A laser surgical tool has a cost basis of $100,000 and a five-year depreciable life. The estimated SV of the laser is $20,000 at
1 answer:
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Answer:
(a) 9.9%
(b) 10.09%
The further explanation is given below.
Explanation:
The given values are:
Coupon payment
= $99
Price
= $1,000
(a)
The Yield to maturity (YTM) will be:
=
where,
C = Coupon payment
P = Price
n = years to maturity
F = Face value
On putting the estimated values is the above formula, we get
⇒
⇒
⇒ %
(b)
Although the 1st year coupon was indeed reinvested outside an interest rate of r%, cumulative money raised will indeed be made at the end of 2nd year.
=
Came to the realization compound YTM is therefore a function of r, as is shown throughout the table below:
Rate (r) Total proceeds Realized YTM ()
7.9% 1205.8 9.8%
9.9% 1207.8 9.9%
11.9% 1209.8 9.99%
Now,
Overall proceeds realized YTM:
=
=
=
=
=
=
= %
Answer: Proposal C
Explanation:
The way to solve this is to calculate the Present Values of all these payments. The smallest present value is the best.
Proposal A.
Periodic payment of $2,000 makes this an annuity.
Present value of Annuity = Annuity * ( 1 - ( 1 + r ) ^ -n)/r
= 2,000 * (1 - (1 + 0.5%)⁻⁶⁰) / 0.5%
= $103,451.12
Proposal B
Present value = Down payment + present value of annuity
= 10,000 + [2,200 * ( 1 - ( 1 + 0.5%)⁻⁴⁸) / 0.5%]
= 10,000 + 93,676.70
= $103,676.70
Proposal C
Present value = Present value of annuity + Present value of future payment
= [500 * (1 - (1 + 0.5%)⁻³⁶) / 0.5%] + [116,000 / (1 + 0.5%)⁶⁰]
= 16,435.51 + 85,999.17
= $102,434.68
<em>Proposal C has the lowest present value and so is best. </em>
