# Download GTU MBA 2019 Summer 4th Sem 3549222 Risk Management Question Paper

Seat No.: ______________ Enrolment No.___________________

GUJARAT TECHNOLOGICAL UNIVERSITY
MBA ? SEMESTER 4 ? EXAMINATION ? SUMMER 2019

Subject Code: 3549222 Date:06/05/2019
Subject Name: Risk Management
Time: 10:30 AM To 01:30 PM Total Marks: 70

Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.

Q.1 Explain the terms
a) Interest rate swap
b) Currency Swap
c) Forward Contract
d) Future Contract
e) Option Contract
f) Swaption
g) MTM
14

Q.2 (a) What is the difference between exchange traded and over-the-counter
derivatives?
07
(b) What do you understand by risks and what are different ways of classifying and
managing them?
07
OR
(b) Explain various Greeks letter with suitable example. 07

Q.3 (a) The current price of share is Rs. 50, and it is believed that at the end of one month
the price will be either Rs. 55 or Rs. 45. What will be a European call option with
an exercise price of Rs. 53 on this share be values at, if the risk free rate of interest
is 15% per annum? Also calculate the hedge ratio.
07
(b) Suppose that on January 1, price of Infosys share is Rs. 450 and a party enter
into a forward contract for delivery of 1000 shares of Infosys on April 19 at
a price of Rs. 460. Find out the profit/ loss of seller (short position) if the price
of Infosys share turns out to be (i) Rs. 480 (ii) Rs. 400 on April 19.
07
OR
Q.3 (a) Explain the factors affecting to Option Pricing. 07
(b) Explain the principles of put-call parity with suitable example. 07

Q.4 (a) A jute manufacturing unit has planned production of 4300 kg of jute to be sold
six month later. The spot price of the jute is Rs 1900 per kg and 6 ? month futures
on the same is trading at Rs 1850 per kg. The price is expected to fall to as low
as Rs 1700 per kg six month later. What can the jute manufacturing unit do to
mitigate its risk of reduced profit? If decides to make use of future market what
would be the effective realized price for its sale when the spot and futures price
were Rs 1750 and Rs 1755.
07
(b) Hyundai motors exports cars to Germany, and every three months, it receives
EUR 500,000 from car shipments. On March 1, the exchange rate between the
07
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Seat No.: ______________ Enrolment No.___________________

GUJARAT TECHNOLOGICAL UNIVERSITY
MBA ? SEMESTER 4 ? EXAMINATION ? SUMMER 2019

Subject Code: 3549222 Date:06/05/2019
Subject Name: Risk Management
Time: 10:30 AM To 01:30 PM Total Marks: 70

Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.

Q.1 Explain the terms
a) Interest rate swap
b) Currency Swap
c) Forward Contract
d) Future Contract
e) Option Contract
f) Swaption
g) MTM
14

Q.2 (a) What is the difference between exchange traded and over-the-counter
derivatives?
07
(b) What do you understand by risks and what are different ways of classifying and
managing them?
07
OR
(b) Explain various Greeks letter with suitable example. 07

Q.3 (a) The current price of share is Rs. 50, and it is believed that at the end of one month
the price will be either Rs. 55 or Rs. 45. What will be a European call option with
an exercise price of Rs. 53 on this share be values at, if the risk free rate of interest
is 15% per annum? Also calculate the hedge ratio.
07
(b) Suppose that on January 1, price of Infosys share is Rs. 450 and a party enter
into a forward contract for delivery of 1000 shares of Infosys on April 19 at
a price of Rs. 460. Find out the profit/ loss of seller (short position) if the price
of Infosys share turns out to be (i) Rs. 480 (ii) Rs. 400 on April 19.
07
OR
Q.3 (a) Explain the factors affecting to Option Pricing. 07
(b) Explain the principles of put-call parity with suitable example. 07

Q.4 (a) A jute manufacturing unit has planned production of 4300 kg of jute to be sold
six month later. The spot price of the jute is Rs 1900 per kg and 6 ? month futures
on the same is trading at Rs 1850 per kg. The price is expected to fall to as low
as Rs 1700 per kg six month later. What can the jute manufacturing unit do to
mitigate its risk of reduced profit? If decides to make use of future market what
would be the effective realized price for its sale when the spot and futures price
were Rs 1750 and Rs 1755.
07
(b) Hyundai motors exports cars to Germany, and every three months, it receives
EUR 500,000 from car shipments. On March 1, the exchange rate between the
07
Indian Rupee and Euro is EUR 1= INR 70.7242. The euro interest rate is 6% per
annum, while interest rate in India is 9% per annum. Hyundai wants to hedge its
euro receipt through forward contract for the next 6 months. The 180-days
forward rate is EUR 1= INR 71.5642.
1. What type of hedging strategy could be suitable for Hyundai?
2. Calculate 90 days and 180 days theoretical forward rate.
3. Identify whether there is any arbitrage opportunity.
4. If there is an arbitrage opportunity, calculate the arbitrage profit for EUR
500,000.
OR
Q.4 (a) Form a straddle using given information. Also prepare a graph by taking
hypothetical spot price of stock.
Call Option
Exercise Price = 100, Premium = 8
Put Option
Exercise Price = 100, Premium = 8
07
(b) Form a Butterfly spread using given information. Also prepare a graph by taking
hypothetical spot price of stock.
Call Option
Exercise Price = 90, Premium = 11
Exercise Price = 100, Premium = 8
Exercise Price = 110, Premium = 6
07

Q.5 An investor buys/Sells 5 futures contract of gold at MCX of India. Each contract
is of 100 grams of gold. The price quotation is Rs. 21,500 per 10 grams. Initial
margin is set at 5%, while minimum margin is 90% of the initial margin. Find
out (Long Position & Short Position Both) the gain or loss on daily basis,
position of margin account and margin call if any on daily basis when the
contracts are marked-to-market. The clearing prices of the next 8 days are given
and it is also assumed that on 8
th
day investor square off his position at price Rs.
21800.
Day 0 1 2 3 4
Closing Price 21500 21450 21300 21400 21600
Day 5 6 7 8
Closing Price 21200 21500 21550 21800

14
OR
Q.5 Using the given data calculate the value of a call & put option as per Black &
Scholes model.
Stock Price Rs. 120
Time to expire 3 Months (t = 0.25 years)
Risk free rate of interest 10% p.a. continuously compounded
Standard deviation of stock 0.6
Exercise price Rs. 115
14

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