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R*c
((1-tp) / ((1*cg)*(1-tc)) * Rp
annual rate of appreciation to get a desired after tax return (for non div c corp) [rc*]
(1+rp)^n = (1*x)^n (1 - tcg) + (tcg)
Investment = 1
rc* for div stock
(1+rp)^n = (1+x-div yield)^n (1-tcg) + tcg + div yield * (1-tax on div)
then subtract the div yield to find the appreciation rate
shareholder effective tax rate
1 - (rp / rc*)
SPDA - no penalty
Investment (1 + R)^n (1-t) + (investment * tax)
SPDA - penalty
Investment (1+R)^n (1-tax-penalty) + (investment * (tax + penalty)
Marginal tax rate w/full NOL deduct
tax rate in payoff year / (1+ discount rate)^years needed to payoff
Marginal tax rate 80% NOL deduct
Years to payoff = (total NOL / (future income * 80%))
(tax rate in payoff year * (1-80%)) + ((tax rate * 80%) / (1+discount)^payoff years)
Deferred Compensation - employeer
payment * (1+rcn)^n * ((1-tc0) / (1-tcn))
r is after tax return of the employer in n years
Deferred Compensation (D*) - employee
(payment (1-tp0) * (1+rp)^n) / (1-tpn)
r is of the after tax return employee in N years
Contribution to pension plan indifferent equation
((D* (1-tp0) / (1+ return of pension)^n) / (1-tpn)
After tax PV of immediate bonus
bonus * (1 - tax rate)
After tax pv of D*
PV of Dstar * (1-tcn)
PV of pension
pension amount * (1-tc0)
ATA using section 83(b)
Future stock price - ((future stock price - current stock price) tcg) - (current stock price tp * (1+ borrowing rate)^ vest years)
ATA when borrowing
F.S.P (1-tp) + tp F.S.P - tp (F.S.P - S.P.N) tcg - S.P.N tp (1+ borrowing rate)^ vest years
level of stock appreciation would you be indifferent between doing nothing and taking the 83 (b) election
step 1: Find the stock price that make the ATA of both equal
Pn (1-tp) = Pn - ((Pn - Po) tcg) - (po tp (1+borrowing rate)^ vesting years)
Step 2: After solving for Pn
(Pn/Po)^(1/vest years) - 1
level of stock appreciation would you be indifferent between doing nothing and taking the 83 (b) election, if rate changes
step 1: Find the stock price that make the ATA of both equal
Pn (1-tp) = Pn - ((Pn - Po) tcg) - (po tp(new rate) (1+borrowing rate)^ vesting years)
Step 2: After solving for Pn
(Pn/Po)^(1/vest years) - 1
What types of gains do you record during a NQO, and when?
Record during exercise year
Ordinary income. Amount is (price on exercise date - exercise price) * shares
Record when you sell stock
Capital gain. Amount is (Price on sell date - price on exercise date) * shares
What types of gains do you record during a ISO, and when?
Only record a gain during the sale of stock
Capital gain. Amount is (Sale price - exercise price) * number of shares
How much can a corporation deduct for a NQO
(price on exercise date - exercise price) * shares
How much does a corporation report as compensation expense in each period for a NQO
(FV at the grant date * # of options) / vesting period
How much can a corporation deduct for a ISO
Nothing
Tax on exercise when ISO
Shares * (Price at sale - exercise price) * tcg
reminder, corporation does not deduct anything
Tax on exercise of NQO
Shares (price at sale - exercise price) * personal tax rate
Present Value of Corporation deduction for NQO
(stock price - exercise price) * shares * tc
Present Value of Corporation deduction for ISO
None
why the appreciation of the stock after the exercise of the option is not relevant to the ISO/NQO choice
The stock appreciation is not needed after the exercise date because gains after exercise are taxed the same for ISO and NQO
After tax amount of NSO with immediate vesting
Step 1: Find the stock price at date of sale
current price * (1+appreciation rate)^ years held
Step 2: Put price in present value
Step 3: subtract exercise price
Step 4: Subtract exercise tax
(current price - exercise price) * tp
Step 5: subtract present value of tax on sale
find nondiscount tax (price from step 1 - current price) * tcg
The discount into the present value
then: take step 2 and subtract sum of steps 3-5
last step: multiple by # of shares
After tax amount of NSO with vesting on maturity
Step 1: Find the stock price at the date of sale
current price * (1+appreciation rate)^ years held
Step 2: Subtract exercise price
Step 3: Subtract exercise tax
(price from step 1 - exercise price) * tp
Step 4: take step 1 and subtract steps 2 and 3
Step 5: Discount step 4 into the present
Step 6: Multiply step 5 by # of shares
Are there benefits from exercising on vesting date or exercising on maturity date when ISO
There would be no tax difference between the options. You pay the tax when the shares are sold in either scenario
Equation to determine if an employee should exercise NQO when tax rates are expected to increase.
Exercise early if…
(Current stock price - exercise price) * (1- tc period 1) > B.S value * (1-tc period 2)
How much taxable income do you report on US tax return
US pretax income + any foreign branch pretax income
Total US taxes paid on a foreign branch
Step 1: Find Branch Income
Step 2: Calculate US tax on that income
Branch Income * US corporate tax rate
Step 3: Calculate Foreign tax on that income
Branch income * foreign corporate tax rate
Step 4: Subtract Foreign tax credit
Limited to lesser of US tax or foreign tax
Step 5: Calculate foreign tax carryforward (if needed)
if foreign tax is greater than us tax, then carryforward the difference between the two
Step 6: Calculate US taxes paid
Step 2 - Step 4
Effective Tax rate - 1 branch
(Taxes paid on US income + foreign taxes paid) / total pretax income (both countries)
Foreign Tax credit limit
Total foreign tax * US corporate tax rate
After tax return of subsidiary assets invested into foreign projects
R * (1 - foreign tax rate)
After tax return of subsidiary assets invested into financial portfolio
R * (1- foreign tax rate - us residual tax rate)
residual tax rate is US tax - foreign tax
Are foreign subsidiary business projects taxable in US
No, we don’t pay a tax on these projects. Only pay US tax on other projects like the financial portfolio
Net US tax liability for foreign portfolio
Step 1: Calculate income
Asset base x pretax return x weight of assets in portfolio
Step 2: Calculate US taxes paid
Income from step 1 * US tax rate
Step 3: Calculate foreign taxes paid
income from step 1 * foreign tax rate
Step 4: Calculate tax credit limit
income from step 1 * US tax rate (will be different from step 2 if there are multiple asset/investments)
Step 5: Calculate foreign tax credit
Lesser of step 2 or 3
Step 6: Calculate US net tax liability
Step 2 - Step 5
Minimum annual before-tax return in foreign country for firm to invest in foreign country
Step 1: Calculate US after tax return
US before tax return * (1 - US corp tax rate)
Step 2: Calculate required return
Number found in step 1 / (1 - foreign corp tax rate)
Before tax implicit tax
(US pretax return - required before tax return of foreign investment) / US pretax return
How much do the shareholders receive when target assets are bought and target is liquidated
Step 1: Calculate Targets ATA
Asset price - ((Asset price - Corp’s Basis in assets) * tc)
Step 2: calculate shareholders ATA
Amount found in step 1 - ((Amount found in step 1 - Shareholders basis) * tcg)
Present value of step up of asset basis
Step 1: Find annual incremental depreciation
(asset price - basis in assets) / years of amort/dep
Step 2: Calculate tax savings from this annual depreciation
Number found in step 1 * corp tax rate
Step 3: Use present value function
rate= discount rate, years= amort years, pmt = number found in step 2
Should a company take a section 338 election
Compare the additional corp taxes paid from the election and the money saved from the step up in basis.
Corp taxes paid: (ADSP - asset basis) * corporate tax rate
Present value of step up (different flashcard)
ADSP
Price + Liabilities + corp tax rate * (ADSP - Basis - NOL carryforward)
How do NOLs impact taxable income during section 338
NOLs affect the ADSP price, and directly decrease the taxable income
Shareholder ATA in taxable asset acquisition
Step 1: Find recognized gain
Sale price - asset basis - any NOL
Step 2: Calculate corporate taxes paid
recognized gain * tc
Step 3: Find after tax distribution
Recognized gain - corp taxes paid
Step 4: Find the shareholder gain
After tax distribution - shareholder basis
Step 5: Find the shareholder taxes paid
shareholder gain * tcg
Step 6: Find shareholder ATA
After tax distribution (step 3) - shareholder taxes paid
Indifference price for shareholders between asset sale and stock sale with no section 338
(shareholder ATA in asset sale - (shareholder basis * tcg)) / (1-tcg)
NPV for purchaser of taxable asset sale
FMV of assets with step up - sales price paid
NPV for purchaser of stock sale with no section 338
FMV of assets with no step up - sales price paid
Shareholder ATA of taxable stock acquisition without section338
Step 1: calculated capital gains
stock price - shareholder basis
Step 2: calculated capital gains tax
capital gain * tcg
Step 3: Find ATA
sales price - capital gains tax
Shareholder ATA of taxable stock acquisition with section338
Step 1: Find taxable income
stock price - shareholder basis
Step 2: Find ordinary income
Amount of accumulated depreciation
Step 3: find tax on ordinary income
ordinary income * tp
Step 4: Find capital gain
taxable income - ordinary income
Step 5: Find tax on capital gain
capital gain * tcg
Step 6: Find ATA
Price Paid - ordinary income taxes paid - capital gain taxes paid
Shareholder indifferent price between stock sale with section 338 and no 338
price with 338 election = price no election + (shareholders basis tcg - historical cost of assets X tcg + accumulated depreciation X toi) X (1-tcg)
Maximum price acquirers will pay for stock purchase with section 338 election
Acquire price with 338 election = (acquire price with no 338 election - tc X annuity factor X net tax basis of target assets) / (1-tc-annuity factor)
maximum price acquirer will pay in taxable asset sale given it will pay X in taxable stock acquistion
Asset Price - value of step up = taxable stock price
this turns into this equation
P - (((P - net basis of assets) / depreciation years (n)) X tc) X PV annuity factor = taxable stock price
Annuity factor should be greater than 1 (factor for recieving x amount for x years). Not the present value of a dollar
then solve for P
Minimum price shareholders will accept under a taxable asset sale given they will get paid X in taxable stock sale
Price of asset sale = (price of stock sale - net asset basis X tc) / (1-tc)
Should the acquirer make the 338 election (formula to find net gain/loss of making the election