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Soru 1Soru →

An institutional investor holds 55 corporate bonds with a par value of $1,000\$1,000 each. The bonds carry a stated annual coupon rate of 6.8%6.8\% and pay interest semi-annually. What is the total dollar amount of interest the investor will receive in a single semi-annual payment?

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Cevap: 170

Cevap

The total dollar amount of interest received in a single semi-annual payment is $170.
A bond's coupon rate is expressed as an annual percentage of its $1,000\$1,000 par value. A 6.8%6.8\% annual coupon yields $68\$68 in total annual interest per bond. Because corporate bonds make semi-annual interest payments, each payment per bond is $34\$34 ($68/2\$68 / 2). For an investor holding 55 bonds, the total interest received per payment period is $34×5=$170\$34 \times 5 = \$170.

Adım Adım Çözüm

1
Determine the annual dollar interest per bond.
1,000×0.068=1,000 \times 0.068 = 68 per bond per year.
The annual coupon rate determines the annual interest paid based on par value.
2
Determine the semi-annual dollar interest per bond.
68/2=68 / 2 = 34 per bond per payment period.
Standard corporate bonds pay interest twice a year (semi-annually).
3
Calculate the total semi-annual interest for the portfolio.
5 \times 34=34 = 170 total semi-annual interest.
Multiply the semi-annual interest per bond by the total number of bonds held.

Anahtar Kavram

Calculation of semi-annual coupon payments for debt securities
Soru 2Soru →

An investor purchases Class A shares of an open-end mutual fund when the fund's Net Asset Value (NAV) is $19.00\$19.00 per share. If the mutual fund carries a front-end sales charge of 5%5\%, what is the Public Offering Price (POP) per share, in dollars, that the investor will pay?

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Cevap: 20

Cevap

The Public Offering Price (POP) per share is $20.00.
To determine the Public Offering Price (POP) for mutual fund shares with a front-end sales load, divide the Net Asset Value (NAV) by (100% minus the Sales Charge %). Dividing 19.00by0.95yields19.00 by 0.95 yields 20.00. This ensures that the 5% sales load (1.00)isevaluatedagainstthetotalpurchaseprice(1.00) is evaluated against the total purchase price ( 20.00), leaving the remaining $19.00 credited to the fund's NAV.

Adım Adım Çözüm

1
Identify the standard POP formula for mutual fund Class A shares.
The formula is POP = NAV / (1 - Sales Charge %).
Front-end sales loads on open-end funds are expressed as a percentage of the Public Offering Price, not as a percentage of the Net Asset Value.
2
Substitute the NAV of $19.00 and sales load of 5% (0.05) into the formula.
POP = 19.00/(1−0.05)=19.00 / (1 - 0.05) = 19.00 / 0.95.
The complement of the sales load percentage (95%) represents the fraction of the POP that goes into net assets.
3
Perform the division to find the total POP per share.
POP = $20.00.
A POP of 20.00witha520.00 with a 5% front-end load results in a 1.00 sales charge (20.00∗0.05)andleavesexactly20.00 * 0.05) and leaves exactly 19.00 invested in NAV.

Anahtar Kavram

Public Offering Price (POP) calculation with front-end sales charge
Soru 3Soru →

An open-end growth fund reports total portfolio assets of $510,000,000\$510,000,000 and total liabilities of $35,000,000\$35,000,000. The fund has 20,000,00020,000,000 shares outstanding. If Class A shares of the fund carry a front-end sales charge of 5%5\%, what is the Public Offering Price (POP) per share in dollars?

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Cevap: 25

Cevap

The Public Offering Price (POP) per share is $25.00.
To find the Public Offering Price (POP), first calculate the fund's Net Asset Value (NAV) per share: NAV=Total Assets−Total LiabilitiesShares Outstanding=$510,000,000−$35,000,00020,000,000=$475,000,00020,000,000=$23.75\text{NAV} = \frac{\text{Total Assets} - \text{Total Liabilities}}{\text{Shares Outstanding}} = \frac{\$510,000,000 - \$35,000,000}{20,000,000} = \frac{\$475,000,000}{20,000,000} = \$23.75. Next, divide the NAV by (1−Sales Load %)(1 - \text{Sales Load \%}) to determine the POP: POP=$23.751−0.05=$23.750.95=$25.00\text{POP} = \frac{\$23.75}{1 - 0.05} = \frac{\$23.75}{0.95} = \$25.00.

Adım Adım Çözüm

1
Calculate the Net Asset Value (NAV) per share.
$23.75
NAV is determined by subtracting total liabilities from total assets and dividing by the number of outstanding shares: (510,000,000−510,000,000 - 35,000,000) / 20,000,000 = $23.75.
2
Calculate the Public Offering Price (POP) using the sales load formula.
$25.00
POP is calculated by dividing NAV by (1 - Sales Load %): 23.75/(1−0.05)=23.75 / (1 - 0.05) = 23.75 / 0.95 = $25.00.

Anahtar Kavram

Net Asset Value (NAV) and Public Offering Price (POP) Calculation

Alternatif Yöntem

You can verify the answer by subtracting the 5% sales charge (25.00∗0.05=25.00 * 0.05 = 1.25) from the POP of 25.00,whichyieldstheNAVof25.00, which yields the NAV of 23.75.
Tahmini Süre:1m 30s
Soru 4Soru →

An investor holds 400400 shares of Meridian Health Inc. common stock with an initial cost basis of $45.00\$45.00 per share. The company's board of directors declares a 55-for-44 forward stock split. What is the investor's adjusted cost basis per share immediately following the stock split?

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Cevap: 36

Cevap

The investor's adjusted cost basis per share following the 5-for-4 forward stock split is $36.00.
In a forward stock split, the investor receives additional shares while their total cost basis in the position remains unchanged (18,000).Fora5−for−4split,theinvestorreceives5sharesforevery4previouslyowned,resultingin500shares(18,000). For a 5-for-4 split, the investor receives 5 shares for every 4 previously owned, resulting in 500 shares ( 400 \times 5/4 ).Dividingthetotalcostbasisof). Dividing the total cost basis of 18,000 by 500 shares yields an adjusted cost basis of $36.00 per share.

Adım Adım Çözüm

1
Calculate the total initial investment (total cost basis).
400 shares × 45.00=45.00 = 18,000.
A stock split changes the number of shares held and the per-share value/basis, but the total position value remains constant.
2
Calculate the total number of shares held after the forward split.
400 shares × (5 / 4) = 500 shares.
A 5-for-4 forward stock split increases the share count by 25% (or a ratio of 5 to 4).
3
Determine the adjusted cost basis per share.
18,000totalbasis/500shares=18,000 total basis / 500 shares = 36.00 per share.
Dividing the unchanged overall dollar investment by the increased quantity of shares provides the lower cost basis per share.

Anahtar Kavram

Calculating adjusted position share count and per-share cost basis after a forward stock split
Tahmini Süre:1m 30s
Soru 5Soru →

An investor maintains an individual account at a SIPC-member broker-dealer that enters financial liquidation. At the time of the firm's failure, the account contains 150,000incommonstocks,150,000 in common stocks, 50,000 in corporate bonds, 310,000inuninvestedcash,and310,000 in uninvested cash, and 60,000 in commodity futures contracts. What is the maximum total dollar amount of SIPC coverage the investor will receive for this account?

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Cevap: 450000

Cevap

$450,000
SIPC protects customer accounts against broker-dealer failure up to 500,000perseparatecustomer,whichincludesamaximumsub−limitof500,000 per separate customer, which includes a maximum sub-limit of 250,000 for cash claims. Securities (stocks and corporate bonds) total 200,000andarefullycovered.Althoughtheinvestorholds200,000 and are fully covered. Although the investor holds 310,000 in cash, SIPC cash coverage is capped at 250,000.CommodityfuturescontractsarenotcoveredbySIPC.Combiningthe250,000. Commodity futures contracts are not covered by SIPC. Combining the 200,000 in securities with 250,000incoveredcashyieldsatotalprotectionamountof250,000 in covered cash yields a total protection amount of 450,000.

Adım Adım Çözüm

1
Calculate total eligible securities balance
150,000(stocks)+150,000 (stocks) + 50,000 (bonds) = $200,000
SIPC covers equity securities and debt instruments against broker-dealer insolvency.
2
Determine eligible cash coverage
Min(310,000actualcash,310,000 actual cash, 250,000 cash limit) = $250,000
SIPC limits cash coverage to $250,000 per separate customer.
3
Identify non-covered assets
60,000commodityfutures=60,000 commodity futures = 0 covered
Commodities, futures contracts, and fixed annuities are specifically excluded from SIPC protection.
4
Calculate total protected claim and apply overall cap
200,000(securities)+200,000 (securities) + 250,000 (cash) = $450,000
The total claim of 450,000isfullycoveredbecauseitdoesnotexceedthetotalSIPCcapof450,000 is fully covered because it does not exceed the total SIPC cap of 500,000 per separate customer.

Anahtar Kavram

SIPC Cash Coverage Limit and Excluded Assets
Soru 6Soru →

An investor holds 400400 shares of XYZ Corporation common stock purchased at an average price of $60.00\$60.00 per share in a retail cash account. The corporation declares and executes a 55-for-44 forward stock split. What is the investor's adjusted cost basis per share (in dollars) following the completion of the corporate action?

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Cevap: 48

Cevap

The investor's adjusted cost basis per share following the 5-for-4 stock split is $48.00.
When a corporation executes a 5-for-4 forward stock split, shareholders receive 5 shares for every 4 shares held. The total dollar value of the position and overall cost basis remain unchanged at 24,000(24,000 ( 400 shares × 60.00).Thenewsharecountbecomes500shares(60.00). The new share count becomes 500 shares ( 400 × 5/4 ).Dividingthe). Dividing the 24,000 total cost basis by 500 shares yields an adjusted per-share cost basis of $48.00.

Adım Adım Çözüm

1
Calculate pre-split total cost basis
$24,000 total cost basis
The total cost basis of the position is calculated by multiplying the initial number of shares by the initial price per share (400×$60.00=$24,000400 \times \$60.00 = \$24,000).
2
Calculate new share count after the split
500 shares
A 5-for-4 forward stock split increases total shares by a factor of 5/4 (400×1.25=500400 \times 1.25 = 500).
3
Calculate post-split per-share cost basis
$48.00 per share
Because stock splits do not alter the overall economic value or total cost basis of the investment, the per-share cost basis must be adjusted downward by dividing total cost basis by the new total shares ($24,000/500=$48.00\$24,000 / 500 = \$48.00).

Anahtar Kavram

Stock Split Cost Basis Adjustment
Soru 7Soru →

An investor purchases a corporate bond with a par value of 1,0001,000 dollars and a stated annual coupon rate of 8%8\%. If the bond is currently trading in the secondary market at a price of 800800 dollars, what is the current yield of the bond expressed as a percentage?

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Cevap: 10

Cevap

The current yield of the bond is 10%.
Current yield reflects the return an investor receives relative to the bond's current market price. The formula is Current Yield=Annual Interest PaymentCurrent Market Price\text{Current Yield} = \frac{\text{Annual Interest Payment}}{\text{Current Market Price}}. Given an 8%8\% coupon rate on a 1,0001,000 dollar par value bond, annual interest is 8080 dollars. Dividing 8080 dollars by the market price of 800800 dollars yields 0.100.10, or 10%10\%.

Adım Adım Çözüm

1
Calculate annual interest payment in dollars
80 dollars
The annual interest is based on the stated coupon rate applied to the par value (1,000×8%=801,000 \times 8\% = 80).
2
Calculate the current yield
10%
Current yield is calculated by dividing annual interest income by the current market price (80800=0.10\frac{80}{800} = 0.10 or 10%10\%).

Anahtar Kavram

Current yield formula and calculation
Soru 8Soru →

An investor purchases a corporate bond with a par value of $1,000\$1,000 and a stated annual coupon rate of 6%6\%. If the bond is currently trading in the secondary market at a price of $800\$800, what is the bond's current yield (expressed as a percentage)?

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Cevap: 7.5

Cevap

The bond's current yield is 7.5%7.5\%.
The current yield of a bond measures the annual income return on the bond relative to its current market price. To calculate it, divide the annual coupon payment ($60\$60) by the market price ($800\$800), yielding 7.5%7.5\%.

Adım Adım Çözüm

1
Determine the annual dollar coupon interest paid by the bond.
Annual Interest=$1,000×0.06=$60\text{Annual Interest} = \$1,000 \times 0.06 = \$60
The stated coupon rate is calculated as a percentage of the bond's par value ($1,000).
2
Divide annual interest by the current market price to find current yield.
Current Yield=$60$800=0.075=7.5%\text{Current Yield} = \frac{\$60}{\$800} = 0.075 = 7.5\%
Current yield measures the annual income yield generated relative to the market price paid for the bond.

Anahtar Kavram

Current Yield Calculation for Debt Securities
Tahmini Süre:45s
Soru 9Soru →

A corporate bond with a par value of 1,0001,000 is quoted at 9696 and has a published current yield of 6.25%6.25\%. If the bond pays interest on a semi-annual basis, what is the dollar amount of each individual semi-annual coupon payment?

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Cevap: 30

Cevap

The dollar amount of each individual semi-annual coupon payment is $30.
To calculate the semi-annual interest payment, first determine the market price by taking 96% of the 1,000parvalue,whichequals1,000 par value, which equals 960. Using the current yield relationship (Current Yield=Annual CouponMarket Price\text{Current Yield} = \frac{\text{Annual Coupon}}{\text{Market Price}}), find the annual coupon by multiplying 960by6.25960 by 6.25%, yielding 60. Finally, divide the 60annualcouponby2toaccountforsemi−annualpayments,resultingin60 annual coupon by 2 to account for semi-annual payments, resulting in 30 per payment.

Adım Adım Çözüm

1
Calculate the market price of the bond
Market Price = $960.00
A bond quoted at 96 trades at 96% of its 1,000parvalue(1,000 par value ( 1,000 * 0.96).
2
Calculate total annual interest paid by the bond
Annual Interest = $60.00
Current Yield equals Annual Interest divided by Market Price. Therefore, Annual Interest = Market Price * Current Yield ($960 * 0.0625).
3
Calculate the semi-annual coupon payment amount
Semi-Annual Payment = $30.00
Because bond interest is paid semi-annually (twice per year), the total annual interest is divided by 2 ($60 / 2).

Anahtar Kavram

Debt Securities and Bond Structure - Current Yield and Semi-Annual Coupon Calculation
Tahmini Süre:2m 0s
Soru 10Soru →

An institutional investor purchases 1010 corporate bonds in the secondary market, each with a par value of $1,000\$1,000 and a stated annual coupon rate of 5.40%5.40\%. Interest is paid semi-annually on March 1 and September 1. The trade is executed at a quoted market price of 97.5097.50 (97.50%97.50\% of par value) and settles on June 1 using the standard 30/36030/360 day-count convention. What is the total dollar amount, including accrued interest, that the investor must pay to settle the purchase of all 1010 bonds?

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Cevap: 9885

Cevap

The total dollar amount required to settle the purchase of all 1010 bonds, including accrued interest, is $9,885.00\$9,885.00.
To find the total settlement cost for corporate bonds, two components must be computed: the total principal purchase price and the total accrued interest. The principal price per bond is 97.50%97.50\% of $1,000=$975.00\$1,000 = \$975.00, which equals $9,750.00\$9,750.00 for 1010 bonds. Under corporate bond rules (30/36030/360 day-count convention), interest accrues from the most recent coupon date (March 1) through the day before settlement (May 31). That comprises 33 full months of 3030 days each, totaling 9090 days. The annual interest per bond is 5.40%×$1,000=$54.005.40\% \times \$1,000 = \$54.00. Accrued interest per bond is $54.00×(90/360)=$13.50\$54.00 \times (90 / 360) = \$13.50, giving a total accrued interest of $135.00\$135.00 for 1010 bonds. Summing the principal cost ($9,750.00\$9,750.00) and accrued interest ($135.00\$135.00) yields the final settlement amount of $9,885.00\$9,885.00.

Adım Adım Çözüm

1
Calculate the principal purchase price per bond and total principal for the position.
Principal price per bond = $975.00\$975.00; Total principal for 1010 bonds = $9,750.00\$9,750.00.
A bond quoted at 97.5097.50 trades at 97.50%97.50\% of its $1,000\$1,000 par value.
2
Calculate annual interest per bond.
Annual coupon interest = $54.00\$54.00 per bond.
Annual interest is calculated as stated coupon rate times par value (5.40%×$1,0005.40\% \times \$1,000).
3
Determine the number of accrued days using corporate bond 30/36030/360 convention.
Accrued days = 9090 days.
Interest accrues from the last coupon payment date (March 1) up to, but not including, the settlement date (June 1). Under 30/36030/360, March has 3030 days, April has 3030 days, and May has 3030 days (30+30+30=9030 + 30 + 30 = 90 days).
4
Calculate the accrued interest per bond and total position accrued interest.
Accrued interest per bond = $13.50\$13.50; Total accrued interest for 1010 bonds = $135.00\$135.00.
Accrued interest per bond = $54.00×(90/360)=$13.50\$54.00 \times (90 / 360) = \$13.50.
5
Add total principal cost and total accrued interest to find total settlement cost.
Total settlement amount = $9,885.00\$9,885.00.
The buyer must pay the agreed principal price plus the interest earned by the seller up to settlement date.

Anahtar Kavram

Corporate Bond Settlement Price and Accrued Interest Calculation (30/360 Day-Count Convention)
Tahmini Süre:2m 30s
Soru 11Soru →

An investor purchases a corporate bond with a par value of 1,000tradinginthesecondarymarketataquotedpriceof92(1,000 trading in the secondary market at a quoted price of 92 ( 920). The bond pays a stated annual coupon rate of 7.5%, with interest payable semi-annually. What is the dollar amount of each semi-annual interest payment received by the bondholder?

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Cevap: 37.5

Cevap

Each semi-annual coupon payment is $37.50.
The dollar amount of a bond's coupon payment is determined by multiplying its par value (1,000)bytheannualcouponrate(7.51,000) by the annual coupon rate (7.5%), giving an annual payment of 75.00. Because interest is paid semi-annually (twice per year), each individual payment is half of the annual amount, resulting in 37.50.Thecurrentmarketprice(37.50. The current market price ( 920) affects yield calculations such as current yield or yield to maturity, but it does not change the fixed dollar interest paid by the issuer.

Adım Adım Çözüm

1
Calculate annual coupon payment
1,000parvalue×7.51,000 par value × 7.5% coupon rate = 75.00 per year
Bond coupon payments are always calculated based on the bond's par value ($1,000), regardless of current market trading price.
2
Calculate semi-annual coupon payment
75.00/2=75.00 / 2 = 37.50 per payment period
Bonds typically pay interest semi-annually, requiring the annual payment to be divided equally into two payments.

Anahtar Kavram

Bond Coupon Payment Calculation
Soru 12Soru →

An investor purchases a corporate bond with a par value of 1,000atamarketpriceof1,000 at a market price of 900. The bond carries a stated annual coupon rate of 5.4%5.4\%. What is the current yield of this bond expressed as a percentage?

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Cevap: 6

Cevap

The current yield of the bond is 6.0%.
Current yield reflects the return based on the market price paid rather than par value. Calculating $54$900\frac{\$54}{\$900} gives 0.060.06, or 6.0%.

Adım Adım Çözüm

1
Calculate the annual coupon interest payment
$54
Annual coupon interest equals coupon rate (5.4%) multiplied by par value ($1,000).
2
Divide annual interest payment by the current market price
0.06
Current yield measures annual income relative to purchase price (54/54 / 900).
3
Convert decimal to percentage
6.0%
Multiplying 0.06 by 100 converts the decimal yield to a percentage format.

Anahtar Kavram

Current Yield Calculation
Soru 13Soru →

An institutional investor purchases 1515 corporate bonds at a secondary market quote of 94.2594.25. Each bond has a par value of $1,000\$1,000 and pays a fixed nominal coupon rate of 5.40%5.40\% semi-annually. What is the total annual coupon interest income, in dollars, that the investor will collect from this position?

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Cevap: 810

Cevap

The investor will receive a total annual coupon interest income of 810810 dollars.
The correct calculation applies the nominal coupon rate (5.40%5.40\%) to the bond's par value ($1,000\$1,000) to determine that each bond pays $54.00\$54.00 per year. Multiplying $54.00\$54.00 by the 1515 bonds held yields total annual coupon income of $810.00\$810.00. Secondary market quotes (such as 94.2594.25) affect current yield and purchase price, but do not change the dollar coupon payment paid by the issuer.

Adım Adım Çözüm

1
Calculate the annual interest paid per bond using the par value.
Annual Interest Per Bond=5.40%×$1,000=$54.00\text{Annual Interest Per Bond} = 5.40\% \times \$1,000 = \$54.00
Coupon rates are fixed percentages applied exclusively to the face (par) value of the bond, regardless of its prevailing secondary market trading price.
2
Calculate total annual interest for the full portfolio of 15 bonds.
Total Annual Interest=15×$54.00=$810.00\text{Total Annual Interest} = 15 \times \$54.00 = \$810.00
Multiplying the individual bond annual cash flow by the position size yields the total annual income collected.

Anahtar Kavram

Bond Coupon Payment Base and Income Calculation
Soru 14Soru →

A corporate bond with a par value of $1,000\$1,000 pays an annual coupon rate of 6%6\%. If the bond is currently trading in the secondary market at $800\$800, what is its current yield expressed as a percentage?

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Cevap: 7.5

Cevap

The current yield of the bond is 7.5%7.5\%.
Current yield is calculated by taking the bond's annual dollar interest payment and dividing it by its current market price. For this bond, the annual interest is $60\$60 (6%6\% of $1,000\$1,000 par value). Dividing $60\$60 by the current market price of $800\$800 results in 0.0750.075, or 7.5%7.5\%.

Adım Adım Çözüm

1
Calculate the annual coupon payment in dollars
$1,000×0.06=$60\$1,000 \times 0.06 = \$60
The coupon rate is always applied to the par value of $1,000\$1,000 to determine the annual interest payment.
2
Divide the annual coupon payment by the current market price
$60$800=0.075\frac{\$60}{\$800} = 0.075
Current yield measures the annual income generated relative to the current purchasing price of the bond.
3
Convert the resulting decimal value into a percentage
0.075×100=7.5%0.075 \times 100 = 7.5\%
Yield figures are expressed as annual percentages.

Anahtar Kavram

Current Yield of a Bond
Soru 15Soru →

An investor holds a portfolio of 25 corporate bonds, each having a par value of $1,000. The bonds carry a nominal coupon rate of 6.4% per annum with semi-annual coupon payments. If the investor purchased all 25 bonds at a market price quote of 98.50, what is the total dollar amount of semi-annual coupon interest the investor will receive in a single semi-annual payment across the entire portfolio?

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Cevap: 800

Cevap

The total semi-annual coupon payment received by the investor across all 25 bonds is $800.
Coupon interest is calculated by multiplying the nominal coupon rate by the par value of the bond (1,000∗6.41,000 * 6.4% = 64 per year). Because bonds pay semi-annually, each bond pays half of its annual coupon every six months (64/2=64 / 2 = 32 per bond). For 25 bonds, the total semi-annual interest received is 25 * 32=32 = 800. The market price (98.50 or $985 per bond) does not impact the dollar amount of coupon interest paid by the issuer.

Adım Adım Çözüm

1
Determine the annual coupon payment per bond using the par value and nominal coupon rate.
Each bond pays 1,000∗0.064=1,000 * 0.064 = 64.00 in coupon interest per year.
The nominal coupon rate is calculated based on the bond's par value ($1,000), regardless of its secondary market purchase price.
2
Divide the annual coupon payment by 2 to determine the semi-annual payment per bond.
Each bond pays 64.00/2=64.00 / 2 = 32.00 every six months.
Bonds typically pay interest semi-annually (twice per year).
3
Multiply the single semi-annual payment amount per bond by the number of bonds in the portfolio.
32.00∗25=32.00 * 25 = 800.00 total semi-annual interest payment.
The total cash flow received every six months is the sum of payments for all 25 bonds.

Anahtar Kavram

Calculation of semi-annual bond interest income based on par value and coupon rate
Soru 16Soru →

An investor holds 15 corporate bonds, each having a par value of $1,000\$1,000 and a stated annual coupon rate of 5.2%5.2\%. The issuer pays interest semi-annually. What total dollar amount of interest will the investor receive from this position in a single 6-month payment period?

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Cevap: 390

Cevap

The investor will receive a total semi-annual interest payment of $390\$390.
The stated coupon rate of 5.2%5.2\% on a $1,000\$1,000 par value bond yields an annual interest payment of $52\$52 per bond ($1,000×0.052\$1,000 \times 0.052). Because bond coupon payments are disbursed semi-annually, each bond pays $26\$26 every 6 months ($52/2\$52 / 2). For a portfolio holding of 15 bonds, the total dollar amount received per payment period is $390\$390 ($26×15\$26 \times 15).

Adım Adım Çözüm

1
Calculate the annual coupon interest per bond.
$1,000×0.052=$52\$1,000 \times 0.052 = \$52 per bond per year.
The stated nominal coupon rate represents the annual interest percentage paid based on par value.
2
Determine the semi-annual coupon payment per bond.
$52/2=$26\$52 / 2 = \$26 per bond every 6 months.
Standard corporate bonds disburse interest payments twice per year (semi-annually).
3
Calculate the total semi-annual interest for the position of 15 bonds.
$26×15=$390\$26 \times 15 = \$390.
Multiplying the single semi-annual payment per bond by the total quantity of bonds held yields the net cash distribution received.

Anahtar Kavram

Calculation of semi-annual bond interest payments based on nominal coupon rate and par value.
Soru 17Soru →

An investor purchases a corporate bond with a par value of 1,0001,000 and a stated annual coupon rate of 6.0%6.0\%. If the bond is currently trading at a secondary market price of 800800, what is the bond's current yield expressed as a percentage?

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Cevap: 7.5

Cevap

The bond's current yield is 7.5%.
Current yield measures the annual return an investor receives based on the bond's current market price. It is calculated as Annual Interest Payment divided by Current Market Price. For a 1,000parbondwitha6.01,000 par bond with a 6.0% coupon, the annual interest is 60 (1,000x0.06).Dividing1,000 x 0.06). Dividing 60 by the market price of $800 yields 0.075, or 7.5%.

Adım Adım Çözüm

1
Calculate the annual interest payment
$60
Annual interest is calculated by multiplying the par value ($1,000) by the nominal coupon rate (6.0%).
2
Calculate current yield
7.5%
Current yield equals annual interest income divided by current market price (60/60 / 800 = 0.075 or 7.5%).

Anahtar Kavram

Current Yield Calculation
Soru 18Soru →

An investor purchases 55 corporate bonds in the secondary market at a price of 9696 (96%96\% of par value). Each bond has a par value of $1,000\$1,000 and carries a stated annual coupon rate of 5.5%5.5\%. What is the total annual dollar amount of coupon interest income the investor will receive from these 55 bonds?

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Cevap: 275

Cevap

The total annual coupon interest income received is $275.
Annual coupon interest is fixed and calculated as a percentage of the bond's par value (1,000),regardlessofwhetherthebondtradesatadiscountorpremiuminthesecondarymarket.Eachbondpays1,000), regardless of whether the bond trades at a discount or premium in the secondary market. Each bond pays 5.5\%of of \1,0001,000, which equals $55\$55 per year. For 55 bonds, total annual coupon interest income is 5×$55=$2755 \times \$55 = \$275.

Adım Adım Çözüm

1
Calculate annual interest per bond using par value ($1,000) and stated coupon rate (5.5%).
Annual interest per bond = $1,000×0.055=$55\$1,000 \times 0.055 = \$55.
Bond coupon rates are always paid as a fixed percentage of the bond's par (face) value, regardless of secondary market price fluctuations.
2
Multiply annual interest per bond by total number of bonds held (5).
Total annual interest = $55×5=$275\$55 \times 5 = \$275.
The investor receives interest payments for all 5 bonds owned.

Anahtar Kavram

Bond Coupon Payment Calculation
Soru 19Soru →

An investor is evaluating a corporate bond with a par value of 1,000thatiscurrentlytradinginthesecondarymarketat1,000 that is currently trading in the secondary market at 925.00. The bond pays a stated annual coupon rate of 5.55%, with interest payments made semi-annually. What is the current yield of this bond?

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Cevap: 6

Cevap

The current yield of the bond is 6.00%.
The current yield measures a bond's annual interest income relative to its current market price. To find the current yield, calculate the annual coupon payment in dollars (1,000par×5.551,000 par × 5.55% = 55.50) and divide by the secondary market price (925.00).925.00). 55.50 divided by $925.00 equals 0.06, or 6.00%.

Adım Adım Çözüm

1
Calculate the annual dollar coupon payment
1,000×0.0555=1,000 \times 0.0555 = 55.50
Current yield requires using the full annual dollar interest income paid by the bond.
2
Divide annual dollar interest by the current market price
\frac{55.50}{ 925.00} = 0.06
Current yield measures the annual income generated relative to the current secondary market price.
3
Convert the decimal yield into a percentage rate
0.06×100=6.00%0.06 \times 100 = 6.00\%
Yield measurements on bond securities are standardly stated in percentage terms.

Anahtar Kavram

Current Yield Calculation for Debt Securities
Tahmini Süre:1m 30s
Soru 20Soru →

An investor in a 25%25\% federal marginal income tax bracket is evaluating a tax-exempt municipal bond offering a yield of 4.20%4.20\%. What taxable corporate bond yield would provide this investor with an equivalent after-tax return?

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Cevap: 5.6

Cevap

The required corporate bond yield to achieve an equivalent after-tax return is 5.6%5.6\%.
To determine the taxable corporate bond yield required to match a tax-exempt municipal yield, divide the municipal yield by (1−marginal tax rate)(1 - \text{marginal tax rate}). Dividing 4.20%4.20\% by (1−0.25)=0.75(1 - 0.25) = 0.75 yields 5.60%5.60\%. An investor in the 25%25\% federal tax bracket earning 5.60%5.60\% on a corporate bond retains 75%75\% of that yield after taxes (5.60%×0.75=4.20%5.60\% \times 0.75 = 4.20\%), which equals the tax-free yield of the municipal bond.

Adım Adım Çözüm

1
State the Tax-Equivalent Yield (TEY) formula
Tax-Equivalent Yield=Tax-Free Yield1−Marginal Tax Rate\text{Tax-Equivalent Yield} = \frac{\text{Tax-Free Yield}}{1 - \text{Marginal Tax Rate}}
Municipal bond interest is exempt from federal income tax. To compare it to taxable corporate debt, the tax-free yield must be adjusted upward to reflect what a taxable bond would need to earn before taxes.
2
Substitute the investor's tax bracket and municipal yield into the equation
TEY=4.20%1−0.25=4.20%0.75\text{TEY} = \frac{4.20\%}{1 - 0.25} = \frac{4.20\%}{0.75}
Subtracting the marginal tax rate from 100%100\% (1.001.00) identifies the proportion of income the investor retains after federal taxes.
3
Perform the division to calculate the equivalent taxable yield
5.60%5.60\%
An investor earning 5.60%5.60\% on a taxable bond would pay 25%25\% in taxes (1.40%1.40\%), resulting in a net after-tax yield of 4.20%4.20\% (5.60%−1.40%=4.20%5.60\% - 1.40\% = 4.20\%).

Anahtar Kavram

Tax-Equivalent Yield (TEY)
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