In: Finance
The existing spot rate of the Singapore dollar is $.62. The one‑year forward rate of the Singapore dollar is $.61. The probability distribution of the future spot rate in one year is forecasted as follows:
Future Spot Rate Probability
$.60 25%
.63 45
.65 30
Assume that one‑year put options on Singapore dollars are available, with an exercise price of $.64 and a premium of $.04 per unit. One‑year call options on Singapore dollars are available with an exercise price of $.61 and a premium of $.02 per unit. Assume the following money market rates:
U.S. Singapore
Deposit rate 6% 5%
Borrowing rate 8 7
Please the answer of the big problem with detailed explanations.
(1) Calculation without receivable
Sr.No. | Particular | Amount | Amount |
Without Hedge | |||
Payable | SGD 500,000.00 | ||
Future Spot Rate | $ 0.6285 | ||
($0.60 x 25% + $0.63 x 45% + $0.65 x30%) | |||
Payabale without hedge | $ 314,250.00 | ||
1 | Hedge via Forward | ||
Payable | SGD 500,000.00 | ||
Forward Rate | $ 0.6100 | ||
Payable in Forward Contract | $ 305,000.00 | ||
2 | Hedge via Money Market Hedge | ||
Payable | SGD 500,000.00 | ||
(A) Today Borrow Money from US equivelent to SGD 500,000 after 1-Year including interest (Invest in Singapur) | $ 295,238.10 | ||
(SGD 500,000 /1.05) x $0.62 | |||
Interest on above borrowing @8% for 1-Year | $ 23,619.05 | ||
Payable in Money Market Hedge | $ 318,857.14 | ||
3 | Hedge via Call Option | ||
Payable | SGD 500,000.00 | ||
Option exercised so buy at $0.61 | $0.61 | ||
Total | $ 305,000.00 | ||
Add : | |||
Call Premium Paid | $ 10,000.00 | ||
Add : Interest cost | $ 800.00 | ||
($10,000 x 8% x 12/12) | |||
Total Cost on Call Option | $ 10,800.00 | ||
Payable in call option hedge | $ 315,800.00 |
Advisable to hedge through future as it has lowest outflow i.e. $305,000
(2) If firm have receivable SGD 1,000,000 it means company need to hedge receivable.
Sr.No. | Particular | Amount | Amount |
Without Hedge | |||
Receivable | SGD 1,000,000.00 | ||
Future Spot Rate | $ 0.6285 | ||
($0.60 x 25% + $0.63 x 45% + $0.65 x30%) | |||
Receivable without hedge | $ 628,500.00 | ||
1 | Hedge via Forward | ||
Receivable | SGD 1,000,000.00 | ||
Forward Rate | $ 0.6100 | ||
Receivable in Forward Contract | $ 610,000.00 | ||
2 | Hedge via Money Market Hedge | ||
Receivable | SGD 1,000,000.00 | ||
(A) Today Borrow Money from Singapore equivelent to SGD 1,000,000 after 1-Year including interest (Borrow in Singapur) | SGD 934,579.44 | ||
(SGD 1,000,000 /1.07) | |||
Exchange rate (Spot) | $ 0.62 | ||
Money received in $ | $ 579,439.25 | ||
Interest on above Invest in US @6% for 1-Year | $ 34,766.36 | ||
Receivable in Money Market Hedge | $ 614,205.61 | ||
3 | Hedge via Call Option | ||
Receivable | SGD 1,000,000.00 | ||
Option exercised so buy at $0.64 | $0.64 | ||
Total | $ 640,000.00 | ||
Less : | |||
Put Premium Paid | $ 40,000.00 | ||
Add : Interest cost | $ 3,200.00 | ||
($40,000 x 8% x 12/12) | |||
Total Cost on Call Option | $ 43,200.00 | ||
Payble in call option hedge | $ 596,800.00 |
It is better to receivable if not hedge. i.e $628,500
Here for XYZ Inc. no data of paybale given but as we used the same data in both ABC Co. and XYZ Inc. so in payable forward contract have less outflow so better to hedge through future contract for net payble if payable higher than receivable otherwise net receivable advisable to not to hedge as it better to receivable as calculated above.
For understanding both company are differance so calculated
individually so we can net of paybale and receivale.
Assumption : Future spot rate will be same as calculated based on probability given both option exercisable.