KMW, Inc. plans to pay a dividend of $0.50 per share both 3 and 6 months from today. KMW's share price today is $36.00 and the continuously compounded quarterly interest rate is 1.5%. What is the price of a 6-month prepaid forward contract, which expires immediately after the second dividend?
Answer
$35.00
$35.02
$36.98
$37.00
Question 2
Question
The S&P 500 Index is priced at $950.46. The annualized dividend yield on the index is 1.40%. What is the price of a 6-month prepaid forward contract on the S&P 500 Index?
Answer
$943.83
$950.00
$964.26
$984.21
Question 3
Question
HAW, Inc. plans to pay a $1.10 dividend per share in 3 months and a $1.15 dividend in 6 months. HAW's share price today is $45.60 and the continuously compounded quarterly interest rate is 2.1%. What is the price of a forward contract, which expires immediately after the second dividend?
Answer
$45.28
$45.96
$45.60
$46.24
Question 4
Question
The S&P 500 Index is priced at $950.46. The annualized dividend yield on the index is 1.40%. The continuously compounded annual interest rate is 8.40%. What is the price of a forward contract that expires 9 months from today?
Answer
$937.48
$942.66
$984.36
$1001.69
Question 5
Question
Which of the following statements does NOT accurately reflect the relationship between securities and synthetic forward contracts?
Answer
Forward = stock - zero coupon bond
Zero coupon bond = stock - forward
Prepaid forward = forward - zero coupon bond
Stock = forward + zero coupon bond
Question 6
Question
The annualized dividend yield on the S&P 500 Index is 1.40%. The continuously compounded interest rate is 6.4%. If the 9-month forward price is $925.28 and the index is priced at $950.46, what is the profit/loss from a cash-and-carry strategy?
Answer
$25.18 loss
$25.18 gain
$61.50 loss
$61.50 gain
Question 7
Question
The price of an S&P 500 Index futures contract is $988.26 when you decide to enter a long position. When the position is closed the futures price is $930.32. If there are no settlement requirements, what is your dollar gain or loss? (Ignore opportunity costs.)
Answer
$14,485 loss
$14,485 gain
$57.94 loss
$57.94 gain
Question 8
Question
The price of an S&P 500 Index futures contract is $988.26 when you decide to enter a long position. When the position is closed the futures price is $930.32. If there are no settlement requirements, what is your percentage gain or loss under a 15.0% margin requirement? (Ignore opportunity costs.)
Answer
39% gain
39% loss
43% gain
43% loss
Question 9
Question
Consider an investment in five S&P 500 Index futures contracts at a price of $924.80. The initial margin requirement is 15.0% and the maintenance margin is 10.0%. If the continuously compounded interest rate is 5.0% what will the futures price need to be for a margin call to occur 10 days from now? Assume no settlement within the 10 days.
Answer
$852.64
$872.79
$898.63
$905.25
Question 10
Question
The S&P 500 Index price is $925.28 and its annualized dividend yield is 1.40%. LIBOR is 4.2%. How many futures contracts will you need to hedge a $25 million portfolio with a beta of 0.9 for one year?
Answer
105
120
80
95
Question 11
Question
Interest rates on the U.S. dollar are 5.4% and euro rates are 4.6%. Given a dollar per euro spot rate of 0.918, what is the 6-month forward rate ($/E)?
Answer
0.912
0.917
0.922
0.934
Question 12
Question
Interest rates on the U.S. dollar are 6.5% and euro rates are 5.5%. The dollar per euro spot rate is 0.950. What is the arbitrage profit on a required 1 million euro payment if the forward rate is 0.980 dollars per euro and the exchange occurs in one year?
Answer
$10,000
$21,000
$28,000
$34,000
Question 13
Question
An investor wants to hold 200 euro two years from today. The spot exchange rate is $1.31 per euro. If the euro denominated annual interest rate is 3.0% what is the price of a currency prepaid forward?
Answer
$200
$206
$231
$247
Question 14
Question
The manager of a blue chip growth stock mutual fund is trying to fully hedge the $650 million portfolio position during the last two months of the calendar year. The current price of the S&P 500 Index futures contract is 1200. If the mutual fund has a beta of 1.24, how many contracts will be needed to hedge the fund?
Answer
1,083
3,033
242,963
541,666
Question 15
Question
The current currency spot rate is $1.31 per euro. If dollar denominated interest rates are 3.0% and euro denominated interest rates are 4.0%, what is the likely dollar per euro exchange rate for a 2-year forward contract?