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Mathematics Clinic => Grade 11 and 12 Mathematics => Topic started by: HCHenry on Jun 6, 2019

Title: A financial obligation requires the payment of $1000.00 in nine months, and $500.00 in twelve ...
Post by: HCHenry on Jun 6, 2019

Question 1

A promissory note for $3600.00 dated May 15, 2012, requires an interest payment of $370.00 at maturity. If interest is at 9.6% compounded monthly, determine the due date of the note.

Question 2

A financial obligation requires the payment of $1000.00 in nine months, and $500.00 in twelve months. When can the obligation be discharged by a single payment of $1700.00 if interest is 12% compounded quarterly?
Title: A financial obligation requires the payment of $1000.00 in nine months, and $500.00 in twelve ...
Post by: uniquea123 on Jun 6, 2019

Answer 1

PV = 3600, FV = 3600 + 370 = 3970, i = 0.096 ÷ 12 = 0.008
n = = = = 12.27788231 = 1 year + 0.27788231 × 365 days
0.27788231 × 365 = 101.438 ≈101 days
May 15 + 101 days = 135 + 101 = 236 = August 24, 2012.
The due date is August 24, 2012.

Answer 2

Let the focal date be now; i = 0.12 ÷ 4 = 0.03; m = 4
Debts = 1000.00(1.03)-3 + 500.00(1.03)-4 = 1359.38
FV = 1700, PV = 1359.38
n = = = = 7.56456693 quarters
= 1.891141733 years
The discharge date is 1 year 325 days from now.
Title: A financial obligation requires the payment of $1000.00 in nine months, and $500.00 in twelve ...
Post by: HCHenry on Jun 6, 2019
TY
Title: A financial obligation requires the payment of $1000.00 in nine months, and $500.00 in twelve ...
Post by: uniquea123 on Jun 6, 2019
You're welcome