Answer:
The present value for each year is calculated at 4% interest. In this question the present value be the sum of the cash deposits plus the interest for each year.
Present Value
= Sum of cash deposits for each year + Interest for each year
= 23100 + 9240
= 32340
Explanation:
To calculate the sum of the cash deposits, add the deposit for each year.
(Year 1 to Year 21 = 23100)
To calculate the interest for each year, take the cash deposit for the year and multiply it by 4%. (Year 1 to Year 21 = 9240)
Refer to the attached spreadsheet to assist with the calculations and the answer given above.
What do you need help on?
Answer:
$12,015 approx.
Explanation:
To calculate present value of a future amount, the future amount is discounted at the rate of interest for the period of investment, which reveals present value as on today. The technique is referred to as discounting technique.
Suppose P denote the amount invested today, which when matured after period of two years yields $13500. Following formula is used for calculating the money invested:
wherein, A = Amount
P = Principal
R = Rate of interest
n = number of years
13,500 = 1.1236 P
⇒ P = 12,015 Approx.
Thus, $12015 is required to be deposited today so as to yield $13,500 after 2 years compounded at 6% per annum rate of interest.
Options:
a. 14.58%
b. 12.83%
c. 15.46%
d. 16.33%
e. 16.92%
Answer:
Correct option is A.
14.58%
Explanation:
After-tax yield = pre-tax yield x (1- marginal rate)
and Taxable-equivalent yield = tax-exempt yield / (1- marginal tax rate)
Hence Taxable-equivalent yield =.105/(1-.28)
=.105/.72=.14583333
=14.58 %