# [FDNBUSM] Collab#2

### [FDNBUSM] Collab#2

AT
##### Alyssa Tumaneng
Alyssa's Personal Gallery
##### Transcript
00:00
FDNBUSM - C32
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PROBLEM SET #2
00:01
Group 8
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Barrion | Tan | Tumaneng
00:05
Problem #1
00:06
1. How many conversions are needed for a P500,000.00 principal to earn interest of P20,310.00 if it is invested at 4% compounded quarterly?
00:11
Problem #1
00:12
Given: n = ? P = P500,000 I = P20,310 F = 520,310 j = 4% or 0.04 m = 4 (quarterly)
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Formula: F = P(1 + i)^n Solution: 520,310 = 500,000 (1 + 0.04/4)^n 520,310/500,000 = (1 + 0.04/4)^n n = log 520,310/500,000 / log (1+0.04/4) n = 4.00
00:13
Answer: For the principal amount of P500,000 to earn an interest of P20,310, the conversion period must be 4.
00:21
Problem #2
00:22
2. Nana the mage promised his grandson Lesly that he would give him \$6,000 8 years from today for graduating from high school. Assume money is worth 6% interest compounded semiannually. What is the present value of this \$6,000?
00:27
Problem #2
00:27
Given: P = ? F = \$6,000 t = 8 years j = 6% or 0.06 m = 2 (semianually)
00:28
Formula: F = P(1 + i)^n P = F / (1 + i)^n Solution: P = 6,000 / (1 + 0.06/2)^(8)(2) P = 3,739.00
00:29
00:37
Problem #3
00:38
3. Katherine, owner of a local Subway shop, loaned \$40,000 to Pete Hall to help him open a Subway franchise. Pete plans to repay Katherine at the end of 8 years with 6% interest compounded semiannually. How much will Katherine receive at the end of 8 years?
00:43
Problem #3
00:43
Given: F = ? P = \$40,000 t = 8 years j = 6% or 0.06 m = 2 (semianually)
00:44
Formula: F = P(1 + i)^n Solution: F = 40,000 (1 + 0.06/2)^(8)(2) F = 64,188.26
00:45