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Question 178  bond pricing, premium par and discount bonds

Which one of the following bonds is trading at a discount?



Question 224  CFFA

Cash Flow From Assets (CFFA) can be defined as:



Question 422  takeover

Acquirer firm plans to launch a takeover of Target firm. The firms operate in different industries and the CEO's rationale for the merger is to increase diversification and thereby decrease risk. The deal is not expected to create any synergies. An 80% scrip and 20% cash offer will be made that pays the fair price for the target's shares. The cash will be paid out of the firms' cash holdings, no new debt or equity will be raised.

Firms Involved in the Takeover
Acquirer Target
Assets ($m) 6,000 700
Debt ($m) 4,800 400
Share price ($) 40 20
Number of shares (m) 30 15
 

Ignore transaction costs and fees. Assume that the firms' debt and equity are fairly priced, and that each firms' debts' risk, yield and values remain constant. The acquisition is planned to occur immediately, so ignore the time value of money.

Calculate the merged firm's share price and total number of shares after the takeover has been completed.



Question 517  DDM

A stock is expected to pay its next dividend of $1 in one year. Future annual dividends are expected to grow by 2% pa. So the first dividend of $1 will be in one year, the year after that $1.02 (=1*(1+0.02)^1), and a year later $1.0404 (=1*(1+0.02)^2) and so on forever.

Its required total return is 10% pa. The total required return and growth rate of dividends are given as effective annual rates.

Calculate the current stock price.



Question 624  franking credit, personal tax on dividends, imputation tax system, no explanation

Which of the following statements about Australian franking credits is NOT correct? Franking credits:



Question 626  cross currency interest rate parity, foreign exchange rate, forward foreign exchange rate

The Australian cash rate is expected to be 2% pa over the next one year, while the Japanese cash rate is expected to be 0% pa, both given as nominal effective annual rates. The current exchange rate is 100 JPY per AUD.

What is the implied 1 year forward foreign exchange rate?



Question 675  option, option profit, no explanation

Which of the below formulas gives the profit ##(\pi)## from being long a call option? Let the underlying asset price at maturity be ##S_T##, the exercise price be ##X_T## and the option price be ##f_{LC,0}##. Note that ##S_T##, ##X_T## and ##f_{LC,0}## are all positive numbers.



Question 741  APR, effective rate

A home loan company advertises an interest rate of 4.5% pa, payable monthly. Which of the following statements about the interest rate is NOT correct?



Question 793  option, hedging, delta hedging, gamma hedging, gamma, Black-Scholes-Merton option pricing

A bank buys 1000 European put options on a $10 non-dividend paying stock at a strike of $12. The bank wishes to hedge this exposure. The bank can trade the underlying stocks and European call options with a strike price of 7 on the same stock with the same maturity. Details of the call and put options are given in the table below. Each call and put option is on a single stock.

European Options on a Non-dividend Paying Stock
Description Symbol Put Values Call Values
Spot price ($) ##S_0## 10 10
Strike price ($) ##K_T## 12 7
Risk free cont. comp. rate (pa) ##r## 0.05 0.05
Standard deviation of the stock's cont. comp. returns (pa) ##\sigma## 0.4 0.4
Option maturity (years) ##T## 1 1
Option price ($) ##p_0## or ##c_0## 2.495350486 3.601466138
##N[d_1]## ##\partial c/\partial S##   0.888138405
##N[d_2]## ##N[d_2]##   0.792946442
##-N[-d_1]## ##\partial p/\partial S## -0.552034778  
##N[-d_2]## ##N[-d_2]## 0.207053558  
Gamma ##\Gamma = \partial^2 c/\partial S^2## or ##\partial^2 p/\partial S^2## 0.098885989 0.047577422
Theta ##\Theta = \partial c/\partial T## or ##\partial p/\partial T## 0.348152078 0.672379961
 

 

Which of the following statements is NOT correct?



Question 943  dividend date, ex dividend date

On which date would the stock price increase if the dividend and earnings are higher than expected?