year-end, NAV equals $12.10. At the beginning of the year, the fund is selling at a 2% premium to NAV. By the end of the year, the fund is selling at a 7% discount to NAV. The fund paid year-end distributions of income and capital gains of $1.50. Required: a. What is the rate of return to an investor in the fund during the year? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Rate of return % b. What would have been the rate of return to an investor who held the same securities as the fund manager during the year? (Round your answer to 2 decimal places.) Rate of return %arrow_forwardYou manage a pension fund that will provide retired workers with lifetime annuities. You determine that the payouts of the fund are (approximately) level perpetuities of $1 million per year. The interest rate is 10%. You plan to fully fund the obligation using 5-year maturity and 20-year maturity zero-coupon bonds. How much market value of each of the zeros will be necessary to fund the plan if you desire an immunized position? 4 million for 5 year bond and 6 million of 20-year bond. 6 million for 5 year bond and 4 million of 20-year bond. O 6.67 million for 5 year bond and 3.33 million of 20-year bond. O 3.33 million for 5 year bond and 6.67 million of 20-year bond. Question 9 Using the same information from question 8, suppose that one year has passed, and the interest rate remains at 10%. What actions are required to rebalance the portfolio? O buy additional 0.67 million 5-year bond and sell 0.67 million 20-year bond. Sell 0.67 million 5-year bond, purchase additional 0.67 million…arrow_forward
- A closed-end fund starts the year with a net asset value of OMR10. By year end, NAV equals OMR10.10. At the beginning of the year, the fund was selling at a 3% premium to NAV. By the end of the year, the fund is selling at a 6% discount to NAV. The fund paid year end distributions of income and capital gains of OMR2.50. What is the rate of return to an investor in the fund during the year?arrow_forwardA fund starts the year with NAV 54 per share. Over the year, the fund pays out income of 3.25 per share and capital gains distributions of 3.75 per share. Assets in the portfolio grew (shrank) by 0.01, and an expense ratio of 0.016 is charged at the end of the year. What is the rate of return on the fund? (Hint: calculate NAV1 first) O 0.0953 O 0.1110 O 0.1169 O 0.1055 0.1235arrow_forwardSuppose that you initially invested $10,000 in the Stivers mutual fund and $5,000 in theTrippi mutual fund. The value of each investment at the end of each subsequent year isprovided in the table:Year Stivers ($) Trippi ($)1 11,000 5,6002 12,000 6,3003 13,000 6,9004 14,000 7,6005 15,000 8,5006 16,000 9,2007 17,000 9,9008 18,000 10,600Which of the two mutual funds performed better over this time period?arrow_forward
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