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RSB [31]
3 years ago
13

Union Local School District has bonds outstanding with a coupon rate of 4.5 percent paid semiannually and 20 years to maturity.

The yield to maturity on these bonds is 3.8 percent and the bonds have a par value of $10,000. What is the dollar price of the bond? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)
Business
2 answers:
MArishka [77]3 years ago
6 0

Answer:

$10,974.45

Explanation:

coupon rate 4.5%, semiannual = 2.25%

20 years until maturity = 40 periods

market rate 3.8%, semiannual = 1.9%

par value $10,000

market price of the bonds = PV of par value + PV of coupon payments

PV of par value = $10,000 / (1 + 1.9%)⁴⁰ = $4,710.13

PV of coupon payments = $225 x 27.84144 (PV annuity factor, 1.9%, 40 periods) = $6,264.32

market value = $4,710.13 + $6,264.32 = $10,974.45

balandron [24]3 years ago
5 0

Answer:

The dollar price of the bond is $10,974.45.

Explanation:

The dollar price of the bond, PV, can be determined as follows :

N = 20 × 2 = 40

PMT = ($10,000 × 4.5%) ÷ 2 = $225

P/YR = 2

YTM = 3.80 %

FV = $10,000

PV = ?

Using a Financial Calculator, the dollar price of the bond, PV is $10,974.45.

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Your bank account pays an interest rate of 8 percent. You are considering buying a share of stock in XYZ Corporation for $110. A
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Explanation:

Your bank account pays an interest rate of 8 percent. You are considering buying a share of stock in XYZ Corporation for $110. After 1, 2, and 3 years, it will pay a dividend of $5. You expect to sell the stock after 3 years for $120. Is XYZ a good investment

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3 years ago
2. You retire at age 60 and expect to live another 23 years. On the day you retire, you have $568,900 in your retirement savings
hichkok12 [17]

Answer:

The monthly withdrawals are $3,537.85 and will last for 23 years.

Explanation:

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PV \div \frac{1-(1+r)^{-time} }{rate} = C\\

PV 568,900.00

time 276 (23 years x 12 months)

rate 0.004333333 (5.2% = 5.2 / 100 = 0.052 per year we now divide by the 12 months of a year and get the rate for monthly withdrawals.

568900 \div \frac{1-(1+0.00433)^{-276} }{0.00433} = C\\

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Answer:

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Explanation:

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