Fight Finance

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Question 269  time calculation, APR

A student won $1m in a lottery. Currently the money is in a bank account which pays interest at 6% pa, given as an APR compounding per month.

She plans to spend $20,000 at the beginning of every month from now on (so the first withdrawal will be at t=0). After each withdrawal, she will check how much money is left in the account. When there is less than $500,000 left, she will donate that remaining amount to charity.

In how many months will she make her last withdrawal and donate the remainder to charity?



Question 289  DDM, expected and historical returns, ROE

In the dividend discount model:

###P_0 = \dfrac{C_1}{r-g}###

The return ##r## is supposed to be the:



Question 383  Merton model of corporate debt, real option, option

In the Merton model of corporate debt, buying a levered company's debt is equivalent to buying the company's assets and:



Question 600  foreign exchange rate

A Chinese man wishes to convert AUD 1 million into Chinese Renminbi (RMB, also called the Yuan (CNY)). The exchange rate is 6.35 RMB per USD, and 0.72 USD per AUD. How much is the AUD 1 million worth in RMB?



Question 667  forward foreign exchange rate, foreign exchange rate, cross currency interest rate parity, no explanation

The Australian cash rate is expected to be 2% pa over the next one year, while the US cash rate is expected to be 0% pa, both given as nominal effective annual rates. The current exchange rate is 0.73 USD per AUD.

What is the implied 1 year USD per AUD forward foreign exchange rate?



Question 723  mean and median returns, return distribution, arithmetic and geometric averages, continuously compounding rate

Here is a table of stock prices and returns. Which of the statements below the table is NOT correct?

Price and Return Population Statistics
Time Prices LGDR GDR NDR
0 100      
1 99 -0.010050 0.990000 -0.010000
2 180.40 0.600057 1.822222 0.822222
3 112.73 0.470181 0.624889 0.375111
 
Arithmetic average 0.0399 1.1457 0.1457
Arithmetic standard deviation 0.4384 0.5011 0.5011
 

 



Question 740  real and nominal returns and cash flows, DDM, inflation

Taking inflation into account when using the DDM can be hard. Which of the following formulas will NOT give a company's current stock price ##(P_0)##? Assume that the annual dividend was just paid ##(C_0)##, and the next dividend will be paid in one year ##(C_1)##.



Question 841  gross domestic product, government spending

The government spends money on:

  • Goods and services such as defence, police, schools, hospitals and roads; and
  • Transfer payments (also called welfare) such as the pension, dole, disability support and student support.

When calculating GDP (=C+I+G+X-M), the ‘government spending’ component (G) is supposed to include:



Question 917  Macaulay duration, duration

Which of the following statements about Macaulay duration is NOT correct? The Macaulay duration:



Question 1004  CFFA, WACC, interest tax shield, DDM

Use the below information to value a mature levered company with growing annual perpetual cash flows and a constant debt-to-assets ratio. The next cash flow will be generated in one year from now, so a perpetuity can be used to value this firm. The firm's debt funding comprises annual fixed coupon bonds that all have the same seniority and coupon rate. When these bonds mature, new bonds will be re-issued, and so on in perpetuity. The yield curve is flat.

Data on a Levered Firm with Perpetual Cash Flows
Item abbreviation Value Item full name
##\text{OFCF}_1## $12.5m Operating free cash flow at time 1
##\text{FFCF}_1 \text{ or }\text{CFFA}_1## $14m Firm free cash flow or cash flow from assets at time 1
##\text{EFCF}_1## $11m Equity free cash flow at time 1
##\text{BondCoupons}_1## $1.2m Bond coupons paid to debt holders at time 1
##g## 2% pa Growth rate of OFCF, FFCF, EFCF and Debt cash flow
##\text{WACC}_\text{BeforeTax}## 9% pa Weighted average cost of capital before tax
##\text{WACC}_\text{AfterTax}## 8.25% pa Weighted average cost of capital after tax
##r_\text{D}## 5% pa Bond yield
##r_\text{EL}## 13% pa Cost or required return of levered equity
##D/V_L## 50% pa Debt to assets ratio, where the asset value includes tax shields
##n_\text{shares}## 1m Number of shares
##t_c## 30% Corporate tax rate
 

 

Which of the following statements is NOT correct?