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gavmur [86]
3 years ago
15

A U.S. treasury bond (selling at a par value of $1,000) that matures at the end of five years is said to have a coupon rate of 6

% if, after paying $1,000, the purchaser receives $30 at the end of each of the following nine six-month periods and then receives $1,030 at the end of the the tenth period. That is, the bond pays a simple interest rate of 3% per six-month period, with the principal repaid at the end of five years. Assuming a continuously compounded interest rate of 5%, find the present value of such a stream of cash payments.
Business
1 answer:
pav-90 [236]3 years ago
7 0

Answer:

$1,042.04

Explanation:

to calculate the present value using a continuously compounded interest rate, we can use the following 2 formulas:

1) present value = cash flow / eⁿˣ

  • e = 2.71828
  • x = 5% / 2 = 2.5%
  • n = 10
  • cash flow = $1,030

present value = $1,030 / 2.71828¹⁰ˣ⁰°⁰²⁵ = $1,030 / 1.284 = $802.16

2) present value of an annuity = payment [(1 - e⁻ⁿˣ) / (eˣ - 1)]

  • payment = $30
  • x = 2.5%
  • n = 9
  • e = 2.71828

present value = $30 [(1 - 2.71828⁻⁹ˣ⁰°⁰²⁵) / (2.71828⁰°⁰²⁵ - 1)] = $30 [(1 - 2.71828⁻⁹ˣ⁰°⁰²⁵) / (2.71828⁰°⁰²⁵ - 1)] = $30(0.2015 / 0.0252) = $239.88

present value of the stream of cash flows = $802.16 + $239.88 = $1,042.04

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The ______ is a government-sponsored enterprise that works through a cooperative system to provide agricultural and rural loans.
makvit [3.9K]

The "Farm Credit System" is a government-sponsored enterprise that works through a cooperative system to provide agricultural and rural loans.

<h3>What is Farm Credit System?</h3>

A nationwide financing network with a focus on helping the agriculture sector is called as Farm Credit System (FCS). It is composed of banking industry and organisations that extend loans to people and companies around the country.

Some key features of farm credit system are-

  • From small farming families to multinational corporations, the FCS supports the rural community including organizations of all shapes and sizes.
  • The FCS is composed up several cooperative banks and organisations that lend money to Americans both personally and commercially.
  • There are 72 independent, customer-owned financial institutions that make up the FCS.
  • A vital source of financing for the agricultural sector, which is viewed as high-risk most traditional lenders, is the Farm Credit System.

To know more about the Farm Credit System, here

brainly.com/question/28097911

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5 0
2 years ago
Stein corporation had the following data for last year: Net income = $800; Net operating profit after taxes (NOPAT) = $700; Tota
Mazyrski [523]

Answer:

$425 is the free cash flow which the firm generate during the just-completed year

Explanation:

The formula to compute free cash flow is shown below:

EBIT ( 1-tax rate) + Depreciation & Amortization - Change in Net working Capital - Capital Expenditure

where,

EBIT (1 - tax) = NOPAT

Change in Net working capital = Current year Total operating capital - Last year Total operating capital

= $2,500 - $2,000

= $500

And, the Capital Expenditure is not given

So, the free cash flow is

= $925 - $500

= $425

6 0
3 years ago
An individual taxpayer reports the following items for the current year: Ordinary income from Partnership A, operating a movie t
wel

Answer:

$74,000

Explanation:

Calculation to determine the taxpayer’s adjusted gross income for the year

Taxpayer’s adjusted gross income=Net loss from Partnership B+Capital gain from sale of stock

Let plug in the formula

Taxpayer’s adjusted gross income=$70,000+ $4,000

Taxpayer’s adjusted gross income=$74,000

Therefore the taxpayer’s adjusted gross income for the year is $74,000

5 0
3 years ago
Beverly decides to go on a great trip to Hawaii. She needs someone, however, to take care of her two dogs, Creaky and Toady, whi
Gnesinka [82]

Answer:

d. She is discharged from performance because of impossibility of performance.

Explanation:

Alice's refusal to keep Creaky and Toady can be based on fact that She is discharged from performance because of impossibility of performance. Discharge of contract by impossibility of performance usually occurs when the contractual duty cannot be performed due to unforeseen and uncontrollable circumstances, such as death, illness etc, which can lead to the party been released from a contract on the ground that such uncontrollable circumstances have rendered performance impossible.

3 0
4 years ago
In preparation for developing its statement of cash flows for the year just ended, D-Rose Distributors collected the following i
inysia [295]

Answer:

D-Rose Distributors

1. Investing Activities Section of D-Rose's Statement of Cash Flows:

                                                                                     $ in millions)

Purchase of treasury bills (considered a cash equivalent) -7.1

Proceeds from sale of land                                                 26.1

Purchase of equipment for cash                                        -31.1

Purchase of GE stock                                                         -36.1

Net cash flows from investing activities                         -$48.2

2. Financing Activities Section of D-Rose's Statement of Cash Flows:

                                                                                     $ in millions)

Sale of preferred stock                                                        151.1

Issuance of bonds payable for cash                                   141.1  

Payment of cash dividends declared in previous year     -131.1

Purchase of treasury stock                                                -121.1  

Payment for the early extinguishment of long-term

notes (carrying (book) value: $100 million)                       -111.1

Net cash flows from financing activities                          -$71.1

Explanation:

a) Data and Calculations:

($ in millions)

Purchase of treasury bills (considered a cash equivalent) 7.1

Sale of preferred stock 151.1

Gain on sale of land 5.1

Proceeds from sale of land 26.1

Issuance of bonds payable for cash 141.1

Purchase of equipment for cash 31.1

Purchase of GE stock 36.1

Declaration of cash dividends 135.1

Payment of cash dividends declared in previous year 131.1

Purchase of treasury stock 121.1

Payment for the early extinguishment of long-term notes (carrying (book) value: $100 million) 111.1

b) In preparing D-Rose's Statement of Cash Flows, the following two items are non-cash items:  

i) The gain on sale of land, which will be deducted from the Net Income when the indirect method is used for preparing the operating activities section.

ii) The declaration of cash dividends does not involve any cash flow. It is the payment of dividends that involves a financing activity.

4 0
3 years ago
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