Quantitative Finance

# Introduction to Fixed Income: Level 1-2 Challenges

A Treasury bill is one of the safest investments in the bond market.

Alex invested $1000 at 10% annual interest, compounded annually. Brian invested$2000 at 5% annual interest, compounded annually.

After 2 years, how much more interest did Alex earn than Brian?

RAC is offering a Presidents Day (US holiday) special on a Samsung Galaxy.

You can choose between 2 payment plans:
1) 78 weekly worry-free payments of $29.99 each week, starting today. 2) A one-time payment of$829.00 due in 90 days.

Assuming that you want to buy this phone, what is the minimum (positive) daily interest rate that would make a person be indifferent between these payment plans?

10-year treasuries are currently yielding 3%. ABC issued a new 10-year bond with a A+ rating, and it has a 6% yield. What is the implied probability of ABC defaulting on the bond?

If your former high school math teacher opens a bank and loans you \$1000 at 10% monthly interest (compounded monthly), which of the following is the closest to the amount that you would owe after a year?

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