A bank originates $150,000,000 worth of 30-year single-family mortgages funded b

Question

A bank originates $150,000,000 worth of 30-year single-family mortgages funded by demand deposits and the required amount of capital. Reserve requirements are 10 percent and the bank pays 32 basis points in deposit insurance premiums. The bank is earning a 6.25 percent coupon on the mortgages. The mortgages are priced at par and total monthly payments on the mortgages are $923,576. If the mortgages are securitized and deposits are reduced, how much will the bank save in the first year's reserve requirements and deposit insurance premiums in total? Assume the minimum risk-based capital requirement is 8 percent and that mortgages carry a 50 percent risk weight a)$144,460,800 b)$160,512,000 c)$165,476,200 d)$178,332,500 e)$181,249,300

Explanation / Answer

Answer:

Particulars Amount

Bank originates 150000000

Less: Reserves 10& (150000000*10%)

= 15000000

therefore total investment = 150000000-15000000

= 13500000

Less: 32 basis point charge = .32 on the amount

= (1350000*.32) = 43200000

Therefore net amount = 91800000

Add coupon interest = 9375000

Less payment every monthly = 923576*12= 11082912

Therefore the answer is option D ) applying the above logic it cannot be more than 178332500

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