ESSENTIALS OF INVESTMENTS SELECT CHAPT
ESSENTIALS OF INVESTMENTS SELECT CHAPT
17th Edition
ISBN: 9781307126228
Author: Bodie
Publisher: MCG/CREATE
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Chapter 11, Problem 1PS
Summary Introduction

To determine:

The reason behind infinite maturity of the perpetuity which can last as short as ten or twenty years.

Introduction:

Perpetuity refers to the annuity which comprises of stream of identical flow of cash. Such a stream persists for an infinite period of time. Perpetuity is usually takes into consideration for detemining the present value of the cash flow of the company that is discounted at a specific rate.

Expert Solution & Answer
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Answer to Problem 1PS

The present value approaches zero for the flow of cash in the distant future, so that the impact on the weighted average can be reduced or nullified.

Explanation of Solution

Duration stands to be the weighted average of the cash flow associated with the maturity which is being paid to the perpetuity holder wherein weight pertaining to each flow of cash stands equivalent to the cash flow's present value divided by the Total present value of all cash flows. The weight becomes very small for the cash flow in the distant future, so that there is virtually, eventually no or very little impact on the weighted average due to these distant cash flows.

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Suppose that you are a U.S.-based importer of goods from the United Kingdom. You expect the value of the pound to increase against the U.S. dollar over the next 30 days. You will be making payment on a shipment of imported goods in 30 days and want to hedge your currency exposure. The U.S. risk-free rate is 5.5 percent, and the U.K. risk-free rate is 4.5 percent. These rates are expected to remain unchanged over the next month. The current spot rate is $1.90.  1.Move forward 10 days. The spot rate is $1.93. Interest rates are unchanged. Calculate the value of your forward position. Do not round intermediate calculations. Round your answer to 4 decimal places.
Don't solve. I mistakenly submitted blurr image please comment i will write values. please dont Solve with incorrect values otherwise unhelpful.
The  image is blurr please comment i will write values. please dont Solve with incorrect values otherwise unhelpful.
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