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viktelen [127]
3 years ago
10

You just purchased a bond that matures in 5 years. The bond has a face value of $1,000 and an 8% annual coupon. The bond has a c

urrent yield of 8.21%. What is the bond's yield to maturity?
Business
1 answer:
Luda [366]3 years ago
8 0

Answer:

Your answer is given below:

Explanation:

Information provided:

Face value= future value= $1,000

Time= 5 years

Coupon rate= 8%

Coupon payment= 0.08*1,000= $80

Current yield= 8.21%

Current yield is calculated using the below formula:

Current Yield= Annual interest/Current price

0.0821= $80/ Current price

Current price= $80/ 0.0821

                        = $974.42

The yield to maturity is calculated by entering the below in a financial calculator:

FV= 1,000

PV= -974.42

N= 5

PMT= 80

Press the CPT key and I/Y to compute the yield to maturity.

The value obtained is 8.6517.

Therefore, the yield to maturity is 8.65%.

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If a borrower can afford to make monthly principal and interest payments of 1000 and the lender will make a 30 year loan at 5 1/
Alexus [3.1K]

Answer:

The the largest loan this buyer can afford is 14,533.75.

Explanation:

This can be determined using the formula for calculating the present value of an ordinary annuity as follows:

Step 1: Calculations of the present value or the loan the buyer can afford for a 30 year loan at 5 1/2%

PV30 = P * ((1 - (1 / (1 + r))^n) / r) …………………………………. (1)

Where;

PV30 = Present value or the loan the buyer can afford for a 30 year loan at 5 1/2% =?

P = monthly payment = 1000

r = interest rate = 5 1/2% = 5.50% = 0.055

n = number of years = 30

Substitute the values into equation (1) to have:

PV30 = 1000 * ((1 - (1 / (1 + 0.055))^30) / 0.055)

PV30 = 1000 * 14.5337451711221

PV30 = 14,533.75

Step 2: Calculation of the present value or the loan the buyer can afford for a 20 year loan at 4 1/2%

PV20 = P * ((1 - (1 / (1 + r))^n) / r) …………………………………. (2)

Where;

PV30 = Present value or the loan the buyer can afford for a 20 year loan at 4 1/2% =?

P = monthly payment = 1000

r = interest rate = 4 1/2% = 4.50% = 0.045

n = number of years = 20

Substitute the values into equation (1) to have:

PV20 = 1000 * ((1 - (1 / (1 + 0.045))^20) / 0.045)

PV20 = 1000 * 13.0079364514537

PV20 = 13,007.94

Conclusion

Since 14,533.75 which is the present value or the loan the buyer can afford for a 30 year loan at 5 1/2% is greater than the 13,007.94 which is the present value or the loan the buyer can afford for a 20 year loan at 4 1/2%, it therefore implies that the the largest loan this buyer can afford is 14,533.75.

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Transaction Processing Systems (TPS) can make decisions using predetermined rules and processes. This is an example of a(n) ____
avanturin [10]

TPS can make decisions based on pre-defined rules and processes. This is an example of an operational control's structured decision.

<h3>What is Transaction Processing Systems?</h3>

Transaction processing system is also denoted as TPS. It is a method of computing that breaks down work into discrete, indivisible activities known as transactions.

A transaction processing system is a software or may be hardware combination that facilitates transaction processing.

Therefore, the TPS is an example of a structured decision of an operational control.

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