The required return of a project is 10%, given as an effective annual rate. Assume that the cash flows shown in the table are paid all at once at the given point in time.
What is the Net Present Value (NPV) of the project?
Project Cash Flows | |
Time (yrs) | Cash flow ($) |
0 | -100 |
1 | 0 |
2 | 121 |
Question 180 equivalent annual cash flow, inflation, real and nominal returns and cash flows
Details of two different types of light bulbs are given below:
- Low-energy light bulbs cost $3.50, have a life of nine years, and use about $1.60 of electricity a year, paid at the end of each year.
- Conventional light bulbs cost only $0.50, but last only about a year and use about $6.60 of energy a year, paid at the end of each year.
The real discount rate is 5%, given as an effective annual rate. Assume that all cash flows are real. The inflation rate is 3% given as an effective annual rate.
Find the Equivalent Annual Cost (EAC) of the low-energy and conventional light bulbs. The below choices are listed in that order.
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:
The accounting identity states that the book value of a company's assets (A) equals its liabilities (L) plus owners equity (OE), so A = L + OE.
The finance version states that the market value of a company's assets (V) equals the market value of its debt (D) plus equity (E), so V = D + E.
Therefore a business's assets can be seen as a portfolio of the debt and equity that fund the assets.
Let ##\sigma_\text{V total}^2## be the total variance of returns on assets, ##\sigma_\text{V syst}^2## be the systematic variance of returns on assets, and ##\sigma_\text{V idio}^2## be the idiosyncratic variance of returns on assets, and ##\rho_\text{D idio, E idio}## be the correlation between the idiosyncratic returns on debt and equity.
Which of the following equations is NOT correct?
You are promised 20 payments of $100, where the first payment is immediate (t=0) and the last is at the end of the 19th year (t=19). The effective annual discount rate is ##r##.
Which of the following equations does NOT give the correct present value of these 20 payments?
The 'time value of money' is most closely related to which of the following concepts?
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 $1. This one dollar is a constant, it is not a variable.
Which of the below statements is NOT correct? Financial practitioners commonly assume that the shape of the PDF represented in the colour:
Question 834 option, delta, theta, gamma, standard deviation, Black-Scholes-Merton option pricing
Which of the following statements about an option (either a call or put) and its underlying stock is NOT correct?
European Call Option | ||
on a non-dividend paying stock | ||
Description | Symbol | Quantity |
Spot price ($) | ##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 888 foreign exchange rate, speculation, no explanation
The current Australian exchange rate is 0.8 USD per AUD.
If you think that the AUD will depreciate against the USD, contrary to the rest of the market, how could you profit? Right now you should: