A fixed coupon bond was bought for $90 and paid its annual coupon of $3 one year later (at t=1 year). Just after the coupon was paid, the bond price was $92 (at t=1 year). What was the total return, capital return and income return? Calculate your answers as effective annual rates.
The choices are given in the same order: ## r_\text{total},r_\text{capital},r_\text{income} ##.
The theory of fixed interest bond pricing is an application of the theory of Net Present Value (NPV). Also, a 'fairly priced' asset is not over- or under-priced. Buying or selling a fairly priced asset has an NPV of zero.
Considering this, which of the following statements is NOT correct?
Which one of the following is NOT usually considered an 'investable' asset for long-term wealth creation?
Which of the following companies is most suitable for valuation using PE multiples techniques?
If a variable, say X, is normally distributed with mean ##\mu## and variance ##\sigma^2## then mathematicians write ##X \sim \mathcal{N}(\mu, \sigma^2)##.
If a variable, say Y, is log-normally distributed and the underlying normal distribution has mean ##\mu## and variance ##\sigma^2## then mathematicians write ## Y \sim \mathbf{ln} \mathcal{N}(\mu, \sigma^2)##.
The below three graphs show probability density functions (PDF) of three different random variables Red, Green and Blue.
Select the most correct statement:
Question 723 mean and median returns, return distribution, arithmetic and geometric averages, continuously compounding rate
Here is a table of stock prices and returns. Which of the statements below the table is NOT correct?
Price and Return Population Statistics | ||||
Time | Prices | LGDR | GDR | NDR |
0 | 100 | |||
1 | 99 | -0.010050 | 0.990000 | -0.010000 |
2 | 180.40 | 0.600057 | 1.822222 | 0.822222 |
3 | 112.73 | 0.470181 | 0.624889 | 0.375111 |
Arithmetic average | 0.0399 | 1.1457 | 0.1457 | |
Arithmetic standard deviation | 0.4384 | 0.5011 | 0.5011 | |
Short selling is a way to make money from falling prices. In what order must the following steps be completed to short-sell an asset? Let Tom, Dick and Harry be traders in the share market.
- Step P: Purchase the asset from Harry.
- Step G: Give the asset to Tom.
- Step W: Wait and hope that the asset price falls.
- Step B: Borrow the asset from Tom.
- Step S: Sell the asset to Dick.
Select the statement with the correct order of steps.
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 |
Which of the following statements about Macaulay duration is NOT correct? The Macaulay duration: