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Question 71  CAPM, risk

Stock A has a beta of 0.5 and stock B has a beta of 1. Which statement is NOT correct?



Question 329  DDM, expected and historical returns

In the dividend discount model:

### P_0= \frac{d_1}{r-g} ###

The pronumeral ##g## is supposed to be the:



Question 496  NPV, IRR, pay back period

A firm is considering a business project which costs $10m now and is expected to pay a single cash flow of $12.1m in two years.

Assume that the initial $10m cost is funded using the firm's existing cash so no new equity or debt will be raised. The cost of capital is 10% pa.

Which of the following statements about net present value (NPV), internal rate of return (IRR) and payback period is NOT correct?



Question 521  NPV, Annuity

The following cash flows are expected:

  • 10 yearly payments of $80, with the first payment in 6.5 years from now (first payment at t=6.5).
  • A single payment of $500 in 4 years and 3 months (t=4.25) from now.

What is the NPV of the cash flows if the discount rate is 10% given as an effective annual rate?



Question 571  foreign exchange rate

An Indonesian lady wishes to convert 1 million Indonesian rupiah (IDR) to Australian dollars (AUD). Exchange rates are 13,125 IDR per USD and 0.79 USD per AUD. How many AUD is the IDR 1 million worth?



Question 586  option

Which one of the following statements about option contracts is NOT correct?



Question 689  future, hedging

An equity index fund manager controls a USD1 billion diversified equity portfolio with a beta of 1.3. The equity manager fears that a global recession will begin in the next year, causing equity prices to tumble. The market does not think that this will happen. If the fund manager wishes to reduce her portfolio beta to 0.5, how many S&P500 futures should she sell?

The US market equity index is the S&P500. One year CME futures on the S&P500 currently trade at 2,062 points and the spot price is 2,091 points. Each point is worth $250. How many one year S&P500 futures contracts should the fund manager sell?



Question 748  income and capital returns, DDM, ex dividend date

A stock will pay you a dividend of $2 tonight if you buy it today.

Thereafter the annual dividend is expected to grow by 3% pa, so the next dividend after the $2 one tonight will be $2.06 in one year, then in two years it will be $2.1218 and so on. The stock's required return is 8% pa.

What is the stock price today and what do you expect the stock price to be tomorrow, approximately?



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 841  gross domestic product, government spending

The government spends money on:

  • Goods and services such as defence, police, schools, hospitals and roads; and
  • Transfer payments (also called welfare) such as the pension, dole, disability support and student support.

When calculating GDP (=C+I+G+X-M), the ‘government spending’ component (G) is supposed to include: