A firm can issue 3 year annual coupon bonds at a yield of 10% pa and a coupon rate of 8% pa.

The beta of its levered equity is 2. The market's expected return is 10% pa and 3 year government bonds yield 6% pa with a coupon rate of 4% pa.

The market value of equity is $1 million and the market value of debt is $1 million. The corporate tax rate is 30%.

What is the firm's after-tax WACC? Assume a classical tax system.

A 90-day Bank Accepted Bill (BAB) has a face value of $1,000,000. The simple interest rate is 10% pa and there are 365 days in the year. What is its price now?

A wholesale shop offers credit to its customers. The customers are given 21 days to pay for their goods. But if they pay straight away (now) they get a 1% discount.

What is the effective interest rate given to customers who pay in 21 days? All rates given below are effective annual rates. Assume 365 days in a year.

A share just paid its semi-annual dividend of $10. The dividend is expected to grow at 2% every 6 months forever. This 2% growth rate is an effective 6 month rate. Therefore the next dividend will be $10.20 in six months. The required return of the stock is 10% pa, given as an effective annual rate.

What is the price of the share now?

A share just paid its semi-annual dividend of $5. The dividend is expected to grow at 1% every 6 months forever. This 1% growth rate is an effective **6 month** rate.

Therefore the next dividend will be $5.05 in six months. The required return of the stock 8% pa, given as an effective **annual** rate.

What is the price of the share now?

A fairly valued share's current price is $**4** and it has a total required return of **30**%. Dividends are paid annually and next year's dividend is expected to be $**1**. After that, dividends are expected to grow by **5**% pa in perpetuity. All rates are effective annual returns.

What is the expected dividend income paid at the end of the second year (t=**2**) and what is the expected capital gain from just after the first dividend (t=**1**) to just after the second dividend (t=**2**)? The answers are given in the same order, the dividend and then the capital gain.

The below screenshot of Microsoft's (MSFT) details were taken from the Google Finance website on 28 Nov 2014. Some information has been deliberately blanked out.

What was MSFT's approximate payout ratio over the last year?

Note that MSFT's past four quarterly dividends were $0.31, $0.28, $0.28 and $0.28.

You just entered into a fully amortising home loan with a principal of $**600,000**, a variable interest rate of **4.25**% pa and a term of **25** years.

Immediately after settling the loan, the variable interest rate suddenly falls to **4**% pa! You can't believe your luck. Despite this, you plan to continue paying the same home loan payments as you did before. How long will it now take to pay off your home loan?

Assume that the lower interest rate was granted immediately and that rates were and are now again expected to remain constant. Round your answer up to the nearest whole month.

**Question 693** boot strapping zero coupon yield, forward interest rate, term structure of interest rates

Information about three risk free Government bonds is given in the table below.

Federal Treasury Bond Data |
||||

Maturity |
Yield to maturity |
Coupon rate |
Face value |
Price |

(years) | (pa, compounding semi-annually) | (pa, paid semi-annually) | ($) | ($) |

0.5 | 3% | 4% | 100 | 100.4926 |

1 | 4% | 4% | 100 | 100.0000 |

1.5 | 5% | 4% | 100 | 98.5720 |

Based on the above government bonds' yields to maturity, which of the below statements about the spot zero rates and forward zero rates is **NOT** correct?

You're considering a business project which costs $**11**m now and is expected to pay a single cash flow of $**11**m in one year. So you pay $11m now, then one year later you receive $11m.

Assume that the initial $**11**m cost is funded using the your firm's **existing cash** so no new equity or debt will be raised. The cost of capital is **10**% pa.

Which of the following statements about the net present value (NPV), internal rate of return (IRR) and payback period is **NOT** correct?