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Chapter 30, Problem 13P

a)

Summary Introduction

To determine: The value of assets and liabilities of C fund.

Introduction:

The duration of the securities are equal to the weighted average maturity of the cash flow.

Summary Introduction

To determine: The value of equity.

b)

Summary Introduction

To determine: The duration of C fund’s equity.

Introduction:

The duration of the securities are equal to the weighted average maturity of the cash flow.

c)

Summary Introduction

To determine: Number of dollars Person X requires to liquidate and reinvest which helps to minimize the interest rate sensitivity of funds.

d)

Summary Introduction

To determine: The notational amount of the swap.

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Consider the following hypothetical investment for the fund. Issue a one-month liability and purchase a $1,000, 15-year, 5% coupon Treasury bond. Assume that the one-month interest rate is currently 2% and that the 15-year interest rate is currently 5%. How much in liabilities would the fund have to issue to finance the purchase of the Treasury bond? At the end of one year the fund has received the coupon-interest payment on the bond and paid interest on its short-term liabilities. What is the net earnings for the fund for that year? What is the value of the bond investment at the end of the year (there are 14 years to maturity remaining on the bond) assuming that the long-term rate is still 5%? What is the net asset value (market value of assets minus liabilities) of the fund?
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