Time Value of Money, Simple and Compound interest, Bangla Tutorial-1 finance honours 1st year

by autisticchiaNGMAI



Time value of Money, Simple and Compound interest, Business Mathematics, Principals of Finance, Managerial Finance, Finance & Capital Market, Time value of money (introduction) – Financial Management (FM) Time value of Money, Concept explained Simple VS Compound interest. To watch the videos continuously, go to the Play Store and download our Education BD mobile app. Or download the Education BD app by clicking on the link below. Android App: National university of Bangladesh NU Please Like, Comment and Share the Video among your friends and family members For latest updates subscribe My channel. Time Value of Money Simple Interest. mij my` Compound Interest. Pµe „w × my` Compound Interest FV = PV 〖(1 + r) ^ n Installment / wKw¯Íi K_v _vK ‡ jt PV = A / r {1-1 / (1 + r) n} FV = A / r {(1 + r) ^ n-1} m = Maturity Period (c ~ Y © Zv cÖvwßi mgq Kvj) Find the compound interest on tk. 10,000 for 4 years at 5% per annum. What will be the simple interest in the above case? Solutions: here Present value PV = 10000 Rate of interest r = 5% = 5/100 = .05 Number of year n = 4 we know, FV = PV 〖(1 + r)〗 ^ n = 10000 (1 + .05 ) ^ 4 = 1000 × 1.21550625 = 12,155.06 So interest = Fv-Pv = (12,155.06-10000) = 2,155.06 For Simple Interest: I = Pnr = 10000 × 4 × .05 = Tk.2000 (Ans) What sum of money invested at 8% per annum? Payable half-yearly for 2 years will amount to tk.1000? Here, Fv = 1000 r = 8% = 8/100 = 0.08 m = 2 n = 2 PV =? we know, FV = PV 〖(1 + □ (r / m))〗 ^ nm 1000 = PV (1 + □ ((. 08) / 2)) ^ (2 × 2) 1000 = PV × 1.16985856 PV × 1.16985856 = 1000 PV = 1000 / (1.16985856) PV = 854.80 Principal Amount = 854.80 Find the number of years and the fraction of years in which a sum of money will treble itself at compound interest at 8% per annum. Here, let present value or principal amount pv = 100 so, future value Fv = 100 × 3 = 300 rate of interest r = 8% =. 08 Number of year n =? we know, Fv = pv 〖(1 + r)〗 ^ n 300 = 100 〖(1 + r)〗 ^ n 100 (1 + r) ^ n = 300 (1 + r) n = 300/100 (1) + r) = n = 3 log⁡ (1 + .08) n = log3 n log1.08 = log3 n = log3 / (log1.08) n = (. 477121254) / (. 033423755) n = 14.27 years. (Ans) Present Value Example: What sum should be paid for an annuity of tk 2400 for 20 years at 4.50% compound interest per annum? Solution: Here, Annual installment A = 2400 Rate of interest r = 4.5% = (4.5) /100=.045 Number of year n = 20 Pv =? We know, Pv = A / r {1-1 / (1 + r) ^ n} = 2400 / (. 045) {1-1 / 〖(1 + .045) ^ 20} = 2400 / (. 045) ) {1-.414642859} = 53,333.33 × .58535714 = 31,219.05 so, present value tk. 31,219.05. (Ans) A loan of tk. 40,000 is to be paid in equal annual installment consisting of principal and interest due in course of 30 years. Find the amount of each installment reckoning interest at 4% per annum. Solution: here, pv = 40000 r = 4% = 4/100 = .04 n = 30 years A =? we know, Pv = A / r {1-1 / (1 + r) ^ n} 40000 = A / (. 04) {1-1 / 〖(1 + .04)〗 ^ 30} 40000 = A / ( .04) (1-.308318668) 40000 = A × 17.2920333 A × 17.2920333 = 40000 A = 40000 / (17.2920333) A = 2,313.20 So Annual installment tk. 2,313.20 (Ans) A man Borrows Tk.1,000 on the understanding that it is to be paid back in four equal installments at intervals of six months the first payment to be made six months after the money was borrowed. Calculate the amount of each installment reckoning compound interest at 2.5% per half year. Solutions: Pv = 1000 r = 2.5% 2 = 5% = .05 m = 2 n = 2 A =? we know, Pv = A / □ (r / m) {1-1 / (1 + □ (r / m)) ^ nm} 1000 = A / □ ((. 05) / 2) {1-1 / ( 1 + □ ((. 05) / 2)) ^ (2 × 2)} 1000 = A / (. 025) {1-.905950644} 1000 = A × 3.761974208 A × 3.761974208 = 1000 A = 1000 / (3.761974208) A = 265.82 So installment Tk.265.82 (Ans) Future Value Calculate the amount of future value of an annuity of tk3000 for 15 years if the rate of interest be 4.50% per annum. Solution: here Annual installment A = 3000 rate of interest R = 4.50% = (4.50) /100=.045 number of year n = 15 FV =? You can see my other videos … FIFO Method, Financial Accounting Bangla lecture-2 By Lecturer Md. Mostafizur Rahman Accounting Equation Part-2 (FINANCIAL ACCOUNTING) BANGLA Tutorial leverage Part-1 Financial Management. Set (Set) Business Application, Lecturer-1 [ Business Mathematics]

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Time Value of Money, Simple and Compound interest, Bangla Tutorial-1

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Time Value of Money, Simple and Compound interest, Bangla Tutorial-1
finance honours 1st year
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35 comments

Education BD 19/11/2021 - 5:49 Chiều

প্রতিটি অধ্যায়ের ভিডিও ধারাবাহিক ভাবে দেখার জন্য চ্যানেলটির PLAYLISTS এ যান এবং যে অধ্যায় টি আপনি দেখতে চান সেটি নির্বাচন করে নিন। অথবা নিচের লিংক টিতে ক্লিক করে অধ্যায় সিলেক্ট করুন। আর দেখতে থাকুন। https://www.youtube.com/channel/UCuSp8zRQslAciU1kYkyl3mA/playlists

ভিডিও গুলো ভালো লাগলে লাইক করুন, শেয়ার করুন আর নতুন হলে সাবস্ক্রাইব করে নিন। কোন প্রশ্ন বা পরামর্শ বা সমালোচনা থাকলে কমেন্টস করুন। ধন্যবাদ।।

ধারাবাহিক ভাবে ভিডিও গুলো দেখার জন্য প্লে স্টোরে গিয়ে আমাদের Education BD মোবাইল এপটি ডাউনলোড করে রাখুন। অথবা নিচের লিংকে ক্লিক করে Education BD এপটি ডাউনলোড করে নিন।

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Reply
Monir Zaman 19/11/2021 - 5:49 Chiều

Nice

Reply
Naima Khanam 19/11/2021 - 5:49 Chiều

Thank you sir

Reply
Mehedi Rana 19/11/2021 - 5:49 Chiều

many many thanks sir

Reply
MD Sahadat Hossain 19/11/2021 - 5:49 Chiều

স্যার শব্দ যদি আর একটু জোরে হয়ত ভাল হয়ত।।

Reply
Md. Ahsun Habib 19/11/2021 - 5:49 Chiều

thank you very much

Reply
Israt Jahan 19/11/2021 - 5:49 Chiều

Sound is very low

Reply
Touhid Islam 19/11/2021 - 5:49 Chiều

Helpful video …

Thanks sir 🙂

Reply
MD MAMUN 19/11/2021 - 5:49 Chiều

Porer math guli kothai pabo.

Reply
ইসলামিক সংগীত 19/11/2021 - 5:49 Chiều

এই সূত্র গুলো কি ফিনান্স এর?

Reply
Arniya Oni 19/11/2021 - 5:49 Chiều

Thank you so much sir

Reply
R Square 19/11/2021 - 5:49 Chiều

Investment management er math ache?

Reply
Yeasmin Eva 19/11/2021 - 5:49 Chiều

BBA 1st year er finance er sob math Chapter gular vedio chai

Reply
Tahrina Mahzabin 19/11/2021 - 5:49 Chiều

Ki ektu jura kotha bola jay na…???

Reply
Srabony Ismam 19/11/2021 - 5:49 Chiều

Hi

Reply
Mizan Online Academy 19/11/2021 - 5:49 Chiều Reply
M.E RAKIB 19/11/2021 - 5:49 Chiều

Sir,Apnr Prothom Math tate mistake Hoice,present Value 10,000 tk holeo but apni solution korte jeye Vule 1000 utche,correction Kore niben sir❤

Reply
Ad Himel 19/11/2021 - 5:49 Chiều

eta ki finance lesson 2 er math? law gulo milche na to

Reply
HEART AND SOUL BD 19/11/2021 - 5:49 Chiều

bhai video ta abr upload den kisui suna na jay na

Reply
Ayesha Siddiqa 19/11/2021 - 5:49 Chiều

Sound is very bad….

Reply
Amar Desh 19/11/2021 - 5:49 Chiều

ভাই ৭ কলেজ জন্য কোনো ভিডিও করলে ভাল হয়
ভাই আপনি কি ৭ কলেজ ফিন্যান্স জন্য ভিডিও করেন

Reply
g n 19/11/2021 - 5:49 Chiều

6 number math ta arekto balo kore bujale balo hobe

Reply
hoyto oviman 19/11/2021 - 5:49 Chiều

vaiiea intermediate accounting full chaptar diyen

Reply
Salma Arnika 19/11/2021 - 5:49 Chiều

Sir plss..statistic part 2 ar math gula ber koren…😭😭

Reply
Black Hat 19/11/2021 - 5:49 Chiều

very good tution

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Black Hat 19/11/2021 - 5:49 Chiều

very nice

Reply
Sesh Chirkut 19/11/2021 - 5:49 Chiều

Sir,Calculed kivabe kore ai bishoye akta tutorial den sir,please

Reply
Alif Hasan 19/11/2021 - 5:49 Chiều

ভাই সুতরে একটু মিস্টেক আছে . আমার এর সাথে মিলছে নাহ.

no.5 A/r

Reply
riaj Uddin 19/11/2021 - 5:49 Chiều

Good

Reply
santo sikder 19/11/2021 - 5:49 Chiều

sir darabahik class gula pai na .ki kora dorkar?

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Salamoth Ulla 19/11/2021 - 5:49 Chiều

sound onak com,

Reply
AN anis 19/11/2021 - 5:49 Chiều

thanks online teacher

Reply
Shohan Hussain 19/11/2021 - 5:49 Chiều

Tnq u sir

Reply
PalashTech360 19/11/2021 - 5:49 Chiều

sutre r er jaigai i deya jabe ki???PV=(1+i)

Reply
mdimran khan016 19/11/2021 - 5:49 Chiều

স্যার পারলে সাউন্ড কোয়ালিটি টা ভালো করবেন, আর দয়া করে একটু জোরে কথা বলবেন।

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