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

# Time Value of Money, Simple and Compound interest, Bangla Tutorial-1 finance honours 1st year 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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## 35 thoughts on “Time Value of Money, Simple and Compound interest, Bangla Tutorial-1 finance honours 1st year”

1. 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।

2. Nice

3. Thank you sir

4. many many thanks sir

5. স্যার শব্দ যদি আর একটু জোরে হয়ত ভাল হয়ত।।

6. thank you very much

7. Sound is very low

8. Thanks sir 🙂

9. Porer math guli kothai pabo.

10. এই সূত্র গুলো কি ফিনান্স এর?

11. Thank you so much sir

12. Investment management er math ache?

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

14. Ki ektu jura kotha bola jay na…???

15. Hi

16. 17. 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❤

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

19. bhai video ta abr upload den kisui suna na jay na

20. Sound is very bad….

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

22. 6 number math ta arekto balo kore bujale balo hobe

23. vaiiea intermediate accounting full chaptar diyen

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

25. very good tution

26. very nice

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

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

no.5 A/r

29. Good

30. sir darabahik class gula pai na .ki kora dorkar?

31. sound onak com,

32. thanks online teacher

33. Tnq u sir

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

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