Mender Co. will be receiving 500,000 Australian dollars in 180 days. Currently, a 180-day call option with an exercise price of $.68 and a premium of $.02 is available. Also, a 180-day put option with an exercise price of $.66 and a premium of $.02 is available. Mender plans to purchase options to hedge its receivables position. Assuming that the spot rate in 180 days is $.67, what is the amount received from the currency option hedge (after considering the premium paid)?

$330,000
$332,000
$327,000
$335,000

1 answer

To hedge its receivables position, Mender Co. plans to purchase options.
For the call option, the exercise price is $.68 per Australian dollar, and the premium is $.02 per Australian dollar.
For the put option, the exercise price is $.66 per Australian dollar, and the premium is also $.02 per Australian dollar.

The spot rate in 180 days is $.67 per Australian dollar.

To calculate the amount received from the currency option hedge, we need to consider both the call and put options:

Call Option:
The spot rate in 180 days is $.67, which is lower than the exercise price of $.68. Therefore, the call option will not be exercised, and Mender Co. will not receive any additional funds from the call option hedge.

Put Option:
The spot rate in 180 days is $.67, which is higher than the exercise price of $.66. Therefore, the put option will be exercised, and Mender Co. will receive $.01 per Australian dollar as a hedge.

Amount received from the put option hedge = $.01 * 500,000 Australian dollars = $5,000

To calculate the amount received from the currency option hedge, we subtract the premium paid from the amount received from the put option hedge:

Amount received from the currency option hedge = Amount received from the put option hedge - Premium paid
Amount received from the currency option hedge = $5,000 - ($.02 * 500,000) = $5,000 - $10,000 = -$5,000

Therefore, the amount received from the currency option hedge is -$5,000.
However, since the answer options only provide positive values, we can assume that the amount received from the currency option hedge is $0.