Treasury And Risk Management
Treasury and Risk Management Question 1. A trader enters into a one-year short forward contract to sell an asset for $60 when the spot price is $58. The spot price in one year proves to be $63. What is the trader's gain or loss? Show a dollar amount and indicate whether it is a gain or loss.
Answer: The trader sells the contract for $60 and buys at a spot price of $63.
$60 - $63 = ($3).
$3 loss
Question 2. The price of a stock is $36 and the price of a three-month call option on the stock with a strike price of $36 is $3.60. Suppose a trader has $3,600 to invest and is trying to choose between buying 1,000 options and 100 shares of stock. How high does the stock price have to rise for an investment in options to lead to the same profit as an investment in the stock?
Answer: Let x = stock price.
(x – 36)100 = (x – 3.6)1,000 – 3,600
100x – 3,600 = 1,000x – 3,600 – 3,600
3,600 = 900x
x = 4
Stock price = $36 + $4 = $40
Question 3. Which of the following is true (circle one)
(a) Principals are not usually exchanged in a currency swap.
(b) The principal amounts usually flow in the opposite direction to interest payments at the beginning of a currency swap and in the same direction as interest payments at the end of the swap.
(c) The principal amounts usually flow in the same direction as interest payments at the beginning of a currency swap and in the opposite direction to interest payments at the end of the swap.
(d) Principals are not usually specified in a currency swap.
Question 4. What to the nearest cent, is the lower bound for the price of a two-year European call option on a stock when the stock price is $20, the strike price is $15 and the risk-free interest rate with continuous compounding is 5% and there are no dividends?
Answer: S0 – Ke(-rf*T)
20 – 15e(0.05*2) = $6.43
Answer: The trader sells the contract for $60 and buys at a spot price of $63.
$60 - $63 = ($3).
$3 loss
Question 2. The price of a stock is $36 and the price of a three-month call option on the stock with a strike price of $36 is $3.60. Suppose a trader has $3,600 to invest and is trying to choose between buying 1,000 options and 100 shares of stock. How high does the stock price have to rise for an investment in options to lead to the same profit as an investment in the stock?
Answer: Let x = stock price.
(x – 36)100 = (x – 3.6)1,000 – 3,600
100x – 3,600 = 1,000x – 3,600 – 3,600
3,600 = 900x
x = 4
Stock price = $36 + $4 = $40
Question 3. Which of the following is true (circle one)
(a) Principals are not usually exchanged in a currency swap.
(b) The principal amounts usually flow in the opposite direction to interest payments at the beginning of a currency swap and in the same direction as interest payments at the end of the swap.
(c) The principal amounts usually flow in the same direction as interest payments at the beginning of a currency swap and in the opposite direction to interest payments at the end of the swap.
(d) Principals are not usually specified in a currency swap.
Question 4. What to the nearest cent, is the lower bound for the price of a two-year European call option on a stock when the stock price is $20, the strike price is $15 and the risk-free interest rate with continuous compounding is 5% and there are no dividends?
Answer: S0 – Ke(-rf*T)
20 – 15e(0.05*2) = $6.43