Answer:
$1,042.04
Explanation:
to calculate the present value using a continuously compounded interest rate, we can use the following 2 formulas:
1) present value = cash flow / eⁿˣ
- e = 2.71828
- x = 5% / 2 = 2.5%
- n = 10
- cash flow = $1,030
present value = $1,030 / 2.71828¹⁰ˣ⁰°⁰²⁵ = $1,030 / 1.284 = $802.16
2) present value of an annuity = payment [(1 - e⁻ⁿˣ) / (eˣ - 1)]
- payment = $30
- x = 2.5%
- n = 9
- e = 2.71828
present value = $30 [(1 - 2.71828⁻⁹ˣ⁰°⁰²⁵) / (2.71828⁰°⁰²⁵ - 1)] = $30 [(1 - 2.71828⁻⁹ˣ⁰°⁰²⁵) / (2.71828⁰°⁰²⁵ - 1)] = $30(0.2015 / 0.0252) = $239.88
present value of the stream of cash flows = $802.16 + $239.88 = $1,042.04
Answer and Explanation:
The Journal entry is shown below:-
October 1
Cash Dividends Dr, $335,000
To Cash Dividends Payable $335,000
(Being a cash dividend is recorded)
November 7
No Journal entry is required
December 15
Cash Dividends Payable Dr, $335000
To Cash $335,000
(Being a cash dividend is recorded)
