Exercise 3.4 A company will face the following cash requirements in the next eight quarters (positive entries represent cash needs while negative entries represent cash surpluses): Q1 Q2 Q3 Q4 Q5 Q6 Q7 100 500 100 -600-500 200 600 The company has three borrowing possibilities. Q8 -900 A 2-year loan available at the beginning of Q1, with a 1% interest per quarter. • The other two borrowing opportunities are available at the beginning of every quarter: a 6-month loan with a 1.8% interest per quarter, and a quarterly loan with a 2.5% interest for the quarter. • Any surplus can be invested at a 0.5% interest per quarter. Formulate a linear program that maximizes the wealth of the company at the beginning of Q9.

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter16: Working Capital Policy And Short-term Financing
Section: Chapter Questions
Problem 14P
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Exercise 3.4 A company will face the following cash requirements in the
next eight quarters (positive entries represent cash needs while negative entries
represent cash surpluses):
Q1 Q2 Q3 Q4 Q5 Q6 Q7
100 500 100
-600-500 200 600
The company has three borrowing possibilities.
Q8
-900
A 2-year loan available at the beginning of Q1, with a 1% interest per quarter.
• The other two borrowing opportunities are available at the beginning of every
quarter: a 6-month loan with a 1.8% interest per quarter, and a quarterly
loan with a 2.5% interest for the quarter.
• Any surplus can be invested at a 0.5% interest per quarter.
Formulate a linear program that maximizes the wealth of the company at the
beginning of Q9.
Transcribed Image Text:Exercise 3.4 A company will face the following cash requirements in the next eight quarters (positive entries represent cash needs while negative entries represent cash surpluses): Q1 Q2 Q3 Q4 Q5 Q6 Q7 100 500 100 -600-500 200 600 The company has three borrowing possibilities. Q8 -900 A 2-year loan available at the beginning of Q1, with a 1% interest per quarter. • The other two borrowing opportunities are available at the beginning of every quarter: a 6-month loan with a 1.8% interest per quarter, and a quarterly loan with a 2.5% interest for the quarter. • Any surplus can be invested at a 0.5% interest per quarter. Formulate a linear program that maximizes the wealth of the company at the beginning of Q9.
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