Fight Finance

Courses  Tags  Random  All  Recent  Scores

Question 99  capital structure, interest tax shield, Miller and Modigliani, trade off theory of capital structure

A firm changes its capital structure by issuing a large amount of debt and using the funds to repurchase shares. Its assets are unchanged.

Assume that:

  • The firm and individual investors can borrow at the same rate and have the same tax rates.
  • The firm's debt and shares are fairly priced and the shares are repurchased at the market price, not at a premium.
  • There are no market frictions relating to debt such as asymmetric information or transaction costs.
  • Shareholders wealth is measured in terms of utiliity. Shareholders are wealth-maximising and risk-averse. They have a preferred level of overall leverage. Before the firm's capital restructure all shareholders were optimally levered.

According to Miller and Modigliani's theory, which statement is correct?



Question 191  NPV, IRR, profitability index, pay back period

A project's Profitability Index (PI) is less than 1. Select the most correct statement:



Question 279  diversification

Do you think that the following statement is or ? “Buying a single company stock usually provides a safer return than a stock mutual fund.”


Question 337  capital structure, interest tax shield, leverage, real and nominal returns and cash flows, multi stage growth model

A fast-growing firm is suitable for valuation using a multi-stage growth model.

It's nominal unlevered cash flow from assets (##CFFA_U##) at the end of this year (t=1) is expected to be $1 million. After that it is expected to grow at a rate of:

  • 12% pa for the next two years (from t=1 to 3),
  • 5% over the fourth year (from t=3 to 4), and
  • -1% forever after that (from t=4 onwards). Note that this is a negative one percent growth rate.

Assume that:

  • The nominal WACC after tax is 9.5% pa and is not expected to change.
  • The nominal WACC before tax is 10% pa and is not expected to change.
  • The firm has a target debt-to-equity ratio that it plans to maintain.
  • The inflation rate is 3% pa.
  • All rates are given as nominal effective annual rates.

What is the levered value of this fast growing firm's assets?



Question 498  NPV, Annuity, perpetuity with growth, multi stage growth model

A business project is expected to cost $100 now (t=0), then pay $10 at the end of the third (t=3), fourth, fifth and sixth years, and then grow by 5% pa every year forever. So the cash flow will be $10.5 at the end of the seventh year (t=7), then $11.025 at the end of the eighth year (t=8) and so on perpetually. The total required return is 10℅ pa.

Which of the following formulas will NOT give the correct net present value of the project?



Question 521  NPV, Annuity

The following cash flows are expected:

  • 10 yearly payments of $80, with the first payment in 6.5 years from now (first payment at t=6.5).
  • A single payment of $500 in 4 years and 3 months (t=4.25) from now.

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



Question 578  inflation, real and nominal returns and cash flows

Which of the following statements about inflation is NOT correct?



Question 736  debt terminology

You bought a house, primarily funded using a home loan from a bank. Which of the following statements is NOT correct?



Question 793  option, hedging, delta hedging, gamma hedging, gamma, Black-Scholes-Merton option pricing

A bank buys 1000 European put options on a $10 non-dividend paying stock at a strike of $12. The bank wishes to hedge this exposure. The bank can trade the underlying stocks and European call options with a strike price of 7 on the same stock with the same maturity. Details of the call and put options are given in the table below. Each call and put option is on a single stock.

European Options on a Non-dividend Paying Stock
Description Symbol Put Values Call Values
Spot price ($) ##S_0## 10 10
Strike price ($) ##K_T## 12 7
Risk free cont. comp. rate (pa) ##r## 0.05 0.05
Standard deviation of the stock's cont. comp. returns (pa) ##\sigma## 0.4 0.4
Option maturity (years) ##T## 1 1
Option price ($) ##p_0## or ##c_0## 2.495350486 3.601466138
##N[d_1]## ##\partial c/\partial S##   0.888138405
##N[d_2]## ##N[d_2]##   0.792946442
##-N[-d_1]## ##\partial p/\partial S## -0.552034778  
##N[-d_2]## ##N[-d_2]## 0.207053558  
Gamma ##\Gamma = \partial^2 c/\partial S^2## or ##\partial^2 p/\partial S^2## 0.098885989 0.047577422
Theta ##\Theta = \partial c/\partial T## or ##\partial p/\partial T## 0.348152078 0.672379961
 

 

Which of the following statements is NOT correct?



Question 874  utility, return distribution, log-normal distribution, arithmetic and geometric averages

Who was the first theorist to endorse the maximisiation of the geometric average gross discrete return for investors (not gamblers) since it gave a "...portfolio that has a greater probability of being as valuable or more valuable than any other significantly different portfolio at the end of n years, n being large"?

(a) Daniel Bernoulli.