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Question 7  DDM

For a price of $1040, Camille will sell you a share which just paid a dividend of $100, and is expected to pay dividends every year forever, growing at a rate of 5% pa.

So the next dividend will be ##100(1+0.05)^1=$105.00##, and the year after it will be ##100(1+0.05)^2=110.25## and so on.

The required return of the stock is 15% pa.

Would you like to the share or politely ?


Question 88  WACC, CAPM

A firm can issue 3 year annual coupon bonds at a yield of 10% pa and a coupon rate of 8% pa.

The beta of its levered equity is 2. The market's expected return is 10% pa and 3 year government bonds yield 6% pa with a coupon rate of 4% pa.

The market value of equity is $1 million and the market value of debt is $1 million. The corporate tax rate is 30%.

What is the firm's after-tax WACC? Assume a classical tax system.



Question 454  NPV, capital structure, capital budgeting

A mining firm has just discovered a new mine. So far the news has been kept a secret.

The net present value of digging the mine and selling the minerals is $250 million, but $500 million of new equity and $300 million of new bonds will need to be issued to fund the project and buy the necessary plant and equipment.

The firm will release the news of the discovery and equity and bond raising to shareholders simultaneously in the same announcement. The shares and bonds will be issued shortly after.

Once the announcement is made and the new shares and bonds are issued, what is the expected increase in the value of the firm's assets ##(\Delta V)##, market capitalisation of debt ##(\Delta D)## and market cap of equity ##(\Delta E)##? Assume that markets are semi-strong form efficient.

The triangle symbol ##\Delta## is the Greek letter capital delta which means change or increase in mathematics.

Ignore the benefit of interest tax shields from having more debt.

Remember: ##\Delta V = \Delta D+ \Delta E##



Question 483  PE ratio

The below screenshot of Microsoft's (MSFT) details were taken from the Google Finance website on 28 Nov 2014. Some information has been deliberately blanked out.

Image of MSFT on Google finance on 28 Nov 2014

What was MSFT's backwards-looking price-earnings ratio?



Question 587  option

Which of the following statements about option contracts is NOT correct? For every:



Question 593  future, arbitrage table

The price of gold is currently $700 per ounce. The forward price for delivery in 1 year is $800. An arbitrageur can borrow money at 10% per annum given as an effective discrete annual rate. Assume that gold is fairly priced and the cost of storing gold is zero.

What is the best way to conduct an arbitrage in this situation? The best arbitrage strategy requires zero capital, has zero risk and makes money straight away. An arbitrageur should sell 1 forward on gold and:



Question 607  debt terminology

You deposit cash into your bank account. Have you or your money?


Question 901  Basel accord

The below graph from the RBA shows the phase-in of the Basel 3 minimum regulatory capital requirements under the Basel Committee on Banking Supervision (BCBS) on the left panel and in Australia under the Australian Prudential Regulatory Authority (APRA) on the right panel.

Which of the following statements about the Basel 3 minimum regulatory capital requirements as at 2019 is NOT correct? All minimum amounts exclude the 2.5% counter-cyclical buffer.

The Basel 3 minimum regulatory capital requirement as a percent of Risk Weighted Assets (RWA) is:



Question 914  bill pricing, money market, return types

A bank bill was bought for $99,000 and sold for $100,000 thirty (30) days later. There are 365 days in the year. Which of the following formulas gives the simple interest rate per annum over those 30 days?


Note: To help you identify which is the correct answer without doing any calculations yourself, the formulas used to calculate the numbers are given.


Question 956  option, Black-Scholes-Merton option pricing, delta hedging, hedging

A bank sells a European call option on a non-dividend paying stock and delta hedges on a daily basis. Below is the result of their hedging, with columns representing consecutive days. Assume that there are 365 days per year and interest is paid daily in arrears.

Delta Hedging a Short Call using Stocks and Debt
 
Description Symbol Days to maturity (T in days)
    60 59 58 57 56 55
Spot price ($) S 10000 10125 9800 9675 10000 10000
Strike price ($) K 10000 10000 10000 10000 10000 10000
Risk free cont. comp. rate (pa) r 0.05 0.05 0.05 0.05 0.05 0.05
Standard deviation of the stock's cont. comp. returns (pa) σ 0.4 0.4 0.4 0.4 0.4 0.4
Option maturity (years) T 0.164384 0.161644 0.158904 0.156164 0.153425 0.150685
Delta N[d1] = dc/dS 0.552416 0.582351 0.501138 0.467885 0.550649 0.550197
Probability that S > K at maturity in risk neutral world N[d2] 0.487871 0.51878 0.437781 0.405685 0.488282 0.488387
Call option price ($) c 685.391158 750.26411 567.990995 501.487157 660.982878 ?
Stock investment value ($) N[d1]*S 5524.164129 5896.301781 4911.152036 4526.788065 5506.488143 ?
Borrowing which partly funds stock investment ($) N[d2]*K/e^(r*T) 4838.772971 5146.037671 4343.161041 4025.300909 4845.505265 ?
Interest expense from borrowing paid in arrears ($) r*N[d2]*K/e^(r*T) 0.662891 0.704985 0.594994 0.551449 ?
Gain on stock ($) N[d1]*(SNew - SOld) 69.052052 -189.264008 -62.642245 152.062648 ?
Gain on short call option ($) -1*(cNew - cOld) -64.872952 182.273114 66.503839 -159.495721 ?
Net gain ($) Gains - InterestExpense 3.516209 -7.695878 3.266599 -7.984522 ?
 
Gamma Γ = d^2c/dS^2 0.000244 0.00024 0.000255 0.00026 0.000253 0.000255
Theta θ = dc/dT 2196.873429 2227.881353 2182.174706 2151.539751 2266.589184 2285.1895
 

 

In the last column when there are 55 days left to maturity there are missing values. Which of the following statements about those missing values is NOT correct?