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Question 27  bill pricing, simple interest rate

A 180-day Bank Accepted Bill has a face value of $1,000,000. The interest rate is 8% pa and there are 365 days in the year. What is its price now?



Question 77  interest tax shield

The equations for Net Income (NI, also known as Earnings or Net Profit After Tax) and Cash Flow From Assets (CFFA, also known as Free Cash Flow to the Firm) per year are:

###NI=(Rev-COGS-FC-Depr-IntExp).(1-t_c)###

###CFFA=NI+Depr-CapEx - \varDelta NWC+IntExp###

For a firm with debt, what is the amount of the interest tax shield per year?



Question 92  CAPM, SML, CML

Which statement(s) are correct?

(i) All stocks that plot on the Security Market Line (SML) are fairly priced.

(ii) All stocks that plot above the Security Market Line (SML) are overpriced.

(iii) All fairly priced stocks that plot on the Capital Market Line (CML) have zero idiosyncratic risk.

Select the most correct response:



Question 293  covariance, correlation, portfolio risk

All things remaining equal, the higher the correlation of returns between two stocks:



Question 312  foreign exchange rate, American and European terms

If the current AUD exchange rate is USD 0.9686 = AUD 1, what is the American terms quote of the AUD against the USD?



Question 387  real option, option

One of the reasons why firms may not begin projects with relatively small positive net present values (NPV's) is because they wish to maximise the value of their:



Question 717  return distribution

The below three graphs show probability density functions (PDF) of three different random variables Red, Green and Blue. Let ##P_1## be the unknown price of a stock in one year. ##P_1## is a random variable. Let ##P_0 = 1##, so the share price now is $1. This one dollar is a constant, it is not a variable.

PDF graph

Which of the below statements is NOT correct? Financial practitioners commonly assume that the shape of the PDF represented in the colour:



Question 834  option, delta, theta, gamma, standard deviation, Black-Scholes-Merton option pricing

Which of the following statements about an option (either a call or put) and its underlying stock is NOT correct?

European Call Option
on a non-dividend paying stock
Description Symbol Quantity
Spot price ($) ##S_0## 20
Strike price ($) ##K_T## 18
Risk free cont. comp. rate (pa) ##r## 0.05
Standard deviation of the stock's cont. comp. returns (pa) ##\sigma## 0.3
Option maturity (years) ##T## 1
Call option price ($) ##c_0## 3.939488
Delta ##\Delta = N[d_1]## 0.747891
##N[d_2]## ##N[d_2]## 0.643514
Gamma ##\Gamma## 0.053199
Theta ($/year) ##\Theta = \partial c / \partial T## 1.566433
 

 



Question 865  option, Black-Scholes-Merton option pricing

A one year European-style call 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 call option price now is:



Question 995  duration

Find the Macaulay duration of a 2 year 5% pa semi-annual fixed coupon bond which has a $100 face value and currently has a yield to maturity of 8% pa. The Macaulay duration is: