**Question 235** SML, NPV, CAPM, risk

The security market line (SML) shows the relationship between beta and expected return.

Investment projects that plot * on* the SML would have:

**Question 239** income and capital returns, inflation, real and nominal returns and cash flows, interest only loan

A bank grants a borrower an **interest-only** residential mortgage loan with a very large 50% deposit and a **nominal** interest rate of **6%** that is not expected to change. Assume that inflation is expected to be a **constant 2%** pa over the life of the loan. Ignore credit risk.

From the bank's point of view, what is the long term expected **nominal capital** return of the loan asset?

The Chinese government attempts to fix its exchange rate against the US dollar and at the same time use monetary policy to fix its interest rate at a set level.

To be able to fix its exchange rate and interest rate in this way, what does the Chinese government actually do?

- Adopts capital controls to prevent financial arbitrage by private firms and individuals.
- Adopts the same interest rate (monetary policy) as the United States.
- Fixes inflation so that the domestic real interest rate is equal to the United States' real interest rate.

Which of the above statements is or are true?

Which of the following investable assets are **NOT** suitable for valuation using PE multiples techniques?

The cheapest mobile phones available tend to be those that are 'locked' into a cell phone operator's network. Locked phones can not be used with other cell phone operators' networks.

Locked mobile phones are cheaper than unlocked phones because the locked-in network operator helps create a monopoly by:

Use the below information to value a levered company with annual perpetual cash flows from assets that grow. The next cash flow will be generated in one year from now. Note that ‘k’ means kilo or 1,000. So the $30k is $30,000.

Data on a Levered Firm with Perpetual Cash Flows | ||

Item abbreviation | Value | Item full name |

##\text{OFCF}## | $30k | Operating free cash flow |

##g## | 1.5% pa | Growth rate of OFCF |

##r_\text{D}## | 4% pa | Cost of debt |

##r_\text{EL}## | 16.3% pa | Cost of levered equity |

##D/V_L## | 80% pa | Debt to assets ratio, where the asset value includes tax shields |

##t_c## | 30% | Corporate tax rate |

##n_\text{shares}## | 100k | Number of shares |

Which of the following statements is **NOT** correct?

**Question 834** option, delta, theta, gamma, standard deviation, Black-Scholes-Merton option pricing

Which of the following statements about an option (either a call or put) and its underlying stock is **NOT** correct?

European Call Option |
||

on a non-dividend paying stock | ||

Description |
Symbol |
Quantity |

Spot price ($) | ##S_0## | 20 |

Strike price ($) | ##K_T## | 18 |

Risk free cont. comp. rate (pa) | ##r## | 0.05 |

Standard deviation of the stock's cont. comp. returns (pa) | ##\sigma## | 0.3 |

Option maturity (years) | ##T## | 1 |

Call option price ($) | ##c_0## | 3.939488 |

Delta | ##\Delta = N[d_1]## | 0.747891 |

##N[d_2]## | ##N[d_2]## | 0.643514 |

Gamma | ##\Gamma## | 0.053199 |

Theta ($/year) | ##\Theta = \partial c / \partial T## | 1.566433 |

A stock has an expected return of 10% pa and you're 90% sure that over the next year, the return will be between -15% and 35%. The stock's returns are normally distributed. Note that the Z-statistic corresponding to a **one**-tail:

- 90% normal probability density function is 1.282.
- 95% normal probability density function is 1.645.
- 97.5% normal probability density function is 1.960.

What is the stock’s standard deviation of returns in percentage points per annum (pp pa)?