The force of interest is known to be δ(t)=k√t  where t is in years. a) Determine k such that money invested at t=0 will triple in 9 years. b) How long will it take for money invested at t=1 to triple? c) Find the equivalent constant rate convertible semi-annually that will cause money to triple in the first 9 years.

Financial Management: Theory & Practice
16th Edition
ISBN:9781337909730
Author:Brigham
Publisher:Brigham
Chapter4: Time Value Of Money
Section: Chapter Questions
Problem 12MC: (1) What is the value at the end of Year 3 of the following cash flow stream if the quoted interest...
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The force of interest is known to be δ(t)=k√t  where t is in years.

a) Determine k such that money invested at t=0 will triple in 9 years.
b) How long will it take for money invested at t=1 to triple?
c) Find the equivalent constant rate convertible semi-annually that will cause money to triple in the first 9 years.

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