X = [I(QT)-S]/2D
Where:
X = Daily rate in dollars.
Q = Summation of qualified withdrawals, other than withdrawals from the capital account, permitted from the fund.
T = Assumed effective tax rate of 30 pct.
S = Tax savings = (Q)(T).
I = Discount factor to be applied for vessels subject to 20-yr trading restriction = 4.660957; for vessels subject to 10-yr trading restriction = 2.158925; for vessels subject to 5-yr trading restriction = 1.469328 (value of $1 compounded at 8 pct for 20, 10, and 5 yr respectively).
D = 7,300 d for vessels subject to 20-yr trading restriction; 3,650 d for vessels subject to 10-yr trading restriction; 1,825 d for vessel subject to 5-yr trading restriction.
The formula may be further reduced to:
X = 0.5491436Q/7,300
for vessels subject to 20 year trading restriction,
X = 0.1738388Q/3,650
for vessels subject to 10 year trading restriction,
X = 0.0703992Q/1,825
for vessels subject to 5 year trading restriction.
Assume that a qualified agreement vessel has been constructed with qualified withdrawals from a fund. The total cost was $20 million of which $6 million was withdrawn from the fund for a downpayment. Pursuant to the agreement, an additional $4 million may be withdrawn from the fund to pay principal on indebtedness. Thus, $10 million has been or may be withdrawn from the fund with respect to this vessel. The daily rate of liquidated damages would be:
X = 0.5491436 (10,000,000)/7300 or X = $752.25
46 C.F.R. §390.12