A stock is expected to pay a dividend of $15 in one year (t=1), then $25 for 9 years after that (payments at t=2 ,3,...10), and on the 11th year (t=11) the dividend will be 2% less than at t=10, and will continue to shrink at the same rate every year after that forever. The required return of the stock is 10%. All rates are effective annual rates.
What is the price of the stock now?
A 30 year Japanese government bond was just issued at par with a yield of 1.7% pa. The fixed coupon payments are semi-annual. The bond has a face value of $100.
Six months later, just after the first coupon is paid, the yield of the bond increases to 2% pa. What is the bond's new price?
Question 522 income and capital returns, real and nominal returns and cash flows, inflation, real estate
A residential investment property has an expected nominal total return of 6% pa and nominal capital return of 2.5% pa. Inflation is expected to be 2.5% pa.
All of the above are effective nominal rates and investors believe that they will stay the same in perpetuity.
What are the property's expected real total, capital and income returns?
The answer choices below are given in the same order.
An investor bought a 10 year 2.5% pa fixed coupon government bond priced at par. The face value is $100. Coupons are paid semi-annually and the next one is in 6 months.
Six months later, just after the coupon at that time was paid, yields suddenly and unexpectedly fell to 2% pa. Note that all yields above are given as APR's compounding semi-annually.
What was the bond investors' historical total return over that first 6 month period, given as an effective semi-annual rate?
A man just sold a call option to his counterparty, a lady. The man has just now:
A stock is expected to pay a dividend of $5 per share in 1 month and $5 again in 7 months.
The stock price is $100, and the risk-free rate of interest is 10% per annum with continuous compounding. The yield curve is flat. Assume that investors are risk-neutral.
An investor has just taken a short position in a one year forward contract on the stock.
Find the forward price ##(F_1)## and value of the contract ##(V_0)## initially. Also find the value of the short futures contract in 6 months ##(V_\text{0.5, SF})## if the stock price fell to $90.
The Australian dollar's value was:
Did the Australian dollar or against the US dollar between these dates?
Below are some statements about European-style options on non-dividend paying stocks. Assume that the risk free rate is always positive. Which of these statements is NOT correct?
Question 892 foreign exchange reserve, foreign exchange rate, no explanation
The Chinese central bank has the largest amount of foreign currency reserves.
What could the large amounts of foreign exchange reserves held by the Chinese government be used for in a currency crisis? China's currency is called the Renminbi (RMB) or Yuan (CNY). In a Chinese currency crisis the Chinese government is likely to use its FX reserves to:
Question 924 foreign exchange rate, forward foreign exchange rate, arbitrage, forward interest rate, no explanation
Suppose that the yield curve in the United States of America and Australia is flat and that the current:
- USD federal funds rate is 1% pa;
- AUD cash rate is 1.5% pa;
- Spot AUD exchange rate is 1 USD per AUD;
- One year forward AUD exchange rate is 0.97 USD per AUD.
You suspect that there’s an arbitrage opportunity.
Which one of the following statements about the potential arbitrage opportunity is NOT correct?