The Bank of Tinytown can only approve two loans but

The Bank of Tinytown can only approve two loans but has four loans that the credit department has identified. Given the data presented in Table 1 what are the expected return and standard deviation of the portfolio that has the least risk? Given the covariances, can the calculation be simplified? What will the risk of the portfolio be, given the simplification?

Table 1

Item

Loan Size

Return

Variance and Covariance

($ million)

(%)

Loan A

Loan B

Loan C

Loan D

Loan A

$ 1,600.0

11.0

0.1065

Loan B

$ 1,600.0

7.50

0.0425

0.0525

Loan C

$ 1,600.0

12.0

- 0.1000

0.0650

0.0975

Loan D

$ 1,600.0

8.0

0.0850

0.0355

0.0750

0.0825