Question 1029 Buffett ratio
Tesla CEO Elon Musk asked a question to ARK Invest CEO Cathie Wood on 6 April 2021: "What do you think of the unusually high ratio of the S&P market cap to GDP?", to which Cathie Wood replied.
What are the units of this S&P500 market cap to GDP ratio, commonly known as the Buffett ratio?
For certain shares, the forward-looking Price-Earnings Ratio (##P_0/EPS_1##) is equal to the inverse of the share's total expected return (##1/r_\text{total}##). For what shares is this true?
Use the general accounting definition of 'payout ratio' which is dividends per share (DPS) divided by earnings per share (EPS) and assume that all cash flows, earnings and rates are real rather than nominal.
A company's forward-looking PE ratio will be the inverse of its total expected return on equity when it has a:
Question 1009 lemons problem, asymmetric information, adverse selection
Akerlof’s 1970 paper ‘The Market for "Lemons": Quality Uncertainty and the Market Mechanism’ provides a famous example of asymmetric information leading to market failure. This example is commonly known as the ‘Lemons Problem’. Imagine that half of all second hand cars are:
- Lemons worth $5,000 each. Lemons are bad second-hand cars with hidden faults that only the seller knows about; and the other half are
- Plums worth $10,000 each. Plums are good second-hand cars without faults.
Car buyers can’t tell the difference between lemon and plum cars.
Car sellers know whether their car is a lemon or a plum since they’ve driven the car for a long time. However, plum car owners cannot prove their cars’ higher quality to buyers. Also, lemon car owners are known to dis-honestly claim that their cars are plums.
What will be the market price of second hand cars?
If trader A has sold the right that allows counterparty B to buy the underlying asset from him at maturity if counterparty B wants then trader A is:
Question 1013 book build, initial public offering, capital raising, demand schedule
A firm is floating its stock in an IPO and its underwriter has received the following bids, listed in order from highest to lowest share price:
| IPO Book Build Bids | ||
| Bidders | Share price | Number of shares |
| $/share | millions | |
| BidderA | 2.5 | 2 |
| BidderB | 2 | 1.5 |
| BidderC | 1.5 | 4 |
| BidderD | 1 | 3 |
| BidderE | 0.5 | 2 |
Suppose that the firm's owner wishes to sell all of their 8 million shares, so no new money will be raised and no money will re-invested back into the firm. Which of the following statements is NOT correct?
A moped is a bicycle with pedals and a little motor that can be switched on to assist the rider. Mopeds are useful for quick transport using the motor, and for physical exercise when using the pedals unassisted. This offers the rider:
Question 434 Merton model of corporate debt, real option, option
A risky firm will last for one period only (t=0 to 1), then it will be liquidated. So it's assets will be sold and the debt holders and equity holders will be paid out in that order. The firm has the following quantities:
##V## = Market value of assets.
##E## = Market value of (levered) equity.
##D## = Market value of zero coupon bonds.
##F_1## = Total face value of zero coupon bonds which is promised to be paid in one year.
What is the payoff to debt holders at maturity, assuming that they keep their debt until maturity?
Question 625 dividend re-investment plan, capital raising
Which of the following statements about dividend re-investment plans (DRP's) is NOT correct?
A firm wishes to raise $50 million now. They will issue 7% pa semi-annual coupon bonds that will mature in 6 years and have a face value of $100 each. Bond yields are 5% pa, given as an APR compounding every 6 months, and the yield curve is flat.
How many bonds should the firm issue?
A one year European-style put option has a strike price of $4.
The option's underlying stock currently trades at $5, pays no dividends and its standard deviation of continuously compounded returns is 47% pa.
The risk-free interest rate is 10% pa continuously compounded.
Use the Black-Scholes-Merton formula to calculate the option price. The put option price now is:
Question 796 option, Black-Scholes-Merton option pricing, option delta, no explanation
Which of the following quantities from the Black-Scholes-Merton option pricing formula gives the risk-neutral probability that a European call option will be exercised?
Question 797 option, Black-Scholes-Merton option pricing, option delta, no explanation
Which of the following quantities from the Black-Scholes-Merton option pricing formula gives the risk-neutral probability that a European put option will be exercised?