Asst.General Manager-Treasury
99 Points
Joined December 2011
hey guy,
some solution of some particular ques on SFM. This is only one of possible soln, there can be other possible solution also. since i Handle forex and treasury product in my job i tried to solve this question
1 a) Walters model
P= D+ (E-D) r/ke
Ke
= 1.5 + (6-1.5)0.20/0.10
0.10
=105
1b) Current price = Face value x (1- D x days to maturity)
360
= 100 x (1- 0.08 x 90/360)
= 100 x (1- 0.02)
= 98
Bond Equivalent yield = Face value- current price x 360
Current price Maturity period
= (100-98 )/98 x 360/90
= 8.16%
Or
= Discount rate .
1- (Disc. Rate x days to maturity)
360
= 0.08
1- (0.08 x 90/360)
= 0.08/0.98
= 8.16%
1d)
i) since the base currency (USD) interest rate is lower than variable currency(INR) the Base Currency( USD) should always command premium over Variable currency(INR). So US Dollar will be at premium in Indian Forex Market.
ii) F = (1+rv) F is the forward rate and S is the spot rate rv = Interest rate
S (1+rb) of variable currency, rb=Interest rate of base currency
F = (1+0.10 x 6/12)
55.50 (1+0.04 x 6/12)
F = (1.05)
55.50 (1.02)
Forward rate for 6 month is 57.13
Premia % = = F – S x 12 x 100
S n
= (57.13 -55.50)/55.50 x 12/6 x 100
= 5.87%
3a)
|
Expected price(A)
|
Prob (B)
|
Product (Ax B)
|
Value of (C)
|
Expected value of call (B x C)
|
|
120
|
0.05
|
6
|
0
|
0
|
|
140
|
0.20
|
28
|
0
|
0
|
|
160
|
0.50
|
80
|
10
|
5
|
|
180
|
0.10
|
18
|
30
|
3
|
|
190
|
0.15
|
28.5
|
40
|
6
|
|
Expected value after 4 month
|
160.50
|
|
14
|
-
expected price after 4 month Rs. 160.50
-
if u read the question it has given Value of call if exercise price prevail and not expected price at the end of 4 months so if at the end of 4th month the price of asset is equivalent to exercise price of 150 then the value of call will be zero.( if the spot price will be 150 then it will equal to exercise price then the value of call is nil as the buyer will be indifferent). if the question would have specified exercise price prevails then the answer would have been different.. There may be other way of interpreting this question too.
-
If option is held till maturity expected value of call is 14
3b) option of paying in 60 days
Outflow ($ 2000000 x 57.10) 114,200,000.00
Option of paying in 90 days
-
if additional credit of 30 days taken from supplier
outflow for invoice 2000000.00
outflow for interest
($2000000 x 0.08 x 30/360*) 13333.33
Total outflow $2013333.33 x 57.50 115,766,666.48
-
If loan is taken from banker for 30 days
Outflow at 60th day
$2000000 x 57.10 = 114,200,000
Interest for 30 days
(114200000 x 0.10x 30/365*) 938630 115,138,630.00
(payment will be paid to supplier on 60th day by taking loan from bank)
Option of paying on 60th day is definitely better, but if the Z Ltd. does
not have own fund to remit USD to supplier on 60th day and have to
decide whether to take Bank loan or suppliers credit for another 30 days
then option of taking bank loan is better as outflow is less
* basis for calculating interest in USD is 30/360 and in INR is 30/365)