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Question 26  APR, effective rate

A European bond paying annual coupons of 6% offers a yield of 10% pa.

Convert the yield into an effective monthly rate, an effective annual rate and an effective daily rate. Assume that there are 365 days in a year.

All answers are given in the same order:

### r_\text{eff, monthly} , r_\text{eff, yearly} , r_\text{eff, daily} ###



Question 58  NPV, inflation, real and nominal returns and cash flows, Annuity

A project to build a toll bridge will take two years to complete, costing three payments of $100 million at the start of each year for the next three years, that is at t=0, 1 and 2.

After completion, the toll bridge will yield a constant $50 million at the end of each year for the next 10 years. So the first payment will be at t=3 and the last at t=12. After the last payment at t=12, the bridge will be given to the government.

The required return of the project is 21% pa given as an effective annual nominal rate.

All cash flows are real and the expected inflation rate is 10% pa given as an effective annual rate. Ignore taxes.

The Net Present Value is:



Question 183  bond pricing

A five year bond has a face value of $100, a yield of 12% and a fixed coupon rate of 6%, paid semi-annually.

What is the bond's price?



Question 199  NPV, DDM, no explanation

A stock is expected to pay the following dividends:

Cash Flows of a Stock
Time (yrs) 0 1 2 3 4 ...
Dividend ($) 0 6 12 18 20 ...
 

After year 4, the dividend will grow in perpetuity at 5% pa. The required return of the stock is 10% pa. Both the growth rate and required return are given as effective annual rates.

What will be the price of the stock in 7 years (t = 7), just after the dividend at that time has been paid?



Question 286  bill pricing

A 30-day Bank Accepted Bill has a face value of $1,000,000. The interest rate is 2.5% pa and there are 365 days in the year. What is its price now?



Question 563  correlation

What is the correlation of a variable X with itself?

The corr(X, X) or ##\rho_{X,X}## equals:



Question 900  Basel accord

Which of the following statements about the Basel 3 minimum capital requirements is NOT correct? Common equity tier 1 (CET1) comprises the highest quality components of capital that fully satisfy all of the following characteristics:



Question 909  money market, bank accepted bill

By convention, money market securities' yields are always quoted as:



Question 913  bill pricing, money market

A 90 day bank bill has a face value of $100,000.

Investor A bought the bill when it was first issued at a simple yield to maturity of 3% pa and sold it 20 days later to Investor B who expected to earn a simple yield to maturity of 5% pa. Investor B held it until maturity.

Which of the following statements is NOT correct?



Question 961  stock split, bonus issue

Which one of the following statements is NOT correct? A 1-for-4 bonus issue: