6. Answer the following questions:

a) You invest $40,000 in a 3 month time deposit, starting from a settlement date of Oct 1, 2021, at a (money market) yield of 3.1%. What is the total amount you will receive at maturity (principal plus interest)? Please answer to the nearest $0.01.

b) U.S. corporate bonds pay seminannual coupons. Suppose a corporate bond that matures in 22 years with a 6% coupon rate has a yield of 6.9%. Given a face value of $100, what is the bond's price? (Round to nearest $0.01)

c) Let suppose you buy a T-note. The trade day is Oct 1, 2021. The note matures on Nov 15, 2022 with a 2% coupon and yield to maturity 1.7%. What is the clean price of the note, given face value of $100? (round to nearest $0.01).

d) Suppose that you receive $4,000 at year 4, $7,000 at year 7, and $6,000 at year 16. Given an interest rate 0.4%, what is the duration of these cash flows? (nearest 0.01 years)

e) Similarly to T-bonds, the 10-year T-notes are issued to mature on 15th of Feb, May, Aug or Nov.

A Treasury STRIP whose principal has been stripped from the on-the-run 10-year T-note is quoted on Oct 1, 2021 at a price of 72. What is its yield? (To the nearest 0.01%, but e.g. input 5.02% as 5.02 rather than 0.0502.)

The answer to these problems are a) 40,323.78 b) 89.89 c) 100.33 d) 9.37 e) 3.36.

I want the equations to get these answers.

Thank you!