Problem 4-03 (Algorithmic) The employee credit union at State University is planning the allocation of funds for...

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Finance

Problem 4-03 (Algorithmic)

The employee credit union at State University is planning theallocation of funds for the coming year. The credit union makesfour types of loans to its members. In addition, the credit unioninvests in risk-free securities to stabilize income. The variousrevenueproducing investments together with annual rates of returnare as follows:

Type of Loan/InvestmentAnnual Rate of Return (%)
Automobile loans8
Furniture loans10
Other secured loans11
Signature loans12
Risk-free securities9

The credit union will have $2.1 million available for investmentduring the coming year. State laws and credit union policies imposethe following restrictions on the composition of the loans andinvestments:

  • Risk-free securities may not exceed 30% of the total fundsavailable for investment.
  • Signature loans may not exceed 10% of the funds invested in allloans (automobile, furniture, other secured, and signatureloans).
  • Furniture loans plus other secured loans may not exceed theautomobile loans.
  • Other secured loans plus signature loans may not exceed thefunds invested in risk-free securities.

How should the $2.1 million be allocated toeach of the loan/investment alternatives to maximize total annualreturn? Round your answers to the nearest dollar.

Automobile Loans_____$  
Furniture Loans_____$  
Other Secured Loans____$  
Signature Loans_____$  
Risk Free Loans_____$  

What is the projected total annual return? Round your answer tothe nearest dollar.

$ _________

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Problem 4-03 (Algorithmic)The employee credit union at State University is planning theallocation of funds for the coming year. The credit union makesfour types of loans to its members. In addition, the credit unioninvests in risk-free securities to stabilize income. The variousrevenueproducing investments together with annual rates of returnare as follows:Type of Loan/InvestmentAnnual Rate of Return (%)Automobile loans8Furniture loans10Other secured loans11Signature loans12Risk-free securities9The credit union will have $2.1 million available for investmentduring the coming year. State laws and credit union policies imposethe following restrictions on the composition of the loans andinvestments:Risk-free securities may not exceed 30% of the total fundsavailable for investment.Signature loans may not exceed 10% of the funds invested in allloans (automobile, furniture, other secured, and signatureloans).Furniture loans plus other secured loans may not exceed theautomobile loans.Other secured loans plus signature loans may not exceed thefunds invested in risk-free securities.How should the $2.1 million be allocated toeach of the loan/investment alternatives to maximize total annualreturn? Round your answers to the nearest dollar.Automobile Loans_____$  Furniture Loans_____$  Other Secured Loans____$  Signature Loans_____$  Risk Free Loans_____$  What is the projected total annual return? Round your answer tothe nearest dollar.$ _________

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