Suppose there are two ratings categories: A and B, along wit…

Suppose there are two ratings categories: A and B, along with default. The ratings-migration probabilities look like this for a B-rated loan:   Rating in 1 year Probability A 0.07 B 0.92 Default 0.01     The yield on A rated loans is 4%; the yield on B rated loans is 5%. All term structures are flat (i.e. forward rates equal spot rates). A loan in default pays off 40% of its face value (e.g. $40) You have one loan in your portfolio, B-rated, 3-year, 5% coupon (paid annually), with $100 face value.   Compute the price of the loan next year (just before the first coupon is paid) if the borrower is upgraded to an A rating .

Use the following information on the given loan to answer th…

Use the following information on the given loan to answer the questions below- assume the payoffs occur one year from now and everything is normalized to a $1 investment:   Probability Loan payoffs Rf bond Corp Bond State 1 No Default 0.9 1.08 1.05 1.1 State 2 Default 0.1 0.90 1.05 0.5 Price ? $1 $.98   What is the market price of this loan?

A Financial Institution (FI) originates a pool of 500 30-yea…

A Financial Institution (FI) originates a pool of 500 30-year mortgages with monthly payments, each averaging $150,000 with a mortgage coupon rate of 8 percent. Assume that the entire mortgage portfolio is securitized to be sold as GNMA pass-throughs. The GNMA credit risk insurance fee is 6 basis points and that the FI’s servicing fee is 19 basis points. Assume no prepayments. What is the total amount of monthly mortgage payments from mortgage borrowers to the pool?

Suppose there are two ratings categories: A and B, along wit…

Suppose there are two ratings categories: A and B, along with default. The ratings-migration probabilities look like this for a B-rated loan:   Rating in 1 year Probability A 0.07 B 0.92 Default 0.01     The yield on A rated loans is 4%; the yield on B rated loans is 5%. All term structures are flat (i.e. forward rates equal spot rates). A loan in default pays off 40% of its face value (e.g. $40) You have one loan in your portfolio, B-rated, 3-year, 5% coupon (paid annually), with $100 face value.   Compute next year’s expected value for the loan.

ST loans (6 months) $50M Demand Deposits $300M LT…

ST loans (6 months) $50M Demand Deposits $300M LT loans (5 years) $200M 3-Month CD $100M 3 month Treasuries $100M Equity $50M 30-year (fixed rate) mortgage $100M   Consider the above bank balance sheet. Using the Repricing (Funding GAP) Model using a 1-year horizon, what is the impact of a 1% rate increase on the net interest income of the bank? How does the assumption about whether demand deposits are rate sensitive impact this effect?