PART 3 Bonds and Investment Options (10 points)

Jenna believes she could easily set aside $4000 of her $45,000 salary. She is considering putting her savings in a stock fund. She just turned 22 and has a long way to go until retirement at age 65, and she considers this risk level reasonable. The fund she is looking at has earned an average of 8% over the past 15 years and could be expected to continue earning this amount, on average. While she has no current retirement savings, five years ago Jennas grandparents gave her a new 30-year U.S. Treasury bond with a $10,000 face value.

Jenna wants to know her retirement income if she both (1) sells her Treasury bond at its current market value and invests the proceeds in the stock fund and (2) saves an additional $4000 at the end of each year in the stock fund from now until she turns 65. Once she retires, Jenna wants those savings to last for 25 years until she is 90.

1. Suppose Jennas Treasury bond has a coupon interest rate of 5.7%, paid semiannually, while current Treasury bonds with the same maturity date have a yield to maturity of 4.3567% (expressed as an APR with semiannual compounding). If she has just received the bonds 10th coupon, for how much can Jenna sell her treasury bond?
2. Suppose Jenna sells the bond, reinvests the proceeds, and then saves as she planned. If, indeed, Jenna earns an 8% annual return on her savings, how much could she withdraw each year in retirement? (Assume she begins withdrawing the money from the account in equal amounts at the end of each year once her retirement begins.)
3. Should Jenna sell her treasury bond and invest the proceeds in the stock fund? Give one reason for and against the plan?