Answer:
the numbers are missing, so I looked for a similar question:
- investment today = $3,000
- receive $10,250 in 5 years
a) I will use the future value formula to determine the internal rate of return:
future value = present value x (1 + r)ⁿ
- future value = 10,250
- present value = 3,000
- n = 5
10,250 = 3,000 x (1 + r)⁵
(1 + r)⁵ = 10,250 / 3,000 = 3.4166667
⁵√(1 + r)⁵ = ⁵√3.4166667
1 + r = 1.27855826
r = 0.27855826 = 27.86%
b) assuming a $3,000, 27.86%, 5 year annuity, the annual payment will be:
annual payment = principal / FV annuity factor, 27.86%, 5 periods
- principal = $10,250
- PV annuity factor, 27.86%, 5 periods = 8.67633
annual payment = $10,250 / 8.67633 = $1,181.38
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Answer:
Ernesto's payoff will be zero and Timothy's payoff will also be zero.
Explanation:
Ernesto and Timothy are involved in a game of rock, paper, scissors.
If a player wins his payoff is 1. If a player loses his payoff is -1.
If both players tie their payoff is 0.
Here, both Timothy and Ernesto chose paper. So, there will be a tie between them.
Thus, both of them will have zero as a payoff.