An Indian Company obtains the following quotes (Rs/$)
Spot 35.90/36.10
3 month forward rate 36.00/36.25
6 month forward rate 36.10/36.40
The company needs dollar funds for 6 months. Determine wheather the company should borrow in $ or Rs. Interest rates are
3 month interest rate Rs 12%, $ 6%
6 month interest rate Rs 11.5%, $ 5.5%
Also determine what should be the rate of interest after 3 months to make the company indifferent between 3 months borrowing and 6 month borrowing in the case of
- Rupee borrowing
- Dollar borrowing
Note : For the purpose of calculation you can take the units of $ and Rs. as 100 each.
Solution
1.
- Indian Co.
- Needs $ funds for 6 Months
Alternative 1 = $ Borrow
$ 10000 @ 5.5% for 6 months
Amount Payable = 10000 x 1.0275 = $ 10275 Forward cover i.e by $10275
6mf forward @ 36.40
Amount Payable = 10275 x 36.75 = ₹ 374010
Alternative 2 = $ Borrow
Amount needed $ 10000
Spot ₹/$ 36.10
i.e. ₹ 10000 x 36.10 = ₹ 361000
Borrow ₹ 361000 @ 11.5%
Amount payable = 361000 x 1.0575 = ₹ 381757.5 Decision = Borrow $
2. Rate of interest after 3 months to make the company indifferent between 3 months borrowing and 6 month borrowing
F36 = ( 1.0575/1.03 ) – 1 = = 2.6699 % i.e 10.6796%
F36 = ( 1.0275/1.015) – 1 = 1.23% i.e 4.926%