Winslow Savings Has $20 Million Available for Investment

question 40

Essay

Winslow Savings has $20 million available for investment. It wishes to invest over the next four months in such a way that it will maximize the total interest earned over the four month period as well as have at least $10 million available at the start of the fifth month for a high rise building venture in which it will be participating.
For the time being, Winslow wishes to invest only in 2-month government bonds (earning 2% over the 2-month period) and 3-month construction loans (earning 6% over the 3-month period). Each of these is available each month for investment. Funds not invested in these two investments are liquid and earn 3/4 of 1% per month when invested locally.
Formulate and solve a linear program that will help Winslow Savings determine how to invest over the next four months if at no time does it wish to have more than $8 million in either government bonds or construction loans.

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Definitions:

Value Weighted Index

An index in which each constituent is weighted according to its market value, reflecting the performance of the market based on total capitalization.

Share Weighted Index

A stock market index in which each company is weighted according to the total value of its outstanding shares.

Price Weighted Index

A stock market index in which each company's stock influences the index in proportion to its price per share.

Adjustable Rate Mortgage

A type of mortgage in which the interest rate applied on the outstanding balance varies throughout the life of the loan according to market conditions.