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 overtime 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. 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 noncallable, investment-grade, nonconvertible/straight bonds.)

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?