You are managing a portfolio of $1 million. Your target duration is 10 years, and you can invest in two bonds, a zero-coupon bond with maturity of five years and a perpetuity, each currently yielding 9.0%.

a. What weight of each bond will you hold to immunize your portfolio? (Round your answers to 2 decimal places.)

-zero coupon bond

-perpetuity bond

b. How will these weights change next year if target duration is now nine years? (Round your answers to 2 decimal places.)

-zero coupon bond

-Perpetuity bond

-

A pension fund manager is considering three mutual funds. The first is a stock fund, the second is a long-term government and corporate bond fund, and the third is a T-bill money market fund that yields a rate of 6%. The probability distribution of the risky funds is as follows:

The correlation between the fund returns is 0.13.

You require that your portfolio yield an expected return of 11%, and that it be efficient, on the best feasible CAL.

a. What is the standard deviation of your portfolio? (Round your answer to 2 decimal places.)

b. What is the proportion invested in the T-bill fund and each of the two risky funds? (Round your answers to 2 decimal places.)

You are considering a new product launch. The project will cost $950,000, have a 5-year life, and have no salvage value; depreciation is straight-line to zero. Sales are projected at 340 units per year; price per unit will be $15,945, variable cost per unit will be $11,950, and fixed costs will be $620,000 per year. The required return on the project is 9 percent, and the relevant tax rate is 22 percent. Based on your experience, you think the unit sales, variable cost, and fixed cost projections given here are probably accurate to within ±10 percent. What are the best-case and worst-case values for each of the projections? (Do not round intermediate calculations and round your answers to the nearest whole number, e.g., 32.) What are the best-case and worst-case OCFs and NPVs with these projections? (A negative answer should be indicated by a minus sign. Do not round intermediate calculations and round your answers to the nearest whole number, e.g., 32.) What are the base-case OCF and NPV? (Do not round intermediate calculations. Round your OCF answer to the nearest whole number, e.g., 32, and round your NPV answer to 2 decimal places, e.g., 32.16.) What are the OCF and NPV with fixed costs of $630,000 per year? (Do not round intermediate calculations. Round your OCF answer to the nearest whole number, e.g., 32, and round your NPV answer to 2 decimal places, e.g., 32.16.) What is the sensitivity of your base-case NPV to changes in fixed costs? (Enter your answer as a positive value. Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)

1a.Suppose that you pay $100,000,000 dollars for a factory that has an expected life of eight years and no salvage value. If the tax rate is 37.5%, and your EBITDA will be $20,000,000 per year for the next three years, and $36,000,000 for the following five years, what is your IRR? (Hint: EBITDA is the EBIT before depreciation and amortization expenses, which are non-cash.)

1b. For problem above suppose there is a $50,000,000 cash payment that you must make to tear down and clean up the factory in year 9, what’s the IRR?

A 30-year maturity bond making annual coupon payments with a coupon rate of 8% has duration of 11.37 years and convexity of 187.81. The bond currently sells at a yield to maturity of 9%.

a. Find the price of the bond if its yield to maturity falls to 8%. (Do not round intermediate calculations. Round your answers to 2 decimal places.)

b. What price would be predicted by the duration rule? (Do not round intermediate calculations. Round your answers to 2 decimal places.)

c. What price would be predicted by the duration-with-convexity rule? (Do not round intermediate calculations. Round your answers to 2 decimal places.)

d-1. What is the percent error for each rule? (Negative answers should be indicated by a minus sign. Do not round intermediate calculations. Round your answers to 2 decimal places.)

d-2. What do you conclude about the accuracy of the two rules?

• The duration-with-convexity rule provides more accurate approximations to the true change in price.

• The duration rule provides more accurate approximations to the true change in price.

e-1. Find the price of the bond if its yield to maturity increases to 10%. (Do not round intermediate calculations. Round your answers to 2 decimal places.)

e-2. What price would be predicted by the duration rule? (Do not round intermediate calculations. Round your answers to 2 decimal places.)

e-3. What price would be predicted by the duration-with-convexity rule? (Do not round intermediate calculations. Round your answers to 2 decimal places.)

e-4. What is the percent error for each rule? (Negative answers should be indicated by a minus sign. Do not round intermediate calculations. Round your answers to 2 decimal places.)

e-5. Are your conclusions about the accuracy of the two rules consistent with parts (a) – (d)?

• Yes

• No

The capital structure of Vermont Machinery Ltd. (VM) contains the following items. Equity: 2,000,000 ordinary shares, with face value of $1 per share. VM’s ordinary shares are currently trading at $5 per share. The company’s next dividend is estimated to be $0.50. This dividend is expected to grow at 3% per annum forever. The current market required rate of return of the shares is calculated as 13%.
Long-term bonds: 10,000 bonds maturing in 5 years, with a face value of $1000 per bond. The bond has a coupon rate of 6%, which is paid semi-annually. The current market price of a bond is $918.89 and the yield to maturity (the implied market required rate of return) of the bond is 8% per annum.
Preference share: 500,000 preference shares, with a face value $1 per share and paying a 12.5% preference dividend on the face value. Currently, VM’s preference share is trading at $1.25 per share.
Assume VM’s corporate tax rate is 30%. Calculate VM’s after-tax weighted average cost of capital (WACC)

The MoMi Corporation’s cash flow from operations before interest and taxes was $2.1 million in the year just ended, and it expects that this will grow by 5% per year forever. To make this happen, the firm will have to invest an amount equal to 15% of pretax cash flow each year. The tax rate is 21%. Depreciation was $270,000 in the year just ended and is expected to grow at the same rate as the operating cash flow. The appropriate market capitalization rate for the unleveraged cash flow is 14% per year, and the firm currently has debt of $4 million outstanding. Use the free cash flow approach to calculate the value of the firm and the firm’s equity. (Enter your answer in dollars not in millions.)

New-Project Analysis

The Campbell Company is considering adding a robotic paint sprayer to its production line. The sprayer's base price is $880,000, and it would cost another $19,000 to install it. The machine falls into the MACRS 3-year class (the applicable MACRS depreciation rates are 33.33%, 44.45%, 14.81%, and 7.41%), and it would be sold after 3 years for $637,000. The machine would require an increase in net working capital (inventory) of $18,500. The sprayer would not change revenues, but it is expected to save the firm $482,000 per year in before-tax operating costs, mainly labor. Campbell's marginal tax rate is 35%.

1. What is the Year 0 net cash flow?
   $
2. 
   
3. 
   
4. 
   
5. What are the net operating cash flows in Years 1, 2, and 3? Do not round intermediate calculations. Round your answers to the nearest dollar.

   Year 1	$
   Year 2	$
   Year 3	$

6. 
   
7. What is the additional Year 3 cash flow (i.e, the after-tax salvage and the return of working capital)? Do not round intermediate calculations. Round your answer to the nearest dollar.
   $
8. 
   
9. 
   
10. 
    
11. If the project's cost of capital is 11 %, what is the NPV of the project? Do not round intermediate calculations. Round your answer to the nearest dollar.
    $
    
    Should the machine be purchased?
    -Select-Yes or No

Cost of common stock equity   Ross Textiles wishes to measure its cost of common stock equity. The​ firm's stock is currently selling for ​$49.39. The firm just recently paid a dividend of ​$3.99. The firm has been increasing dividends regularly. Five years​ ago, the dividend was just ​$3.04. After underpricing and flotation​ costs, the firm expects to net ​$43.96 per share on a new issue. a.  Determine average annual dividend growth rate over the past 5 years. Using that growth​ rate, what dividend would you expect the company to pay next​ year? b. Determine the net​ proceeds, Nn​, that the firm will actually receive. c.  Using the​ constant-growth valuation​ model, determine the required return on the​ company's stock, r Subscript s​, which should equal the cost of retained​ earnings, r Subscript r. d.  Using the​ constant-growth valuation​ model, determine the cost of new common​ stock, r Subscript n. a.  The average annual dividend growth rate over the past 5 years is?

Compute the YTM:

You are going to value Lauryn’s Doll Co. using the FCF model. After consulting various sources, you find that Lauryn's has a reported equity beta of 1.5, a debt-to-equity ratio of 0.4, and a tax rate of 30 percent. Assume a risk-free rate of 5 percent and a market risk premium of 7 percent. Lauryn’s Doll Co. had EBIT last year of $46 million, which is net of a depreciation expense of $4.6 million. In addition, Lauryn's made $6.25 million in capital expenditures and increased net working capital by $3.6 million. Assume the FCF is expected to grow at a rate of 3 percent into perpetuity. What is the value of the firm?

How much should you deposit into a bank account annually in order to buy a property that you expect to cost $231400 in 4 years if the account pays 3% annual interest? You are able to deposit $1355 quarterly into a bank account that is paying 14% annually. How much will you be able to accumulate after 8 years? (Express your answer as a positive number and to two decimal places.)

What is the present value of a cash flow stream of $1,000 per year annually for 15 years that then grows at 2.0 percent per year forever when the discount rate is 8 percent? (Round intermediate calculations and final answer to 2 decimal places.)

consider the following two mutually exclusive projects

what is the cross over rate for these two projects

(Option leverage; straddle payoffs; replication; % margin) In the one-period binomial model, the current stock price of CAT (Caterpillar) is $90. Robert expects that in one year the stock price of CAT will be either $108 (up move) or $75 (down move). The exercise price of one-year European call (or put) option of CAT=$100 and risk-free rate r=2% per annum. Robert would like to construct a portfolio with the stock and cash to replicate the payoff of 1,000 units of “straddle” of CAT, where one unit of straddle is the combination of long one call option and long one put option with the same strike price.

(a) What are the gross payoffs ($) of 1,000 units of CAT straddle in the up and down move, respectively?

(b) How many shares of CAT does Robert need to buy/short now?

(c) How much money does Robert need borrow/save now?

(d) Calculate the percentage margin.

[Note: percentage margin=(equity)/(short position) or percentage margin=(equity)/(value of stock)]

(e) Calculate the current price of CAT straddle (per unit) in the one-period binomial setting.