Fight Finance

Courses  Tags  Random  All  Recent  Scores

Question 37  IRR

If a project's net present value (NPV) is zero, then its internal rate of return (IRR) will be:



Question 47  implicit interest rate in wholesale credit

A wholesale horticulture nursery offers credit to its customers.

Customers are given 60 days to pay for their goods, but if they pay immediately they will get a 3% discount.

What is the effective interest rate implicit in the discount being offered? Assume 365 days in a year and that all customers pay either immediately or on the 60th day. All rates given below are effective annual rates.



Question 142  DDM, income and capital returns

When using the dividend discount model to price a stock:

### p_{0} = \frac{d_1}{r - g} ###

The growth rate of dividends (g):



Question 345  capital budgeting, break even, NPV

Project Data
Project life 10 yrs
Initial investment in factory $10m
Depreciation of factory per year $1m
Expected scrap value of factory at end of project $0
Sale price per unit $10
Variable cost per unit $6
Fixed costs per year, paid at the end of each year $2m
Interest expense per year 0
Tax rate 30%
Cost of capital per annum 10%
 

Notes

  1. The firm's current liabilities are forecast to stay at $0.5m. The firm's current assets (mostly inventory) is currently $1m, but is forecast to grow by $0.1m at the end of each year due to the project.
    At the end of the project, the current assets accumulated due to the project can be sold for the same price that they were bought.
  2. A marketing survey was used to forecast sales. It cost $1.4m which was just paid. The cost has been capitalised by the accountants and is tax-deductible over the life of the project, regardless of whether the project goes ahead or not. This amortisation expense is not included in the depreciation expense listed in the table above.

Assumptions

  • All cash flows occur at the start or end of the year as appropriate, not in the middle or throughout the year.
  • All rates and cash flows are real. The inflation rate is 3% pa.
  • All rates are given as effective annual rates.

Find the break even unit production (Q) per year to achieve a zero Net Income (NI) and Net Present Value (NPV), respectively. The answers below are listed in the same order.



Question 361  CFFA

Over the next year, the management of an unlevered company plans to:

  • Make $5m in sales, $1.9m in net income and $2m in equity free cash flow (EFCF).
  • Pay dividends of $1m.
  • Complete a $1.3m share buy-back.

Assume that:

  • All amounts are received and paid at the end of the year so you can ignore the time value of money.
  • The firm has sufficient retained profits to legally pay the dividend and complete the buy back.
  • The firm plans to run a very tight ship, with no excess cash above operating requirements currently or over the next year.

How much new equity financing will the company need? In other words, what is the value of new shares that will need to be issued?



Question 638  option, option payoff at maturity, no explanation

Which of the below formulas gives the payoff ##(f)## at maturity ##(T)## from being long a put option? Let the underlying asset price at maturity be ##S_T## and the exercise price be ##X_T##.



Question 692  future, hedging, no explanation

The standard deviation of monthly changes in the spot price of corn is 50 cents per bushel. The standard deviation of monthly changes in the futures price of corn is 40 cents per bushel. The correlation between the spot price of corn and the futures price of corn is 0.9.

It is now March. A corn chip manufacturer is committed to buying 250,000 bushels of corn in May. The spot price of corn is 381 cents per bushel and the June futures price is 399 cents per bushel.

The corn chip manufacturer wants to use the June corn futures contracts to hedge his risk. Each futures contract is for the delivery of 5,000 bushels of corn. One bushel is about 127 metric tons.

How many corn futures should the corn chip manufacturer buy to hedge his risk? Round your answer to the nearest whole number of contracts. Remember to tail the hedge.



Question 717  return distribution

The below three graphs show probability density functions (PDF) of three different random variables Red, Green and Blue. Let ##P_1## be the unknown price of a stock in one year. ##P_1## is a random variable. Let ##P_0 = 1##, so the share price now is $1. This one dollar is a constant, it is not a variable.

PDF graph

Which of the below statements is NOT correct? Financial practitioners commonly assume that the shape of the PDF represented in the colour:



Question 856  credit terms, no explanation

Your supplier’s credit terms are "1/10 net 30". Which of the following statements about these credit terms is NOT correct?

If you intend to buy an item from your supplier for a tag price of $100 and you:



Question 943  dividend date, ex dividend date

On which date would the stock price increase if the dividend and earnings are higher than expected?