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3505 M2 Fall 2014 Soltn Essay

Satisfactory Essays

Management of Depository Institutions 3505 Fall 2014

Problems:
1. A bank is planning to make a loan of $5,000,000 with duration of 7.5 years to “Jumbo Manufacturing”, a young and aggressive firm. The loan rate is 12% and the servicing fee is 50 basis points. The bank estimates that with a probability of 95%, the risk premium on the loan will not increase by more than 4.2%. The average cost of funds for the bank is 10 percent. The bank manager wants to use the RAROC approach to make a decision on approval/rejection of the loan:
a. What is RAROC? Explain the concept theoretically.
b. How does this model use the concept of duration to measure the credit risk of a loan?
c. How is the expected change in the credit premium of the …show more content…

Downward sloping.
Borrow short, lend long: Borrow for 2 years lend for 4.5 years: DL = 2 years, DA = 4.5 years

E = -[DA-DL x k] A [R/(1+R)] where, DL = 2 yrs R = -.01 k=1
E= {-(4.5025-2x1) (975)/1.0975} R
E= -(2.5025) (975)/1.0975 R = -2223.18 R.
This is a line between E and R.

Multiple Choice Questions

1. An FI has financial assets of $800 and equity of $50. If the duration of assets is 1.21 years and the duration of all liabilities is 0.25 years, what is the leverage-adjusted duration gap? a. 0.9000 years. b. 0.9600 years. c. 0.9756 years. d. 0.8844 years. e. Cannot be determined.
A= 800, E =50 DA =1.21, DL = .25. LADG = {1.21-.25 x 750/800}=1.21 -.23 = .98
2. Calculate the duration of a two-year corporate bond paying 6 percent interest annually, selling at par. Principal of $20M is due at the end of two years. a. 2 years. b. 1.91 years. c. 1.94 years. d. 1.49 years. e. 1.75 years.

M=2, R =6%, F =20M, P =20M. Cash flows= 1.2 and 21.2.
D =[1.2/1.06 + 21.2/(1.06)2]/20 =[1.13 +18.87x2]/20=38.87/20 =1.94

3. A $1,000 six-year Eurobond has an 8 percent coupon, is selling at par, and contracts to make annual payments of interest. The duration of this bond is 4.99 years. What will be the new price using the duration model if interest rates increase to 8.5 percent? a. $23.10. b. $976.90. c. $977.23. d. $1,023.10. e. -$23.10.

F= 1000, M =6, coupon = 8%, P=1000, D =4.99. R = 50bp.
P = P

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