- 20 Marks
Question
a) The annual demand for Praise Limited’s inventory is 10,500 units. The item costs GH¢400 a unit to purchase. The holding cost for one unit for one year is 12% of the unit cost, and ordering costs are GH¢450 per order. The supplier offers a 2% discount for orders of 700 units or more and a discount of 3% for orders of 950 units or more.
Required:
Determine the cost-minimizing order size of the company. (8 marks)
b) Five years ago, Gasoto Ltd. issued 12 percent irredeemable debentures at their par value of GH¢100. The current market price of these debentures is GH¢94. The company pays corporation tax at a rate of 30 percent.
Required:
Calculate the company’s current cost of debenture. (3 marks)
c) Zeb Limited offers 2 percent discount to its customers who pay within ten (10) days. The company normally collects its debt within thirty (30) days. Assume 365 days in a year.
Required:
Determine the cost of the discount to the company. (3 marks)
d) Brothers Limited enters into a forward rate agreement (FRA) with Bank of Frica in which Brothers Limited will receive a fixed rate of 8% for nine (9) months on a loan of GH¢1 million. Bank of Frica agrees to receive a nine (9) months LIBOR rate to be determined in nine (9) months’ time on the loan principal.
Required:
Determine the results of the FRA and the effective loan rate if the spot rate for the LIBOR in nine (9) months is:
i) 5%
ii) 10% (6 marks)

Answer
a) Cost-Minimizing Order Size Calculation
Economic Order Quantity (EOQ) ignoring discounts:


Total Annual Cost for EOQ:



Conclusion: The cost-minimizing order size is 950 units, as it results in the lowest total cost.
(8 marks)
b) Company’s Current Cost of Debenture
Cost of Debenture (Kd):

After-tax Cost of Debenture=Kd×(1−Tax rate)=12.8%×(1−0.3)=8.96%
c) Cost of Discount to the Company
Formula:
d) Forward Rate Agreement (FRA) Calculation
i) If the spot rate for LIBOR in nine (9) months is 5%:
Brothers Limited receives 8% on the loan principal.
Bank of Frica pays 5%, so Brothers Limited effectively pays a 3% difference.

ii) If the spot rate for LIBOR in nine (9) months is 10%:
- Brothers Limited receives 8%, and pays the difference to Bank of Frica.
- Effective difference = −2% (Bank of Frica benefits).
Results of FRA:

- Topic: Inventory Management
- Series: NOV 2016
- Uploader: Kwame Aikins