Question: Caterpillar ( U . S . ) just purchased a Korean company that produces plastic nuts and bolts for heavy equipment. The purchase price was

Caterpillar (U.S.) just purchased a Korean company that produces plastic nuts and bolts for heavy equipment. The purchase price was Won7,030 million. Won1,000 million has already been paid, and the remaining Won6,030 million is due in six months. The current spot rate is Won1200/$, and the 6-month forward rate is Won1260/$. Caterpillar can invest at the rates given below, or borrow at 2% per annum above these rate. Caterpillar's weighted average cost of capital is 10%. As you compare 1) no hedge; 2) forward hedge; 3) money market hedge; 4) option hedge, assume the spot rate 6 mo from now turns out to be what Caterpillar expects. Assumptions Values Purchase price of Korean manufacturer, in Korean won 7,030,000,000 Less initial payment, in Korean won (1,000,000,000) Net settlement needed, in Korean won, in six months 6,030,000,000 Current spot rate (Won/$)1,200 Six month forward rate (Won/$)1,260 Caterpillar's expectation of spot rate 6 mo from now 1,300 Caterpillar cost of capital (WACC)10.00% Options on Korean won: Call Option Put Option Strike price (won/$)1,200.001,200.00 Option premium (percent)3.000%2.400% United States Korea Investment (not borrowing) interest rate 4.000%16.000% Borrowing premium of 2.000%2.000%2.000% Borrowing rate 6.000%18.000% Risk Management Alternatives Values Certainty 1. Remain uncovered, making the won payment in 6 months at the spot rate in effect at that date Account payable (won)6,030,000,000 Spot rate in six months 1,300 Cost of settlement in six months (US$)4,638,4622. Forward market hedge. Buy won forward six months Account payable (won)6,030,000,000 Forward rate (won/$)1,260 Cost of settlement in six months (US$)4,785,7143. Money market hedge. Exchange dollars for won now, invest for six months. Account payable (won)6,030,000,000 Need to discount for 6 months 1.0800 Won needed now (payable/discount factor)5,583,333,333 Current spot rate (won/$)1,200 US dollars needed now 4,652,778 Carry forward rate for six months (WACC)1.0500 US dollar cost, in six months, of settlement 4,885,4174. Call option hedge: buy call on won (long-call on won) Option principal 6,030,000,000 Current spot rate (won/$)1,200 Premium cost of option (%)0.0300 Option premium (principal/spot rate x % pm)150,750 not exercise option will NOT be exercised 4,638,462 Premium carried forward six months (WACC)158,288 Total net cost of call option hedge if exercised 4,796,749 Between 2) and 3)- both locked-in now-,2) is clearly better as it involves less payment value (A/P). Since the outcomes of 1) and 4) depend on future spot rates, one cannot determine, ex-ante, which is best strategy. However, assuming the future spot turns out to be 1300(much weaker won), then ex-post (i.e. with the benefit of hindsight),1) no-hedge turns out to be the best. Try different future spot rates, and see how outcomes change! What if it turns out to be 1,100 or 1,000?

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