Grace Hesketh is the owner of an extremely successful dress boutique in downtown Chicago. Although

high fashion is Grace's first love, she's also interested in investments, particularly bonds and other fixed

income securities. She actively manages her own investments and over time has built up a substantial

portfolio of securities. She's well versed on the latest investment techniques and is not afraid to apply

those procedures to her own investments.

Grace has been playing with the idea of trying to immunize a big chunk of her bond portfolio. She'd like

to cash out this part of her portfolio in seven years and use the proceeds to buy a vacation home in her

home state of Oregon. For this, she intends to use the $200,000 she now has invested in the following

four corporate bonds (she currently has $50,000 invested in each one).

1. A 12-year, 7.5% bond that's currently priced at $895

2. A 10-year, zero-coupon bond priced at $405

3. A 10-year, 10% bond priced at $1,080

4. A 15-year, 9.25% bond priced at $980

(Note: These are all non-callable, investment-grade, non-convertible/straight bonds.)

Questions

a. Given the information provided, find the current yield and the promised yield for each bond in

the portfolio. (Use annual compounding.)

b. Calculate the Macaulay and modified durations of each bond in the portfolio and indicate how

the price of each bond would change if interest rates were to rise by 75 basis points. How would

the price change if interest rates were to fall by 75 basis points?

c. Find the duration of the current four-bond portfolio. Given the seven-year target that Grace has

set, would you consider this an immunized portfolio? Explain.

d. How could you lengthen or shorten the duration of this portfolio? What's the shortest portfolio

duration you can achieve? What's the longest?

e. Using one or more of the four bonds described above, is it possible to come up with a $200,000

bond portfolio that will exhibit the duration characteristics Grace is looking for? Explain.

f. Using one or more of the four bonds, put together a $200,000 immunized portfolio for Grace.

Because this portfolio will now be immunized, will Grace be able to treat it a a buy-an-hold

portfolio - one can she put away and forget about? Explain.