In return for 100,000 at times 0, an investor receives x at times 5 and 2x at times 15. Interest is calculated at a simple effective interest rate of 10%. Determine the value of x using a determination date of t*=10%

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Future value of any amount =
amount invested * (1 + interest rate)^{time}

Times 5

Value of x at times 5 =
$100,000*(1+10%)^5 = $161,051

Amount to be received at times 5
= x = $161,051

Times 15

Value of x at times 15 =
$100,000*(1+10%)^15 = $417,724.81

Amount to be received at times 15
= 2x = 2*$417,724.81 = $835,449.62

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One more quick question. The next question on the homework is the same information but instead of simple effective interest rate it just says simple interest rate. Would the answer change? I assume it does