1)The topic you can pick is the suppy chain management or vaue chain management.Also in finance yu can use shares and company valuation for your research.

suppy chain management or vaue chain management is a very good topic as it will help you understand why such a company is so successful and why it is diferent from others. it will help you identify the companies strategies and analysis of there strenght and weakness.Also it will help you understand how from history it has grown and what all challanges it has faced and because of it they have to change there value chain or supply chain.

if you want any more explanation on this you can mention in comments and please upvote it if you are satisfied with answer.

2)

Future Value of 1500 today after one year = 1500 * (1+r)^1

Value of 1556 due two years from now at the end of one year from now = 1556 / (1+r)^1

Hence,

3056 = 1500*(1+r) + 1556/(1+r)

3056 = 1500 + 1500r + 1556/(1+r)

1556 * (1+r) = 1500r *(1+r) + 1556

1556 + 1556r = 1500r^2 + 1500r + 1556

1556r = 1500r^2 + 1500r

56r = 1500r^2

a.

There will be two value for r,

r = 0% Answer

r = 56/1500 = 3.73% Answer

b.

Present Value of debt:

When r = 0%

A = 3056/(1+0.00) = 3056 Answer

When r = 3.73%

A = 3056/(1+0.0373) = 2946.11 Answer

Kindly do inform me in case you have any queries.