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16- Chapter 16

Risk Management and Temporary Working Capital 16-

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16A- Appendix 16A

Transferring Money Between Cash and Marketable Securities 16A-

      16A-

CHAPTER 16 

Risk Management and Temporary Working Capital 
 
 

QUESTIONS 

    1. Why does hedging reduce risk?  Hedging is the balancing of a risky position with an equal and opposite risky position.  Effectively, hedging creates a portfolio of risky positions in which the elements of the portfolio are negatively correlated.  Although each component remains risky, the portfolio has far less�and possibly no�risk.  Losses in value from one element of the portfolio are matched by increases in value from other elements. 

      2. What is the difference between hedging across the balance sheet and hedging individual cash flows?  The difference is in which risky positions are balanced out.  Hedging across the balance sheet matches assets and liabilities by their maturities to ensure that assets will become liquid as needed to pay the company's liabilities.  Hedging individual cash flows ensures that receipts can be used efficiently and each obligation has a known cost. 

        3. What are the four steps in putting working capital on the balance sheet?  The four steps represent a logical way to think about filling out the balance sheet in order to (1) only accept investments with positive NPV, (2) maintain the appropriate debt-equity mix, and (3) hedge across the balance sheet.  The four steps are generally done in sequence, but are repeated many times as conditions and opportunities change.  The sequence is:

        (1) Establish balances for each permanent current asset using the incremental techniques presented in Chapter 12.

        (2) Establish balances for each permanent current liability by locating all low-cost or free short-term financing opportunities using the effective interest rate analysis presented in Chapter 20.

        (3) Add additional permanent debt, both short-term and long-term to hedge the maturities of the assets on the balance sheet.

        (4) Respond to temporary current asset buildups and take advantage of any opportunities arising from temporary working capital. 

          4. Why are the “attractive short-term financing opportunities,” described in the second step of the four-step process, considered before other debt financing?  These opportunities are considered first simply because they are less costly.  They include such financing sources as wages payable, taxes payable, and free trade credit.  It is always wise for financial managers to raise financing at the lowest possible cost. 
           

          5. How is the current ratio used in setting the debt maturity mix?  Can you think of any other financial measures that could also be used in this analysis?  The current ratio is often used as a measure of how to split the amount of debt taken in the third-step of the four-step process between current and long-term to hedge balance sheet maturities.  Short-term debt is added to the firm's liabilities until the current ratio reaches a target value; additional debt financing is long-term.  Other measures that could be used are working capital (current assets minus current liabilities) and the quick ratio. 

            6. Why is the debt maturity mix normally simplified to short- vs. long-term debt?  What, if anything, is lost in making this simplification?  This simplification is normally made to be consistent with the way assets and liabilities are categorized on the balance sheet.  However, simplifying in this way hides the opportunity, and need, to consider a much finer hedging of assets and liabilities.  For example, an asset that will turn to cash in one month is generally not a good hedge for ten-month debt, yet both would appear on the balance sheet as current items.  An asset with a 30-year life is generally not a good hedge for thirteen-month debt, yet both would appear on the balance sheet as long-term.  It is important to look beyond the simplicity of the balance sheet classification and examine the maturities of assets and liabilities in more detail. 

              7. What role does the debt maturity mix play in the firm's overall risk-return posture?  The debt maturity mix is an important input to a company's levels of risk and return.  In general, short-term liabilities are less costly than long-term debt, since the yield curve is normally upward sloping.  However, a firm with a high level of short-term liabilities has less liquidity than one whose debt is of longer maturities.  In summary, a company which weights its debt financing toward the short-term increases both its return and risk, while a company which weights its debt financing toward the long-term decreases both its return and risk.  By establishing its debt maturity mix, a company can add or subtract both risk and return to its risk-return position. 

                8. Distinguish between individual asset/liability hedging and maturity-range hedging?  What type of company can do each?  Individual asset/liability hedging, involves matching the maturities of specific assets with specific liabilities.  Each liability is offset with an asset of equal amount and maturity.  While this strategy achieves the maximum risk reduction from hedging, it is costly, difficult, and time-consuming to do.  With maturity-range hedging, assets and liabilities are grouped by maturity and the groups are kept roughly equal in size.  This policy is far less costly and more doable than attempting to match every asset and liability.  Effectively, maturity-range hedging is an attempt to back off from individual asset/liability hedging to find a practical balance sheet hedging policy. 
                 
                 
                 

                9. What role do permanent current assets play in maturity-range hedging?  Even though individual current assets turn over within the annual accounting period, the balance of permanent current assets has a long-term maturity since it will be on the books for many years.  Recognizing this, we include permanent current assets with noncurrent assets when grouping assets by maturity for maturity-range hedging. 

                  10. Why do companies deviate from maturity-range hedging?  Companies deviate from maturity-range hedging for three primary reasons:

                  (1) Inability to obtain the desired financing � Small businesses often cannot obtain funds in the maturities needed for hedging purposes.  They have difficulty raising long-term capital and tend to weight their financing toward the available shorter-term trade credit and bank financing.

                  (2) Cost reduction (higher returns) � Some companies elect to use more short-term financing than required for hedging since it is lest costly when yield curves are normal.  Other companies elect to use more long-term debt to avoid the costs of repeatedly renewing and renegotiating their financing.

                  (3) Risk reduction � Some companies elect to use more short-term financing than required for hedging since it gives them a high degree of flexibility in adding and subtracting debt from the balance sheet should their needs change.  Other companies elect to use more long-term debt to lock in interest rates, improve their credit ratings, and avoid the danger of bankruptcy from having to repay debt on an ongoing basis. 

                    11. What factor(s) enter the decisions about the composition of a portfolio of marketable securities?  The important factor is the maturity of each security in the portfolio.  Marketable securities should be selected with an eye toward when the money will be needed again in order to insulate the company from market price fluctuations.  In this way, the company will receive a known face value when each security matures.  Since the values of all marketable securities in an economy are closely tied to interest rates, it is not possible to use statistical portfolio techniques (betas) to reduce the risk of this kind of portfolio. 

                      12. Which financial instruments are most commonly used as marketable securities?  A list is given in Figure 16.9 on page 591.  These securities include U.S. Treasury bills, bonds and notes; bonds issued by other federal agencies and by state and local governments; bank instruments including acceptances, negotiable CDs, and repos; financial market instruments such as commercial paper, Euronotes, and variable-rate preferred stock; and money market mutual funds combining securities from one or more issuers.  They all share the characteristics of relatively low risk and high liquidity and marketability. 

                        13. What is meant by the “five Cs”?  The five Cs are five words that summarize the criteria for extending credit used by commercial banks.  Specifically, they are:

                        a. Character � does the credit applicant responsibly meet his/her obligations?

                        b. Capacity � does the credit applicant have the ability to pay?

                        c. Capital � does the credit applicant have sufficient resources to make payments under adverse conditions?

                        d. Collateral � does the credit applicant have assets which can be pledged against the loan to provide a “second way out” should payment not be made?

                        e. Conditions � what outside factors may make it difficult for the credit applicant to pay and what is the probability and projected effect of each? 

                          14. In what way(s) are quality-leading companies changing their approach to the control of working capital?  Quality-leading companies are finding many ways to improve their production, finance, and management processes to significantly reduce working capital requirements.  The move toward just-in-time manufacturing is perhaps the most visible of these improvements reducing the need for inventories�the chapter relates the progress that one company, American Standard, has made in this regard.  Other changes which have reduced the need for working capital include more efficient cash management through customer-supplier alignments with banks, and more efficient handling of receivables and payables by using electronic data interchange with suppliers and customers. 

                            15. Some financial professionals consider forward contracts another kind of derivative security.  Why do you think this is so?  A derivative security is a contract whose value is tied to some financial market security, rate, or price.  These financial professionals see forward contracts as fitting within the definition of a derivative, since the value of a forward contract depends on the interest or exchange rate it is connected to.  For example, a company which has signed a forward exchange contract has the obligation to purchase a foreign currency at a specified exchange rate.  Should the foreign currency become more expensive, the forward contract would become more valuable and vice versa. 

                              16. How does a forward contract work as a hedging device?  A forward contract locks in an interest rate or exchange rate for a specified future time.  It insulates the company from changes to that rate until the exercise date of the contract.  Consider, for example, a company with an account receivable of 10,000 Swiss francs due to be collected in 90 days.  The company will have to convert the francs to dollars at that time, but the exchange rate 90 days from now is unknown�hence the company faces foreign exchange risk.  By purchasing a forward exchange contract, the company can guarantee the rate of exchange and eliminate the risk.  The forward contract, a liability to deliver 10,000 francs in 90 days hedges the account receivable asset, the right to receive 10,000 francs in 90 days by providing a way for the company to use the proceeds from the asset and receive a known value. 

                                17. How does a derivative security work as a hedging device?  Financial managers can use a derivative security to hedge the asset to which the derivative is connected by creating an opposite exposure to the asset.  For example, a food processor could buy futures on the agricultural products it will be purchasing in the next few months.  If the cost of the products rises the food processor will have to pay more for them, but the futures contracts will increase in value as well offsetting the extra cost and providing the additional money required.  The asset and the derivative position are perfectly negatively correlated in this strategy: any change in value of the asset will be offset by an opposite change in value of the derivative security.  In the ideal hedge, the opposite exposure is for the same amount of money as the asset itself, however, since derivative instruments come in fixed sizes�for example $10,000 units�it is often difficult to construct an opposite position of precisely the needed amount. 

                                  18. A new finance student was overheard making the following statement: “In efficient financial markets, all hedging devices should be perfect substitutes!”  Discuss.  In general, alternative hedging devices are reasonably good substitutes for one another.  However the student's statement is not quite true for at least three reasons:

                                  (1) Not all hedging instruments convey the same rights and obligations.  For example, a forward contract commits the parties to go through with the transaction while an option gives the choice of whether to proceed to the option holder.

                                  (2) Not all hedging devices are taxed the same way.

                                  (3) Money market hedges appear on the balance sheet as assets and offsetting liabilities while derivative securities do not. 

                                    19. Draw a flow chart of the four-step working capital process.  One (very simple) possibility: 
                                     
                                     
                                     
                                     
                                     
                                     

                                    PROBLEMS 

                                    SOLUTION PROBLEM 161 

                                    Recall that the current ratio =  Current assets 

                                          Current liabilities

                                    Rearranging: Current liabilities = Current assets

                                                 Current ratio

                                    and with a target current ratio of 2.5:

                                          Target current liabilities = Current assets

                                                2.5 

                                    (a) Permanent current assets  =  $10 million

                                                Target current liabilities = $10 million = $4 million

                                                            2.5

                                                Additional short-term financing needed to meet

                                                target  =  $4 million  $2 million  =  $2 million 

                                    (b) Permanent current assets  =  $8 million

                                                Target current liabilities = $8 million = $3.2 million

                                                            2.5

                                                Additional short-term financing needed to meet

                                                target  =  $3.2 million  $2 million  =  $1.2 million 

                                    (c) Permanent current assets  =  $5 million

                                                Target current liabilities = $5 million = $2 million

                                                            2.5

                                                Additional short-term financing needed to meet

                                                target  =  $0 

                                    (d) Permanent current assets  =  $2 million

                                                Target current liabilities = $2 million = $0.8 million

                                                            2.5

                                            The company has $1.2 million more in short-term financing than target.  It should either reduce current liabilities by this $1.2 million, increase its permanent current assets to $5 million (see answer to part c)�if good permanent current asset investments exist, or rethink its 2.5 target current ratio. 
                                       
                                       
                                       
                                       

                                      SOLUTION PROBLEM 162 

                                      Recall that the current ratio = _ Current assets 

                                            Current liabilities

                                      Rearranging: Current liabilities = Current assets

                                                       Current ratio

                                      and with $25 million of permanent current assets:

                                            Target current liabilities =  $25 million_

                                                  Current ratio 

                                      (a) Target current ratio  =  1.8

                                                  Target current liabilities = $25 million = $13.9 million

                                                              1.8

                                                  Additional short-term financing needed to meet

                                                  target  =  $13.9 million  $4 million  =  $9.9 million 

                                      (b) Target current ratio  =  2.0

                                                  Target current liabilities = $25 million = $12.5 million

                                                              2.0

                                                  Additional short-term financing needed to meet

                                                  target  =  $12.5 million  $4 million  =  $8.5 million 

                                      (c) Target current ratio  =  2.4

                                                  Target current liabilities = $25 million = $10.4 million

                                                              2.4

                                                  Additional short-term financing needed to meet

                                                  target  =  $10.4 million  $4 million  =  $6.4 million 

                                      (d) Target current ratio  =  2.8

                                                  Target current liabilities = $25 million = $8.9 million

                                                              2.8

                                                  Additional short-term financing needed to meet

                                                  target  =  $8.9 million  $4 million  =  $4.9 million 
                                       

                                      SOLUTION PROBLEM 163 

                                      For all four cases:

                                            • Total assets  =  current + long-term  =  $25 + $25  =  $50 million

                                            • With a target debt ratio of 40%

                                                        Liabilities = 40%, so liabilities  =  40%(assets)

                                                          Assets

                                                        Liabilities = 40%($50 million)  =  $20 million

                                            • Therefore equity = $50 million  $20 million  =  $30 million 

                                      (a) Current debt = 20%($20 million) = $4 million

                                            Long-term debt = 80%($20 million) = $16 million 

                                      (b) Current debt = 40%($20 million) = $8 million

                                            Long-term debt = 60%($20 million) = $12 million 

                                      (c) Current debt = 60%($20 million) = $12 million

                                            Long-term debt = 40%($20 million) = $8 million 

                                      (d) Current debt = 80%($20 million) = $16 million

                                            Long-term debt = 20%($20 million) = $4 million 

                                            (1) Balance sheets

                                                                    Financing

                                                  Assets  Mix: a b c d 

                                                  Current 25 Current liabilities   4   8 12 16

                                                  Non-current 25 Long-term liabilities 16 12   8   4

                                                             Equity 30 30 30 30

                                                  50  50 50 50 50 

                                            (2) Financial half of income statement

                                                        Interest expense:

                                                        (a) 7%($4 million) + 12%($16 million) = $2.2 million

                                                        (b) 7%($8 million) + 12%($12 million) = $2.0 million

                                                        (c) 7%($12 million) + 12%($8 million) = $1.8 million

                                                        (d) 7%($16 million) + 12%($4 million) = $1.6 million 

                                                  a b c d 

                                        EBIT $5.00 $5.00 $5.00 $5.00

                                         Interest   2.20   2.00   1.80   1.60

                                        EBT   2.80   3.00   3.20   3.40

                                        Taxes (35%)     .98   1.05   1.12   1.19

                                        EAT $1.82 $1.95 $2.08 $2.21 

                                        (3) Ratios  a   b   c   d 

                                              ROE =  EAT  1.82 = 6.07% 1.95 = 6.50% 2.08 = 6.93% 2.21 = 7.37%

                                                    Equity   30   30   30    30

                                               Current = CA 25 = 6.25 25 = 3.13 25 = 2.08 25 = 1.56

                                                           CL  4  8  12 16 

                                               Note that as the firm moves from more long-term debt (alternative a) toward more short-term debt (alternative d), it increases its return on equity but at the cost of greater liquidity risk as seen in the lower current ratio. 
                                         

                                      SOLUTION PROBLEM 164 

                                      For all four cases:

                                            • Non-current assets  =  total  current  =  $400  $250  =  $150 million

                                            • With a target debt ratio of 50%

                                                        Liabilities = 50%, so liabilities  =  50%(assets)

                                                          Assets

                                                        Liabilities = 50%($400 million)  =  $200 million

                                            • Therefore equity = $400 million  $200 million  =  $200 million

                                            • With basic earning power  =  15%:

                                                         EBIT  = 15%, so EBIT = 15%(assets)

                                                        Assets

                                                         EBIT = 15%($400 million) = $60 million 

                                      (a) Current debt = 20%($200 million) = $40 million

                                            Long-term debt = 80%($200 million) = $160 million 

                                      (b) Current debt = 40%($200 million) = $80 million

                                            Long-term debt = 60%($200 million) = $120 million 

                                      (c) Current debt = 60%($200 million) = $120 million

                                            Long-term debt = 40%($200 million) = $80 million 

                                      (d) Current debt = 80%($200 million) = $160 million

                                            Long-term debt = 20%($200 million) = $40 million 

                                            (1) Balance sheets

                                                                    Financing

                                                  Assets  Mix:  a  b  c d 

                                                  Current 250 Current liabilities   40   80 120 160

                                                  Non-current 150 Long-term liabilities 160 120   80   40

                                                               Equity 200 200 200 200

                                                  400  400 400 400 400 
                                       
                                       
                                       
                                       

                                            (2) Financial half of income statement

                                                        Interest expense:

                                                        (a) 5%($40 million) + 10%($160 million) = $18 million

                                                        (b) 5%($80 million) + 10%($120 million) = $16 million

                                                        (c) 5%($120 million) + 10%($80 million) = $14 million

                                                        (d) 5%($160 million) + 10%($40 million) = $12 million 

                                                  a b c d 

                                        EBIT $60.0 $60.0 $60.0 $60.0

                                         Interest   18.0   16.0   14.0   12.0

                                        EBT   42.0   44.0   46.0   48.0

                                        Taxes (35%)   14.7   15.4   16.1   16.8

                                        EAT $27.3 $28.6 $29.9 $31.2 

                                        (3) Ratios  a   b   c   d 

                                              ROE =  EAT  27.3 = 13.65% 28.6 = 14.30% 29.9 = 14.95% 31.2 = 15.60%

                                                    Equity  200  200  200   200

                                               Current = CA 250 = 6.25 250 = 3.13 250 = 2.08 250 = 1.56

                                                           CL  40  80  120 160 

                                               Note that as the firm moves from more long-term debt (alternative a) toward more short-term debt (alternative d), it increases its return on equity but at the cost of greater liquidity risk as seen in the lower current ratio. 

                                         

                                        APPENDIX 16A 

                                        Transferring Money Between Cash and Marketable Securities 
                                         
                                         

                                        PROBLEMS 

                                        SOLUTION PROBLEM 16A1 

                                        (a) Z  =    =    =    =  $182,574 

                                        (b) Average cash balance = Z = $182,574 = $91,287

                                                                      2 2 

                                        (c) Transfers per year = N = $20,000,000 = 110

                                                                Z $182,574 

                                        (d) Transfer frequency =  360  = 360 = every 3.3 days

                                                                transfers per year 110 
                                         

                                        SOLUTION PROBLEM 16A2 

                                        (a) Z  =    =    =    =  $136,931 

                                        (b) Average cash balance = Z = $136,931 = $68,466

                                                                      2 2 

                                        (c) Transfers per year = N = $5,000,000 = 37

                                                                Z $136,931 

                                        (d) Transfer frequency =  360  = 360 = every 9.7 days

                                                                transfers per year  37 
                                         

                                        SOLUTION PROBLEM 16A3 

                                        (a) Lower control limit (LCL)  =  $0 since there is no minimum cash balance requirement.

                                        (b) Zero point (Z) =  + LCL

                                                          i = (1.05)1/365  1  =  .0001337

                                              and

                                                    Z =  + LCL  =  + 0  =  $69,560 

                                        (c) Upper control limit (UCL) = 3Z  2(LCL)

                                              = 3($69,560)  2($0) = $208,680 

                                        (d) Average cash balance = 4Z LCL = 4($69,560) 0 = $92,747

                                                          3  3 
                                         

                                        SOLUTION PROBLEM 16A4 

                                          (a) Lower control limit (LCL)  =  $25,000, the minimum cash balance required by the company's bank. 

                                          (b) Zero point (Z) =  + LCL

                                                            i = (1.045)1/365  1  =  .0001206

                                                and

                                                      Z =  + LCL  =  + 25,000

                                                            = $291,916 + 25,000 = $316,916 

                                          (c) Upper control limit (UCL) = 3Z  2(LCL)

                                                = 3($316,916)  2($25,000)

                                                = $950,748  50,000 = $900,748 

                                          (d) Average cash balance = 4Z LCL = 4($316,916) 25,000 = $414,221

                                                            3  3 
                                           

                                          SOLUTION PROBLEM 16A5 

                                          LCL remains $0 in all cases. 

                                          (a)  i = (1.03)1/365  1  =  .0000810 

                                                      Z =  + LCL  =  + 0 = $82,207 

                                                UCL = 3Z  2(LCL) = 3($82,207)  2($0) = $246,621 

                                                Average balance = 4Z LCL = 4($82,207) 0 = $109,609

                                                            3  3 

                                          (b) i = (1.04)1/365  1  =  .0001075

                                                Z =  + LCL  =  + 0 = $74,806 

                                                UCL = 3Z  2(LCL) = 3($74,806)  2($0) = $224,418 

                                                Average balance = 4Z LCL = 4($74,806) 0 = $99,741

                                                            3  3 

                                          (c) i = (1.06)1/365  1  =  .0001597

                                                Z =  + LCL  =  + 0 = $65,560 

                                                UCL = 3Z  2(LCL) = 3($65,560)  2($0) = $196,680 

                                                Average balance = 4Z LCL = 4($65,560) 0 = $87,413

                                                            3  3 

                                          (d) i = (1.07)1/365  1  =  .0001854

                                                Z =  + LCL  =  + 0 = $62,378 

                                                UCL = 3Z  2(LCL) = 3($62,378)  2($0) = $187,134 
                                           

                                                Average balance = 4Z LCL = 4($62,378) 0 = $83,171

                                                            3  3 

                                          Notice that as the interest rate rises, the company's cash balance falls since it is more lucrative to keep money in marketable securities. 
                                           
                                           

                                          SOLUTION PROBLEM 16A6 

                                          LCL remains $25,000 in all cases. 

                                          (a) Z =  + LCL  =  + 25,000 = $256,694 

                                                UCL = 3Z  2(LCL) = 3($256,694)  2($25,000) = $720,082 

                                                Average balance = 4Z LCL = 4($256,694) 25,000 = $333,925

                                                            3  3 

                                          (b) Z =  + LCL  =  + 25,000 = $290,223 

                                                UCL = 3Z  2(LCL) = 3($290,223)  2($25,000) = $820,669 

                                                Average balance = 4Z LCL = 4($290,223) 25,000 = $378,631

                                                            3  3 

                                          (c) Z =  + LCL  =  + 25,000 = $339,457 

                                                UCL = 3Z  2(LCL) = 3($339,457)  2($25,000) = $968,371 

                                                Average balance = 4Z LCL = 4($339,457) 25,000 = $444,276

                                                            3  3 

                                          (d) Z =  + LCL  =  + 25,000 = $359,160 

                                                UCL = 3Z  2(LCL) = 3($359,160)  2($25,000) = $1,027,480 

                                                Average balance = 4Z LCL = 4($359,160) 25,000 = $470,547

                                                            3  3 

                                          Notice that as the cost of each cash-securities transaction rises, the company's cash balance rises as well since it becomes more costly to move the cash into marketable securities and back.


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