Answer:
Number of years = 7.54 or 8 years
Explanation:
We know,
YTM =
Here,
I = Coupon payment
M = Par value
V = Market price
Given,
M = Par value = $1,000
V = Market price = $1,119.34
I = Coupon Payment = Par value × Coupon rate = $1,000 × 6.4% = $64
Since, it is a semi-annual payment = $64/2 = $32
YTM = 4.6%
Therefore, putting the value into the above formula, we can get
YTM =
or, 0.046 =
or, 0.046 =
or, 47.82988 = [Multiplying both the sides by 1,039.78]
or, 47.82988n = 32n - 119.34 [Multiplying both the sides by n]
or, 47.82988n - 32n = -119.34
or, -15.82988n = -119.34
or, n = (-119.34) ÷ (-15.82988)
Therefore, n = 7.54 years or almost 8 years.
Answer:
Explanation:
Return on investment (ROI) can be defined as a performance measure used to evaluate the efficiency of an investment or to compare the efficiency of a number of investments.
The ability to calculate return on investment is particularly valuable for any business regardless of its size or industry. by calculating ROI, an individual can understand how well their business is doing and which areas needs improvement.
Every business decision requires knowldge of ROI, so as to optimize profitability. Yes it is acceptable to loose profit of one product for the sale of a profitable product because the gain that would be derived by selling an extremely profitable products is better for the company that the gain one product will derive. Afterall, every company wants to increase profitability.
Answer:
The correct answer is: Commercial banks.
Explanation:
Commercial banks are financial institutions that accept deposits, offer checking account services, make business, personal, and mortgage loans and offer basic financial products such as Certificates of Deposit (CD) or savings accounts to a private individual and small businesses facilitating transactions between them.
Answer:
$9,911 Unfavorable
Explanation:
Calculation for What is the variable overhead rate variance for the month
First step is to calculate the Standard labor hours Using this formula
Standard labor hours = Actual output x Standard hours per unit of output
Let plug in the formula
Standard labor hours= 1500 x 5.30
Standard labor hours= 7,950
Now let calculate the Variable overhead efficiency variance using this formula
Variable overhead efficiency variance = Actual labor hours - Standard labor hours) x hourly rate for standard variable overhead
Let plug in the formula
Variable overhead efficiency variance= ( 8,800-7,950) x 11.66
Variable overhead efficiency variance=850×11.66
Variable overhead efficiency variance= $9,911 Unfavorable
Therefore the variable overhead rate variance for the month is $9,911 Unfavorable
Answer:
The amount that should be in its savings account is $40,554.48.
Explanation:
To calculate this, formula for calculating the present value of an ordinary annuity is employed as follows:
PV = P * [{1 - [1 / (1 + r)]^n} / r] …………………………………. (1)
Where;
PV = Present value of or amount in the saving =?
P = yearly scholarship payment = $5,000
r = interest rate = 4%, 0.04
n = number of years = 10
Substitute the values into equation (1) to have:
PV = $5,000 * [{1 - [1 / (1 + 0.04)]^10} / 0.04]
PV = $5,000 * [{1 - [1 / 1.04]^10} / 0.04]
PV = $5,000 * [{1 - 0.961538461538461^10} / 0.04]
PV = $5,000 * [{1 - 0.675564168825795} / 0.04]
PV = $5,000 * [0.324435831174205 / 0.04]
PV = $5,000 * 8.11089577935512
PV = $40,554.48
Therefore, the amount that should be in its savings account is $40,554.48.
The present value of an annuity formula can be used to determine the amount needed in the savings account.
To determine how much should be in its savings account to fund one $5,000 scholarship each year for the next 10 years, we can use the formula for the present value of an annuity. The formula is:
PV = PMT * ((1 - (1 + r)^(-n)) / r)
Where PV is the present value, PMT is the payment amount, r is the interest rate, and n is the number of periods. In this case, the payment amount is $5,000, the interest rate is 4% (or 0.04), and the number of periods is 10. Plugging these values into the formula, we get:
PV = $5,000 * ((1 - (1 + 0.04)^(-10)) / 0.04) = $42,179.84
Therefore, North Carolina State University's Irwin College of Engineering should have $42,179.84 in its savings account to fund one $5,000 scholarship each year for the next 10 years.
#SPJ11
The current value of Jim's bonds are $8,749.57.
The value of the bond can be determined by calculating the present value of the cash flows of the bonds. The present value is the sum of discounted cash flows.
Value of the bond = present value of coupon payments + present value of the face value of the bond at maturity.
Present value of the face value of the bond at maturity = $10,000 / (1 + 0.0175^120) = $1247.01
Present value of coupon payments = future value / (1 + 0.07^30)
Future value = amount x annuity factor
Annuity factor = {[(1+r)^n] - 1} / r
Where:
n = number of years = 30 x 4 = 120
$150 x [({1.0175^120) - 1} / 0.0175] = $60,164.43
Present value = $60,164.43 / (1.0175^120) = $7,502.56
Value of the bond = $7,502.56 + $1247.01 =$8,749.57
To learn more about present value, please check: brainly.com/question/26537392
Answer:
current value is $8749.57
Explanation:
given data
face value = $10,000
maturity period = 30 = 30 × 4 = 120
interest = 1.5% every 3 month
solution
we will apply here bond price formula that is
bond price = coupon × ............................1
here r is rate and n is no of period and
so rate = = 1.75% = 0.0175
and coupon is $150
put here value
bond price = $150 ×
bond price = 8749.57
so current value is $8749.57