How it works
Problem 1One company or two hundred?
L1.1.01A financial adviser
A client has £20,000 to lend. A local firm offers a private loan. A bond fund instead spreads money equally across 200 issuers. Assume every borrower has a 3% chance of defaulting this year, independently, and a default loses that whole loan.
Which statement best describes the difference?
Problem 2Where did the money go?
L1.1.03 · L1.1.02A company treasurer
Your company sells 4 million new shares at €15 each, paying the underwriters fees of 3% of the money raised. On the same day, investors trade 2.5 million existing shares among themselves at €16.
How much cash does the company receive that day, in € millions?
Problem 3Futures or a forward?
L1.1.04 · L1.1.05An importer's treasurer
A UK importer must pay a German supplier €2,300,000 on 14 May. It wants to fix the exchange rate today. Euro futures on an exchange come in contracts of €125,000 and expire in June. Its bank offers a forward for the exact amount and date.
If it uses the whole number of futures contracts just below the exact need, how many euros are left unhedged?
Problem 4Walking the book
L1.1.06 · L1.1.07A trader at an asset manager
You must buy 2,500 shares at market. The order book (euros) shows:
| Side | Price | Shares |
|---|---|---|
| Ask | 25.08 | 2,000 |
| Ask | 25.05 | 1,000 |
| Ask | 25.03 | 700 |
| Ask | 25.02 | 800 |
| Bid | 24.98 | 900 |
| Bid | 24.96 | 1,200 |
How much more than the mid price does the whole order cost you, in €?
Problem 5All at once, or bit by bit?
L1.1.06 · L1.1.07The same trader
Your portfolio manager suggests that instead of one market order, you work the 2,500 shares with small limit orders at or just above the best bid over the afternoon.
Which statement best describes the choice?
Problem 6Reporting a fund's return
L1.1.08A performance analyst
A fund unit was worth 120.00 at the start of last year and 112.80 at the end. During the year it paid out a distribution of 2.40 per unit. This year it has returned +5%. Marketing wants to say the fund is “up 1% over two years”.
What is the correct two-year return, in %?
Problem 7Which fund is riskier?
L1.1.08 · L1.1.10A risk analyst
Two funds have the same average monthly return over six months. Fund Steady: 2%, 2%, 1%, 2%, 1%, 2%. Fund Swing: 9%, −6%, 8%, −5%, 7%, −3%.
Which is the better risk assessment?
Problem 8The broker fails overnight
L1.1.04 · L1.1.09 · L1.1.10An operations risk manager
Your fund dealt with one broker yesterday. It bought shares on an exchange, cleared through a CCP and due to settle T+1 by delivery versus payment. It also agreed a six-month currency forward with the same broker, bilateral and not cleared, on which the broker would owe you money today. Overnight, the broker goes bust.
Which exposure should worry you most?
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