Bonds X and Y are issued by the same US company. Both bonds yield 10% pa, and they have the same face value ($100), maturity, seniority, and payment frequency.
The only difference is that bond X and Y's coupon rates are 8 and 12% pa respectively. Which of the following statements is true?
Portfolio Details | ||||||
Stock | Expected return |
Standard deviation |
Correlation ##(\rho_{A,B})## | Dollars invested |
||
A | 0.1 | 0.4 | 0.5 | 60 | ||
B | 0.2 | 0.6 | 140 | |||
What is the standard deviation (not variance) of returns of the above portfolio?
A person is thinking about borrowing $100 from the bank at 7% pa and investing it in shares with an expected return of 10% pa. One year later the person intends to sell the shares and pay back the loan in full. Both the loan and the shares are fairly priced.
What is the Net Present Value (NPV) of this one year investment? Note that you are asked to find the present value (##V_0##), not the value in one year (##V_1##).
Calculate the effective annual rates of the following three APR's:
- A credit card offering an interest rate of 18% pa, compounding monthly.
- A bond offering a yield of 6% pa, compounding semi-annually.
- An annual dividend-paying stock offering a return of 10% pa compounding annually.
All answers are given in the same order:
##r_\text{credit card, eff yrly}##, ##r_\text{bond, eff yrly}##, ##r_\text{stock, eff yrly}##
The CAPM can be used to find a business's expected opportunity cost of capital:
###r_i=r_f+β_i (r_m-r_f)###
What should be used as the risk free rate ##r_f##?
Question 446 working capital decision, corporate financial decision theory
The working capital decision primarily affects which part of a business?
A company conducts a 4 for 3 stock split. What is the percentage change in the stock price and the number of shares outstanding? The answers are given in the same order.
Question 575 inflation, real and nominal returns and cash flows
You expect a nominal payment of $100 in 5 years. The real discount rate is 10% pa and the inflation rate is 3% pa. Which of the following statements is NOT correct?
Question 693 boot strapping zero coupon yield, forward interest rate, term structure of interest rates
Information about three risk free Government bonds is given in the table below.
Federal Treasury Bond Data | ||||
Maturity | Yield to maturity | Coupon rate | Face value | Price |
(years) | (pa, compounding semi-annually) | (pa, paid semi-annually) | ($) | ($) |
0.5 | 3% | 4% | 100 | 100.4926 |
1 | 4% | 4% | 100 | 100.0000 |
1.5 | 5% | 4% | 100 | 98.5720 |
Based on the above government bonds' yields to maturity, which of the below statements about the spot zero rates and forward zero rates is NOT correct?
Question 825 future, hedging, tailing the hedge, speculation, no explanation
An equity index fund manager controls a USD500 million diversified equity portfolio with a beta of 0.9. The equity manager expects a significant rally in equity prices next year. The market does not think that this will happen. If the fund manager wishes to increase his portfolio beta to 1.5, how many S&P500 futures should he buy?
The US market equity index is the S&P500. One year CME futures on the S&P500 currently trade at 2,155 points and the spot price is 2,180 points. Each point is worth $250.
The number of one year S&P500 futures contracts that the fund manager should buy is: