How it works
Problem 1The rights issue nobody read
L1.5.02A retail investor
Nordvik Telecom has 300 million shares trading at €9.00. To cut its debt it announces a 1-for-3 rights issue at €6.00. You hold 3,000 shares, but the letter goes unopened and your rights lapse without being sold for you.
How much value, in euros, have you lost compared with taking up or selling your rights?
Problem 2What P/E does a utility deserve?
L1.5.03 · L1.5.04An equity analyst
Westlake Water has just paid a dividend of $3.00 a share. Regulation keeps its growth steady at 2.5% a year, and investors require 7.5%. Next year's earnings are forecast at $4.10 a share.
What forward P/E (price ÷ next year's earnings) does the Gordon value imply?
Problem 3A negative share price
L1.5.03A model reviewer
A junior colleague values Kestrel Bio, which has just paid a $1.00 dividend, with the Gordon model. Dividends are growing 10% a year now, and they put in r = 8% and g = 9% “to be conservative”. The spreadsheet shows a negative price.
What is the right fix?
Problem 4Did the buyback make the shares cheaper?
L1.5.02 · L1.5.04A portfolio manager
Halden Foods has 200 million shares at $40.00, net income of $500m, EBITDA of $1,000m, debt of $2,000m and cash of $1,500m. It spends $1,000m of its cash buying back shares at $40.00. Assume the share price and net income do not change.
Which statement is right?
Problem 5Reporting a day in the index
L1.5.05 · L1.5.06A risk analyst
A cap-weighted index holds three stocks with weights at the start of the day of 50%, 30%, 20%. They return +4%, −2%, +10%. Your risk system stores log returns.
What log return should be stored for the index, to four decimal places?
Problem 6Which fund is riskier?
L1.5.06An insurer's investment committee
Fund A reports a monthly volatility of 4%. Fund B reports a daily volatility of 0.9%. Both managers say their fund is the calmer one.
Which fund has the higher annual volatility, assuming independent returns and 252 trading days?
Problem 7The cost of being short
L1.5.06 · L1.5.07A hedge fund's risk team
The fund shorted 5,000 shares of a UK retailer at £12.00. It held the short for 120 days at a borrow fee of 3% a year (actual/360, on the starting value), paid the lender a £0.30 dividend, and bought back at £10.50.
What is the fund's net profit, in pounds?
Problem 8Long the shares, short the shares
L1.5.01 · L1.5.07A regulator's risk analyst
An insurer holds €1 million of ordinary shares in Corvid Industries. A hedge fund is short €1 million of the same shares (50,000 shares at €20). You are asked to describe each one's worst case.
Which statement is right?
Your score
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