Question: 5. Compute the value of a bond with a typical $1000 par value, a coupon rate of 2.25% with semi-annual payments, and a 30-year maturity

5. Compute the value of a bond with a typical $1000 par value, a coupon rate of 2.25% with semi-annual payments, and a 30-year maturity if investors required a yield to maturity of 1.08% on the bond (or 108 basis points).

6. Compute the value of the bond in b.5 if investors suddenly required a yield to maturity of 0.036% on the bond (or 360 basis points).

7. Compute the value of the bond in b.6 if there is a change of 48 basis points in the required yield due to a fall in the default risk of the debtor (where 1 basis point=0.01%, so the change is 0.48%)

8. Compute the value of the bond in b.6 if the bond is callable (without a make-whole call feature) and there is a change of 36 basis points in the required yield due to a rise in the chance of the debtor prepaying the principal of the bond (where 1 basis point=0.01%, so the change is 0.36%)

9. Compute the value of a bond that is identical to the bond in d.6 except that it is convertible into common stock at a fixed conversion ratio and therefore has a required yield to maturity that is 0.28% different from that in b.6 (i.e., different by 28 basis points).

10. Compute the value of a municipal bond that has characteristics identical to the bond in d.6 (including the same credit rating and default risk) and has a required yield to maturity that is 0.12% different from that in b.6 (i.e., different by 12 basis points).

11. Compute the annual expected inflation rate (forecasted by the consensus investor in the market) over the next 10 years by using the real interest rate which is quoted as the yield on Treasury Inflation Protected Securities (TIPS) at https://www.bloomberg.com/markets/rates-bonds/government-bonds/us

12. Compute the required yield on a 30-year bond that has a spread above Treasury rates of 0.0024% using data from the https://www.bloomberg.com/markets/rates-bonds/government-bonds/us

13. Compute the annual change in the Japanese Yen over the next 10 years if the Yen earns 0.0012% more than the market expectation of the change in the Yen using the websites https://www.bloomberg.com/markets/rates-bonds/government-bonds/us and https://www.bloomberg.com/markets/rates-bonds/government-bonds/japan websites

14. Compute the yield to maturity on a bond with a $1000 par value, a coupon rate of 3.75% with semi-annual payments, and a 13-year maturity if the price is $816.21

15. Explain whether a company would have to pay a higher or lower coupon rate on a bond with indenture terms mandating the posting of collateral, seniority of the claim of the lender in bankruptcy, and protective covenants (compared to a bond without such terms).

16. Compute how much interest a company would pay in 2023 on a 10-year, $100,012 dollar loan (which it takes out today) that has an interest rate contractually set to equal 2.75% above the 1-year Treasury bond yield on June 15 each year if that specified T-bond rate turns out to be 14.42% on June 15, 2023.

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