2011年6月ACCA《财务管理》试题及答案

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(a) ZPS Co, whose home currency is the dollar, took out a fixed-interest peso bank loan several years ago when peso interest rates were relatively cheap compared to dollar interest rates. Economic difficulties have now increased peso interest rates while dollar interest rates have remained relatively stable. ZPS Co must pay interest of 5,000,000 pesos in six months’ time. The following information is available.

                                                                        Per $

Spot rate:                                   pesos 12·500 – pesos 12·582

Six-month forward rate:         pesos 12·805 – pesos 12·889

Interest rates that can be used by ZPS Co:

Borrow           Deposit

Peso interest rates:            10·0% per year      7·5% per year

Dollar interest rates:           4·5% per year       3·5% per year

 

Required:

(i)  Explain briefly the relationships between;

(1) exchange rates and interest rates;

(2) exchange rates and inflation rates. (5 marks)

(ii) Calculate whether a forward market hedge or a money market hedge should be used to hedge the interest payment of 5 million pesos in six months’ time. Assume that ZPS Co would need to borrow any cash it uses in hedging exchange rate risk. (6 marks)

(b) ZPS Co places monthly orders with a supplier for 10,000 components that are used in its manufacturing processes. Annual demand is 120,000 components. The current terms are payment in full within 90 days, which ZPS Co meets, and the cost per component is $7·50. The cost of ordering is $200 per order, while the cost of holding components in inventory is $1·00 per component per year.

 

The supplier has offered either a discount of 0·5% for payment in full within 30 days, or a discount of 3·6% on orders of 30,000 or more components. If the bulk purchase discount is taken, the cost of holding components in inventory would increase to $2·20 per component per year due to the need for a larger storage facility.

 

Assume that there are 365 days in the year and that ZPS Co can borrow short-term at 4·5% per year.

 

Required:

(i)  Discuss the factors that influence the formulation of working capital policy; (7 marks)

(ii)  Calculate if ZPS Co will benefit financially by accepting the offer of:

(1) the early settlement discount;

(2) the bulk purchase discount. (7 marks)

(25 marks)

 

(a)

(i) Movements in exchange rates can be related to changes in interest rates and to changes in inflation rates. The relationship between exchange rates and interest rates is called interest rate parity, while the relationship between exchange rates and inflation rates is called purchasing power parity.

 

Interest rate parity holds that the relationship between the spot exchange rate and the forward exchange rate between two currencies can be linked to the relative nominal interest rates of the two countries. The forward rate can be found by multiplying the spot rate by the ratio of the interest rates of the two countries. The currency of the country with the higher nominal interest rate will be forecast to weaken against the currency of the country with the lower nominal interest rate. Both the spot rate and the forward rate are available in the current foreign exchange market, and the forward rate can be guaranteed by using a forward contract.

 

Purchasing power parity holds that the current spot exchange rate and the future spot exchange rate between two currencies can be linked to the relative inflation rates of the two countries. The future spot rate is the spot rate that occurs at the end of a given period of time. The currency of the country with the higher inflation rate will be forecast to weaken against the currency of the country with the lower inflation rate. Purchasing power parity is based on the law of one price, which suggests that, in equilibrium, identical goods should sell for the same price in different countries, allowing for the exchange rate. Purchasing power parity holds in the longer term rather than the shorter term and so is often used to provide long-term forecasts of exchange rate movements, for example for use in investment appraisal.

(ii) The costs of the two exchange rate hedges need to be compared at the same point in time, e.g. in six months'  time.

Forward market hedge

Interest payment = 5,000,000 pesos

Six-month forward rate for buying pesos = 12·805 pesos per $

Dollar cost of peso interest using forward market = 5,000,000/12·805 = $390,472

Money market hedge

ZPS Co has a 5 million peso liability in six months and so needs to create a 5 million peso asset at the same point in time. The six-month peso deposit rate is 7·5%/2 = 3·75%. The quantity of pesos to be deposited now is therefore 5,000,000/1·0375 = 4,819,277 pesos.

 

The quantity of dollars needed to purchase these pesos is 4,819,277/12·500 = $385,542 and ZPS Co would borrow this quantity of dollars now. The six-month dollar borrowing rate = 4·5%/2 = 2·25% and so in six months’ time the debt will be 385,542 x 1·0225 = $394,217. This is the dollar cost of the peso interest using a money market hedge.

 

Comparing the $390,472 cost of the forward market hedge with the $394,217 cost using a money market hedge, it is clear that the forward market should be used to hedge the peso interest payment as it is cheaper by $3,745.

(b)

(i) Working capital policies can cover the level of investment in current assets, the way in which current assets are financed, and the procedures to follow in managing elements of working capital such as inventory, trade receivables, cash and trade payables. The twin objectives of working capital management are liquidity and profitability, and working capital policies support the achievement of these objectives. There are several factors that influence the formulation of working capital policies, as follows.

Nature of the business

The nature of the business influences the formulation of working capital policy because it influences the size of the elements of working capital. A manufacturing company, for example, may have high levels of inventory and trade receivables, a service company may have low levels of inventory and high levels of trade receivables, and a supermarket chain may have high levels of inventory and low levels of trade receivables.

The operating cycle

The length of the operating cycle, together with the desired level of investment in current assets, will determine the amount of working capital finance needed. Working capital policies will therefore be formulated so as to optimise as much as possible the length of the operating cycle and its components, which are the inventory conversion period, the receivables conversion period and payables deferral period.

Terms of trade

Since a company must compete with other companies to be successful, a key factor in the formulation of working capital policy will be the terms of trade offered by competitors. The terms of trade must be comparable with those of competitors and the level of receivables will be determined by the credit period offered and the average credit period taken by customers.

Risk appetite of company

A risk-averse company will tend to operate with higher levels of inventory and receivables than a company which is more risk-seeking.

 

Similarly, a risk-averse company will seek to use long-term finance for permanent current assets and some of its fluctuating current assets (conservative policy), while a more risk-seeking company will seek to use short-term finance for fluctuating current assets as well as for a portion of the permanent current assets of the company (an aggressive policy).

 

(ii) Early settlement discount

Annual cost of components = 120,000 x 7·50 = $900,000 per year

Value of discount offered = 900,000 x 0·005 = $4,500

 

Current level of payables = 900,000 x 90/365 = $221,918

Revised level of payables = 900,000 x 30/365 = $73,973

(Alternatively, 221,918 x 1/3 = $73,973)

Reduction in payables = 221,918 – 73,973 = $147,945

(Alternatively, 221,918 x 2/3 = $147,945, or 900,000 x 60/365 = $147,945)

Annual cost of borrowing = 4·5% per year

Increase in financing cost by taking discount = 147,945 x 0·045 = $6,657

 

Since the increase in financing cost is $2,157 greater than the discount offered, ZPS Co will not benefit financially by taking the early settlement discount.

 

Bulk purchase discount

Current number of orders = 120,000/10,000 = 12 orders

Current ordering cost = 12 x 200 = $2,400 per year

Current holding cost = (10,000/2) x 1 = $5,000 per year

Annual cost of components = $900,000 per year

Inventory cost under current policy = 900,000 + 2,400 + 5,000 = $907,400 per year

 

To gain the bulk purchase discount, the order size must increase to 30,000 components

The number of orders will decrease to 120,000/30,000 = 4 orders per year

The revised ordering cost will be 4 x 200 = $800 per year

The revised holding cost will be (30,000/2) x 2·2 = $33,000 per year

The annual cost of components will be 120,000 x 7·50 x 0·964 = $867,600 per year

Inventory cost using discount = 867,600 + 800 + 33,000 = $901,400 per year

 

ZPS Co will benefit financially if it takes the bulk discount offered by the supplier, as it saves $6,000 per year in inventory costs or 0·66% of current inventory costs.

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