Part 3 Flashcards
A client has 100 shares of GHI when the company
declares a 20% stock dividend. After the payment of
the dividend, the client has
A. a proportionately decreased interest in the
company
B. a proportionately increased interest in the company
C. no effective change in the value of the position
D. a 20% return on the investment
C
No new money into the company, just more shares.
Preferred stock
- Characteristics
a. Equity security with a _ (_) dividend
b. Purchased for _ purposes, behaves like _
Board still has to approve dividends, but must be paid _ common stock dividends.
Preferred stock
- Characteristics
a. Equity security with a fixed (stated) dividend
b. Purchased for income purposes, behaves like debt
Board still has to approve dividends, but must be paid before common stock dividends.
Types of Preferred Stock
- _- missed dividends are not paid later.
- _ Preferred - accrues payments due its shareholders in the event dividends are reduced or suspended.
- _ Preferred - a company can buy back from investors at a stated price after a specified date. Having the call price at a _ over par is one way to compensate for this additional risk (and inconvenience). Another is that the dividend rate on callable preferred stock is generally a bit _ than other preferred stock issued by the corporation.
- _ Preferred - owner can exchange the shares for a fixed number of shares of common stock of the issuing corporation. Issued with a _ stated dividend rate than nonconvertible preferred of the same quality because the investor may have the opportunity to convert to common shares and enjoy greater capital gain potential.
- _-Rate Preferred - dividends are usually tied to the rates of other interest rate benchmarks, such as Treasury bills and money market rates, and can be adjusted as often as _. Because the payment adjusts to current interest rates, the price of the stock remains relatively _.
For investors looking for fixed income through preferred stocks, _ would be their least appropriate choice.
Types of Preferred Stock
- Straight - missed dividends are not paid later.
- Cumulative Preferred - accrues payments due its shareholders in the event dividends are reduced or suspended.
- Callable Preferred - a company can buy back from investors at a stated price after a specified date. Having the call price at a premium over par is one way to compensate for this additional risk (and inconvenience). Another is that the dividend rate on callable preferred stock is generally a bit higher than other preferred stock issued by the corporation.
- Convertible Preferred - owner can exchange the shares for a fixed number of shares of common stock of the issuing corporation. Issued with a lower stated dividend rate than nonconvertible preferred of the same quality because the investor may have the opportunity to convert to common shares and enjoy greater capital gain potential.
- Adjustable-Rate Preferred - dividends are usually tied to the rates of other interest rate benchmarks, such as Treasury bills and money market rates, and can be adjusted as often as quarterly. Because the payment adjusts to current interest rates, the price of the stock remains relatively stable.
For investors looking for fixed income through preferred stocks, adjustable-rate would be their least appropriate choice.
Benefits of preferred stock ownership
a. Preference over common
1) Dividends
2) _ order
Risks of preferred stock
a. Because dividend is _, there is _ risk and _ risk.
b. Dividends are not _.
Benefits of preferred stock ownership
a. Preference over common
1) Dividends
2) Liquidation order
Risks of preferred stock
a. Because dividend is fixed, there is inflation risk and interest rate risk.
b. Dividends are not guaranteed.
American Depositary Receipts (ADRs)
- Facilitate the trading of foreign securities in the U.S. securities markets (domestically)
a. Foreign company _ stock
b. _ purchases the stock
c. Domestic bank then _ the ADR
d. Trades in _ and _ in U.S. markets. Dividends are in _.
e. No _ or _ rights for investor
- _ Rights - give a shareholder the opportunity to buy additional shares in any future issue of a company’s common stock before the shares are made available to the general public.
f. Investor subject to _ risk
American Depositary Receipts (ADRs)
- Facilitate the trading of foreign securities in the U.S. securities markets (domestically)
a. Foreign company issues stock
b. Domestic (U.S.) bank purchases the stock
c. Domestic bank then issues the ADR
d. Trades in dollars and English in U.S. markets. Dividends are in dollars.
e. No voting or preemptive rights for investor
- Preemptive Rights - give a shareholder the opportunity to buy additional shares in any future issue of a company’s common stock before the shares are made available to the general public.
f. Investor subject to currency risk
Valuation methods
1. Technical analysis
- a. Analyst charts a stock’s market price and volume over a period of time
- 1) Determine trends
- 2) Support and resistance
- A support level is the price range at which a technical analyst would expect the demand for a stock to _ substantially.
- The resistance level signifies the price at which a stock’s supply would be expected to _ substantially.
- 3) Moving averages
- b. Used to minimize timing risk
- c. Major technical theories include the following:
- 1) Short interest—high is bullish
- 2) Odd-lot—do the opposite
- 3) Advance/decline—_ of the market. If number of delclines are higher, even if market close higher, this still means _.
A technical analyst looking to smooth out the dailyvolatility of a stock’s performance would probably use
A. support and resistance
B. the odd-lot theory
C. moving averages
D. the advance/decline line
Valuation methods
1. Technical analysis
- a. Analyst charts a stock’s market price and volume over a period of time
- 1) Determine trends
- 2) Support and resistance
- A support level is the price range at which a technical analyst would expect the demand for a stock to increase substantially.
- The resistance level signifies the price at which a stock’s supply would be expected to increase substantially.
- 3) Moving averages
- b. Used to minimize timing risk
- c. Major technical theories include the following:
- 1) Short interest—high is bullish
- 2) Odd-lot—do the opposite
- 3) Advance/decline—breadth of the market. If number of delclines are higher, even if market close higher, this still means bearish.
A technical analyst looking to smooth out the dailyvolatility of a stock’s performance would probably use
C. moving averages
Fundamental analysis
a. Looks at the company’s financial statements (Unit 9)
b. Stock’s price should reflect earnings or dividend growth or decline
c. Used to minimize _ risk
Fundamental analysis
a. Looks at the company’s financial statements (Unit 9)
b. Stock’s price should reflect earnings or dividend growth or decline
c. Used to minimize business risk
Valuing Equity Securities
Dividend models
Dividend discount model (DDM)
- 1) _ value of future dividends using discounted cash flow (DCF) computation (Unit 13)
- r = D/P
If you have a $100 par, 6% preferred stock and the required rate of return is 8%, what shou Id the current market price of the stock be? You might encounter a question similar to this on the exam and you solve it by?
Dividend growth model (DGM)
- 1) Assumes _ of dividends
- (r=D/P + g)
An analyst is attempting to determine a reasonable value for a particular common stock. When comparing the result used by the two dividend models, it would be true to state that
- A. using the dividend discount model will result in a higher valuation than using the dividend growth model
- B. using the dividend growth model will result in a higher valuation than using the dividend discount model
- C. the valuation will be approximately the same, whichever model is used
- D. the dividend models can only be used with preferred stock
Valuing Equity Securities
Dividend models
Dividend discount model (DDM)
- 1) present value of future dividends using discounted cash flow (DCF) computation (Unit 13)
- r = D/P
If you have a $100 par, 6% preferred stock and the required rate of return is 8%, what shou Id the current market price of the stock be? You might encounter a question similar to this on the exam and you solve it by dividing the $6 dividend
(6% of the $100 par) by the 8% required rate of return: $6.00 / 0.08 = $75. In other words, if this preferred stock is selling for $75 per share, the $6 annual dividend will produce an 8% return on your investment.
Dividend growth model (DGM)
- 1) Assumes growth of dividends
An analyst is attempting to determine a reasonable value for a particular common stock. When comparing the result used by the two dividend models, it would be true to state that
- B. using the dividend growth model will result in a higher valuation than using the dividend discount model
Bond pricing
- Par (face) value—$_ each bond
- Par value × stated interest rate = annual interest
- a. _-annual interest payments
- b. 6% bond pays $30 each _ months
- Compute price
- a. Quoted as percentage of par
- 1) _ point = 1% of par = $10.00 (Both Gov. and Corp.)
- 2) Corporate/_ bonds: _ = $1.25. Fraction of $10, they are in 1/8, 90 1/4, 100 1/8, etc.
- 3) _ bonds: 32nds where _ = $.3125 (_=1/32 of $10). 0.16 = ½ = $5.00.
- b. Par, premium, or discount
Bond pricing
- Par (face) value—$1,000 each bond
- Par value × stated interest rate = annual interest
- a. Semi-annual interest payments
- b. 6% bond pays $30 each 6 months
- Compute price
- a. Quoted as percentage of par
- 1) 1 point = 1% of par = $10.00 (Both Gov. and Corp.)
- 2) Corporate/municipal bonds: 1/8 = $1.25. Fraction of $10, they are in 1/8, 90 1/4, 100 1/8, etc.
- 3) Government: 32nds where .01 = $.3125 (.01=1/32 of $10). 0.16 = ½ = $5.00.
- b. Par, premium, or discount
Corporates and Municipal
- Corporate and municipal bonds are quoted as a percentage of par where 100% = $1,000
- Each bond point represents $10, and the fractions are in eighths: each 1/8 = $_
- A bond quoted at 90¼ = _
- A bond quoted at 101¾ = _
Governments
■ Government bonds are quoted as a percentage of par.
■ Each point is $10, and each .1 represents _ of $10 ($0.3125).
- A government bond quoted at 90.8 (or 90.08) = _
- A government bond quoted at 101.24 = _
Corporates and Municipal
- Corporate and municipal bonds are quoted as a percentage of par where 100% = $1,000
- Each bond point represents $10, and the fractions are in eighths: each 1/8 = $1.25
- A bond quoted at 90¼ = 902.50
- A bond quoted at 101¾ = 1017.50
Governments
■ Government bonds are quoted as a percentage of par.
■ Each point is $10, and each .1 represents 1/32 of $10 ($0.3125).
- A government bond quoted at 90.8 (or 90.08) = 902.50
- A government bond quoted at 101.24 = 1017.5
Compute Bond Prices
• ABC 8s of 30 at 125 (or ABC 8s30 @ 125)
• Stated, nominal,coupon = _%
• Maturity date: _
• Current price:$_;
- Current Yield: _%
Compute Bond Prices
• ABC 8s of 30 at 125
• Stated, nominal,coupon = 8%
• Maturity date: 2030
• Current price:$1,250;
- Current Yield: 6.40%
Relationship of yields
- Coupon, nominal, stated
* a. Fixed at issuance - Current yield
- a. Annual interest ÷ current market price
- b. Above coupon if at a discount
- c. Below coupon if at a premium
- Yield to maturity
- a. Yield if held to maturity
- 1) Includes gain if bought at discount
- 2) Includes loss if bought at premium
- Yield to call
- a. Realized yield if bond is called
- 1) Loss of premium more quickly lowers return
What’s investment grade vs speculative grade(junk bonds) for S&Ps vs Moody’s?
Standard & Poor’s
Investment Grade: AAA, AA, A, BBB
Speculative: BB and below
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Moody’s
Investment Grade: Aaa, Aa, A, Baa
Speculative: Ba and below
Parity price of convertible bonds
- Bond is convertible into _ number of common shares
- Price when bond and stock are at _ value
Example:
$1000 par value bond with conversion price of $40.
Calculate conversion to common: $_/$_= _shares
What is the bond parity price if common stock is trading at $50/share?
Parity price = _ of common x Coversion shares = $_ x _= $_.
Parity price of convertible bonds
- Bond is convertible into fixed number of common shares
- Price when bond and stock are at equal value
Example
$1000 par value bond with conversion price of $40.
Calculate conversion to common: $1000/$40 = 25 shares
What is the bond parity price if common stock is trading at $50/share?
Parity price = CMV of common x Coversion shares = $50 x 25 = $1250.
Duration
- Measures volatility of bond prices by weighting the time the bond interest takes to pay for the bond
- Longer duration means _ bond volatility
- a. Interest rates up, bond price down; interest rates down, price up based on duration
- b. Zero coupon bond’s duration is its _ — most _
- If maturities are about the same, lowest coupon has _ duration and highest coupon has _ duration (_ sensitive)
- If coupons are about the same, latest maturity has _ duration and soonest maturity has _ duration (_ sensitive)
- Convexity is a more sophisticated measurement of sensitivity to interest rate changes
Duration
- Measures volatility of bond prices by weighting the time the bond interest takes to pay for the bond
- Longer duration means higher bond volatility
- a. Interest rates up, bond price down; interest rates down, price up based on duration
- b. Zero coupon bond’s duration is maturity—most volatile
- If maturities are about the same, lowest coupon has longest duration and highest coupon has shortest duration (least sensitive)
- If coupons are about the same, latest maturity has longest duration and soonest maturity has shortest duration (least sensitive)
- Convexity is a more sophisticated measurement of sensitivity to interest rate changes
Rules for using Duration to Manage Bond Portfolios
Interest goes up or down, what kind of bonds to buy?
If interest rates are expected to rise, shorten duration (Interest rates up, shorten Duration)
Remember: UPS: UP for “up” and S for “shorten”)
If interest rates are expected to fall, lengthen duration. Buy low coupon bonds with long maturities.
Interest rates fall → lengthen duration.
Remember: FALLEN - FAL for “fall” and LEN for “Lengthen.”
Discounted Cash Flow (DCF)
- It is commonly used to value _ securities
- Bond’s price will always reflect a yield equal to current market interest rates for comparable risk.
- a. Take the income payments scheduled to be received over a given future period and adjust that for the time value of money
- 1) Discount rate is _ to the current market interest rates
- b. Take the future principal repayment—use the discount rate to compute the present value
- A client interested in fixed income is viewing different bonds with the same rating and a coupon of 6%. Using the DCF method, which bond should have the highest market value?
A. 5-year maturity when the discount rate is 4%
B. 5-year maturity when the discount rate is 8%
C. 10-year maturity when the discount rate is 4%
D. 10-year maturity when the discount rate is 8% - The value of the bond is the present value of its cash flow stream.
- a. The higher the discounted cash flow, (the sum of present value of the income and principal) the _ the value of the bond.
- b. Cash flow analysis on mortgage-backed debt uses _ maturities.
- c. When used with equities, it is the dividend discount model.
- 1) Only dividends, no _ value
Discounted Cash Flow (DCF)
- It is commonly used to value debt securities
- Bond’s price will always reflect a yield equal to current market interest rates for comparable risk
- a. Take the income payments scheduled to be received over a given future period and adjust that for the time value of money
- 1) Discount rate is equal to the current market interest rates
- b. Take the future principal repayment—use the discount rate to compute the present value
- A client interested in fixed income is viewing different bonds with the same rating and a coupon of 6%. Using the DCF method, which bond should have the highest market value?
C. 10-year maturity when the discount rate is 4%
when the current interest rate in the market place (that is what the discount rate represents) is less than the coupon, the bond price is higher (as interest rates go down, bond prices go up). And, if the current market interest rate is higher than the coupon rate, the bond’s price will be lower (when interest rates increase, bond prices fall). That would narrow the choices to the two 4% bonds. That is, a bond with a 6% coupon should sell at premium when current interest rates are at4% and when interest rates are at 8%, the 6% bond should be selling at a discount. Then, as we’ve just learned with duration, when interest rates change, the longer the time to maturity, the greater the effect on the market price of a bond. - The value of the bond is the present value of its cash flow stream.
- a. The higher the discounted cash flow, (the sum of present value of the income and principal) the higher the value of the bond.
- b. Cash flow analysis on mortgage-backed debt uses average maturities.
- c. When used with equities, it is the dividend discount model.
- 1) Only dividends, no maturity value
U.S. government securities: the safest issuer of debt in terms of default risk in the United States— interest tax-exempt at the state and local level
- Active secondary trading (negotiable)
a. T-bills ( no _)
b. T-notes
c. T-bonds
d. Treasury Inflation Protection Securities (TIPS)—offer _ protection
- 1) Semiannual adjustment to principal based on _
2. Benefits of government issues include the following: - a. Safety
- b. Liquidity
- c. Best place to be when recession and _ are predicted
- Risks of government issues include the following:
- a. Lower yields
- b. Interest rate risk
- 1) Inverse relationship between interest rates and bond prices
- c. Inflation risk (except TIPS)
U.S. government securities: the safest issuer of debt in terms of default risk in the United States— interest tax-exempt at the state and local level
- Active secondary trading (negotiable)
a. T-bills ( no coupon interest)
b. T-notes
c. T-bonds
d. Treasury Inflation Protection Securities (TIPS)—offer inflation protection
- 1) Semiannual adjustment to principal based on CPI
2. Benefits of government issues include the following: - a. Safety
- b. Liquidity
- c. Best place to be when recession and deflation are predicted
- Risks of government issues include the following:
- a. Lower yields
- b. Interest rate risk
- 1) Inverse relationship between interest rates and bond prices
- c. Inflation risk (except TIPS)
Government agency issues
older ones have _ attached, new ones are _ entry
- Government National Mortgage Association (GNMA or Ginnie Mae)
- Only agency issue _ by the full faith and credit of the U.S. government
- _-through certificate - homeowner pay mortgage, payments collected in pool, then pass through proportionally to investors.
- _ income
- Federal National Mortgage Corporation (FNMA or Fannie Mae)
* a. Pass-through certificate, _ income
Government agency issues
older ones have coupons attached, new ones are book entry
- Government National Mortgage Association (GNMA or Ginnie Mae)
- Only agency issue backed by the full faith and credit of the U.S. government
- Pass-through certificate - homeowner pay mortgage, payments collected in pool, then pass through proportionally to investors.
- monthly income
- Federal National Mortgage Corporation (FNMA or Fannie Mae)
* a. Pass-through certificate, semi-annual income
A client has a TIPS with a coupon rate of 4.5%. The inflation rate has been 7% for the last year. What is the inflation-adjusted return?
A. -2.5%
B. 4.5%
C. 7.0%
D. 11.5%
Answer: B. TIPS adjust the principal value every 6 months to account for the inflation rate. Therefore, the real rate of return will always be the coupon.
TIPS
- These notes are issued with a fixed interest rate, but the _ amount is adjusted semiannually by an amount equal to the change in the Consumer Price Index,
- The interest payment the investor receives every six months is equal to the fixed interest rate times the _ principal. During times of inflation, the interest payments _, while during times of deflation, the _ payments fall.
- These notes are sold at _ interest rates than conventional fixed-rate Treasury notes because of their adjustable nature.
- In any year when the principal is adjusted for inflation, that increase is considered _ income for that year even though the increase will not be received until the note _.
EXAMPLE
If you have a TIPS bond with a 3% coupon and the annual inflation rate is 4% for the next two years, here is what happens:
Each six months, you will receive 1.5% (half of the annual 3% coupon) of the principal value as adjusted for the inflation rate. If the inflation rate is 4% per year, that is 2% each six months. So, after the first semiannual period, the principal value of the bond is now $1,020 (102% x $1,000). Therefore, the first interest check will be 1.5% x $1,020, or $15.30. Six months later, the adjusted principal value is $1,040.40 (102% x $1,020), so that interest check will be for $15.61 ($1,040.40 x 1.5%). As we continue into the next year, the principal will increase to $1,061.21 ($1,040.40 x 102%) and the interest check will be for $15.92. Because we’re only looking at two years, the ending principal value will be $1,082.43 with the final interest check of $16.24. As you can see, both the income from the TIPS and its principal value are increasing at a compounded rate based upon inflation.
TIPS
- These notes are issued with a fixed interest rate, but the principal amount is adjusted semiannually by an amount equal to the change in the Consumer Price Index,
- The interest payment the investor receives every six months is equal to the fixed interest rate times the newly adjusted principal. During times of inflation, the interest payments increase, while during times of deflation, the interest payments fall.
- These notes are sold at lower interest rates than conventional fixed-rate Treasury notes because of their adjustable nature.
- In any year when the principal is adjusted for inflation, that increase is considered reportable income for that year even though the increase will not be received until the note matures.
EXAMPLE
If you have a TIPS bond with a 3% coupon and the annual inflation rate is 4% for the next two years, here is what happens:
Each six months, you will receive 1.5% (half of the annual 3% coupon) of the principal value as adjusted for the inflation rate. If the inflation rate is 4% per year, that is 2% each six months. So, after the first semiannual period, the principal value of the bond is now $1,020 (102% x $1,000). Therefore, the first interest check will be 1.5% x $1,020, or $15.30. Six months later, the adjusted principal value is $1,040.40 (102% x $1,020), so that interest check will be for $15.61 ($1,040.40 x 1.5%). As we continue into the next year, the principal will increase to $1,061.21 ($1,040.40 x 102%) and the interest check will be for $15.92. Because we’re only looking at two years, the ending principal value will be $1,082.43 with the final interest check of $16.24. As you can see, both the income from the TIPS and its principal value are increasing at a compounded rate based upon inflation.
Name these investments
- dollar-denominated bonds issued in the U.S. by foreign banks and corporations. The bonds are issued in the U.S. when market conditions are more favorable than on the Eurobond market or in domestic markets overseas.
- deposit/debt in any foreign bank that is denominated in dollars.
- This instrument is used to finance imports and export transactions. Before a foreign exporter will ship goods to the U.S., the exporter wants assurance of payment when the goods arrive.
- short-term, unsecured promissory note issued by large, well- known, and financially strong companies, normally sold at a discount .
- Sovereign debt securities, denominated in U.S. dollars (USD), issued by developing countries and backed by U.S. Treasury bonds, but does not carry US government guarantee. Partners were US, IMF, and World Bank.
- Yankee Bonds
- Eurodollars/Eurobond
- Banker’s acceptance
- Commercial paper
- Brady Bonds
Types of corporate bonds
- Secured
- Unsecured, e.g., debentures
- a. _ debt
3. High-yield bonds
4. Zero-coupon bonds - a. Issued at a _
- b. Appropriate for target investments
- c. No _ risk
- d. High _
- e. Generates _ income - should be held in _ accounts
- f. investors may still have to pay _ on the _ interest that accrues each year.
Types of corporate bonds
- Secured
- Unsecured, e.g., debentures
- a. Subordinated debt
3. High-yield bonds
4. Zero-coupon bonds - a. Issued at a deep discount
- b. Appropriate for target investments
- c. No reinvestment risk
- d. High volatility
- e. Generates phantom income - should be held in nontaxable accounts
- f. investors may still have to pay taxes on the imputed or phantom interest that accrues each year.
Corporate Debt
Benefits
1. A predictable stream of income (interest payments made _)
2. Repayment of principal at specified maturity date (bonds held to maturity have no _ risk as to principal)
3. Prior claim on issuer’s assets
- a. _ bonds have pledged assets
- b. Debentures have _ over any equity
Risks - DRIP
Default risk
- a. Creditworthiness of issuer
- 1) High-quality versus low-quality debt
Reinvestment risk
- a. Interest payments and return of principal
Interest rate risk
- a. Common to all fixed-income investments
Purchasing power risk
- a. Fixed payments lose buying power
Call risk
- a. Call protection
Prepayment risk is only found with _ securities
Corporate Debt
Benefits
1. A predictable stream of income (interest payments made semiannually)
2. Repayment of principal at specified maturity date (bonds held to maturity have no interest rate risk as to principal)
3. Prior claim on issuer’s assets
- a. Secured bonds have pledged assets
- b. Debentures have priority over any equity
Risks - DRIP
Default risk
- a. Creditworthiness of issuer
- 1) High-quality versus low-quality debt
Reinvestment risk
- a. Interest payments and return of principal
Interest rate risk
- a. Common to all fixed-income investments
Purchasing power risk
- a. Fixed payments lose buying power
Call risk
- a. Call protection
Prepayment risk is only found with mortgage-backed securities
Municipal bonds
1. Issued by a form of government other than the federal government or agency of the federal government
- a. Interest exempt from federal taxes
- b. Exemption may also apply at state and local level
- c. _ subject to taxation
Types of municipal issues
1. General _ (GO) bonds
- a. _ by full faith and credit (taxes)
- 1) Issuer’s authority to _
- _ bonds
* a. Backed by specific revenue source, tolls, or user fees - Benefits of municipal bonds
- a. Low default risk
- b. Tax-free income
- 1) Attractive to those in high federal tax brackets
- Risks of municipal bonds
- RIP
- Reinvestment
- Interest rate risk
- Purchasing power risk
Possible exposure to the alternative minimum tax (AMT)- _ activity municipal bonds
Municipal bonds
1. Issued by a form of government other than the federal government or agency of the federal government
- a. Interest exempt from federal taxes
- b. Exemption may also apply at state and local level
- c. Capital gains subject to taxation
Types of municipal issues
1. General obligation (GO) bonds
- a. Backed by full faith and credit (taxes)
- 1) Issuer’s authority to tax
- Revenue bonds
* a. Backed by specific revenue source, tolls, or user fees - Benefits of municipal bonds
- a. Low default risk
- b. Tax-free income
- 1) Attractive to those in high federal tax brackets
- Risks of municipal bonds
- RIP
- Reinvestment
- Interest rate risk
- Purchasing power risk
Possible exposure to the alternative minimum tax (AMT)- Private activity municipal bonds
Taxable Equivalent Yield (TEY)
Muni paying 5% and marginal tax rate of 20%, what’s the TEY?
What tax does out of state Munis have to pay?
To make the returns on municipal bonds comparable to those of taxable bonds, the TEY can be calculated.
TEY = Tax Exempt Yield / (1-Marginal Tax Rate): 0.05/(1-.02) = 0.0625
OR
TEY x (1-Marginal Tax Rate) = Tax Exempt Yield
*Interest on the out‐of‐state municipals are subject to state income tax.