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Question 49 inflation, real and nominal returns and cash flows, APR, effective rate

In Australia, nominal yields on semi-annual coupon paying Government Bonds with 2 years until maturity are currently 2.83% pa.

The inflation rate is currently 2.2% pa, given as an APR compounding per quarter. The inflation rate is not expected to change over the next 2 years.

What is the real yield on these bonds, given as an APR compounding every 6 months?

Question 154 implicit interest rate in wholesale credit, no explanation

A wholesale vitamin supplements store offers credit to its customers. Customers are given 30 days to pay for their goods, but if they pay within 5 days they will get a 1% discount.

What is the effective interest rate implicit in the discount being offered? Assume 365 days in a year and that all customers pay on either the 5th day or the 30th day. All of the below answer choices are given as effective annual interest rates.

Question 175 pay back period, no explanation

A project has the following cash flows. Normally cash flows are assumed to happen at the given time. But here, assume that the cash flows are received smoothly over the year. So the $250 at time 2 is actually earned smoothly from t=1 to t=2:

Project Cash Flows
Time (yrs)	Cash flow ($)
0	-400
1	200
2	250

What is the payback period of the project in years?

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 330 APR, effective rate, debt terminology

Which of the following statements about effective rates and annualised percentage rates (APR's) is NOT correct?

(a) Effective rates compound once over their time period. So an effective monthly rate compounds once per month.

(b) APR's compound more than once per year. So an APR compounding monthly compounds 12 times per year. The exception is an APR that compounds annually (once per year) which is the same thing as an effective annual rate.

(c) To convert an effective rate to an APR, multiply the effective rate by the number of time periods in one year. So an effective monthly rate multiplied by 12 is equal to an APR compounding monthly.

(d) To convert an APR compounding monthly to an effective monthly rate, divide the APR by the number of months in one year (12).

(e) To convert an APR compounding monthly to an effective weekly rate, divide the APR by the number of weeks in one year (approximately 52).

Question 507 leverage, accounting ratio

A firm has a debt-to-equity ratio of 60%. What is its debt-to-assets ratio?

Question 567 stock split, capital structure

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 614 debt terminology

Question 753 NPV, perpetuity, DDM

The following cash flows are expected:

A perpetuity of yearly payments of $30, with the first payment in 5 years (first payment at t=5, which continues every year after that forever).
One payment of $100 in 6 years and 3 months (t=6.25).

What is the NPV of the cash flows if the discount rate is 10% given as an effective annual rate?

Question 827 future, basis risk, no explanation

You intend to use futures on oil to hedge the risk of purchasing oil. There is no cross-hedging risk. Oil pays no dividends but it’s costly to store. Which of the following statements about basis risk in this scenario is NOT correct?