Answer and Explanation:
The computation of the overhead rate for each type of activity is as follows:
Overhead rate is
= Activity activity ÷ Level of activity driver
For machine setup, the Overhead rate is
= $157,500 ÷ 2,100 setup
= $75 per set-up
For machining, the overhead rate is
= $404,800 ÷ 25,300
= $16 per machine hour
For inspection, the overhead rate is
= $93,600 ÷ 1,800
= $52 per inspection
upstate bank is offering long-term certificates of deposit with a face value of $1000. bank customers can buy thece cds today for $67,000 and will receive the
Answer: 2.70%
Explanation:
Proper question is;
Upstate bank is offering long-term certificates of deposit with a face value of $100,000. Bank customers can buy these CDs today for $67,000 and will receive the $100,000 in 15 years. What interest rate is the bank paying on these CDs.
The formula to calculate rate is;
= (Future Value / Present Value) ^ 1/15 - 1
= (100,000 / 67,000) ^ 1/15 - 1
= 0.0270581026212
= 2.70%
On January 1, 2020, Ivanhoe Company purchased 12% bonds, having a maturity value $325,000 for $349,639.81. The bonds provide the bondholders or premium. The bonds are classified as available-for-sale category. The fair value of the bonds at December 31 of each year-end is as follows. 2020 $347,400 2023 $334,900 2021 $333,800 2024 $325,000 2022 $332,800 (a) Prepare the journal entry at the date of the bond purchase. (b) Prepare the joumal entries to record the interest revenue and recognition of fair value for 2020. (c) Prepare the journal entry to record the recognition of fair value for 2021. (Round answers to 2 decimal places, e.g. 2,525.25.
Answer:
a. Ivanhoe Company
Journal Entries
Date Particulars and Explanation Debit Credit
1-Jan-20 Investment in Bond $325,000
Premium on bond investment $24,639.81
To Cash $349,639.81
(Being investment in bond recorded)
b. Ivanhoe Company
Journal Entries
Date Particulars and Explanation Debit Credit
31-Dec-20 Interest receivables $39,000
To Interest revenue $34,963.98
($349,639.81*10%)
To Premium on bond investment $4,036.02
(Being revenue recognition for bond interest
and premium amortized)
31-Dec-20 Fair value adjustment $1,796.21
To Unrealized holding gain or loss (OCI) $1,796.21
[$347,400 - ($349,639.81 - $4,036.02)]
(To record adjustment fair value)
c. Ivanhoe Company
Journal Entries
Date Particulars and Explanation Debit Credit
31-Dec-21 Unrealized holding gain or loss $9,160.38
To Fair value adjustments $9,160.38
([$349,639.81 - $4,036.02 - $4,439.62
+ $1,796.21) - $333,800]
(To record adjustment fair value)
Pension funds pay lifetime annuities to recipients. If a firm will remain in business indefinitely, the pension obligation will resemble a perpetuity. Suppose, therefore, that you are managing a pension fund with obligations to make perpetual payments of $3.5 million per year to beneficiaries. The yield to maturity on all bonds is 17.5%.
Required:
a. If the duration of 5-year maturity bonds with coupon rates of 16% (paid annually) is 4 years and the duration of 25-year maturity bonds with coupon rates of 9% (paid annually) is 16 years, how much of each of these coupon bonds (in market value) will you want to hold to both fully fund and immunize your obligation?
b. What will be the par value of your holdings in the 25-year coupon bond?
Answer:
Duration of liability (perpetual) = (1 + y) / y
= (1 + 17.5%) / 17.5%
= 6.71
Value of liability = Cash Flow / yield
= $3.5 million / 17.5%
= $20 million
a. Assume you invest w in 5-year bond and 1-w in 25-year bond such that the duration of the portfolio is 6.71
6.71 = w x 4 + (1 - w) x 16
w = (16 - 6.71) / (16 - 4)
w = 77% in 5-year bond
1 - w = 28% in 25 year bond
Market Value of 5 year bond = 77% * $20 million = $15.4 million
Market Value of 20 year bond = 23% * $20 million = $4.6 million
b. Market Price of 20 year bond can be calculated using PV function on a calculator
N = 25, I/Y = 17.5%, PMT = 9, FV = 100
Price = Present Value (25,17.5%, 9 ,100)
Price = 52.29042644
Price = $52.30
Par Value of 25 year bond = Market Value /% Price
Par Value of 25 year bond = $4.6 million / 50.83%
Par Value of 25 year bond = $9,049,774