Answer:
The new price of the bond is $928.94
Explanation:
Initially the bond's price is equal to its par value which means the coupon rate on bond and the market interest rates are the same i.e. 6%.
Th bond's price is calculated as the sum of the present value of the annuity of interest payments by the bond and the present value of the face value of the bond that will be received at maturity. The discount rate used to calculate the present values is the market interest rate.
As the bond is a semiannual bond, we will use the semi annual coupon payment, the semi annual percentage of the annual rate of interest on market and the number of semi annual periods outstanding.
Semi annual coupon payment = 1000 * 0.06 * 6/12 = $30
Number of semiannual periods till maturity = 10 * 2 = 20 periods
New market interest rate = 6 + 1 = 7% annual
New semi annual market interest rate = 7% / 2 = 3.5%
Price of bond = 30 * [ (1 - (1+0.035)^-20) / 0.035 ] + 1000 / (1+0.035)^20
Price of bond = $928.938 rounded off to $928.94
We used the present value of annuity ordinary formula for preset value of interest payments and the normal present value of principal formula for the face value.
Answer:
Allocated MOH= $234,000
Explanation:
Giving the following information:
Predetermined overhead rate= $9 per direct labor hour.
Actual direct labor hours= 26,000
<u>To allocate manufacturing overhead, we need to use the following formula:</u>
<u></u>
Allocated MOH= Estimated manufacturing overhead rate* Actual amount of allocation base
Allocated MOH= 9*26,000
Allocated MOH= $234,000
Answer:
Hammer would prevail against Kay based on:_______.
A. Unilateral contract.
Explanation:
A unilateral contract is a contract created by an offer that can only be accepted by performance. To form the contract, the party making the offer (called the “offeror”) makes a promise in exchange for the act of performance by the other party.
in relation to the case in the contract, Hammer had carried out the duties expected of him thus making the contract valid under a unilateral contract.
since in a unilateral contract, the offer can only be accepted when the other party completely performs the requested action.
Hence Hammer would prevail against Kay based on Unilateral contract.
Answer:
Answer is explained in the explanation section below.
Explanation:
Data Given:
LSL = 4.96 cm
USL = 5.04 cm
Mean = 5 cm
SD = 0.01 cm
1. Capability Index:
Cpk = min ( 
, 
)
So, now, we need to find the following:
= 
= 
= 1.33
Similarly,
= 
=
= 1.33
So,
Cpk = min ( , ) = 1.33
2. Maximum Standard deviation allowed.
Let SD be maximum standard deviation allowed.
So,
Mean - 3SD = 4.96 Equation 1
Mean + 3SD = 5.04 Equation 2
Subtracting Equation 2 from 1, we have
6SD = 5.04 - 4.96
6SD = 0.08
SD = 0.0133
Answer and Explanation:
The computation is shown below:
NPW of X is
= -$20,000 - $9,000 × (P/A,12%,5) + $5,000 × (P/F,12%,5)
= -$20,000 - $9,000 × 3.604776 + $5,000 × 0.567427
= -$49,605.85
And,
NPW of Y is
= -$35,000 - $4,000 × (P/A,12%,5) + $7,000 × (P/F,12%,5)
= -$35,000 - $4,000 × 3.604776 + $7,000 × 0.567427
= -$45,447.11
Based on the above calculations as we can see that net present cost of Y is lower than the net present cost of X so Y should be selected
